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College of Science 305

COLLEGE OF SCIENCE ~ DEPARTMENTS OF THE COLLEGE OF SCIENCE ~ UNDERGRADUATE EDUCATION

the computational facilities are available, including College of Science access to a Graphics Workstation Cluster. The fa- Undergraduate Education cilities of the Radiation Research Laboratory are used The University of Notre Dame awarded its first by some faculty of the chemistry department for The aim of the program of undergraduate education bachelor of science degree in 1865. Before that research in physical chemistry. in the College of Science is to produce intellectually time, courses had been taught in mathematics (from able graduates who are grounded in the broad The Department of Mathematics is housed in 1842), in biology (from 1844), and in chemistry fundamental principles of the basic sciences, versed Hayes-Healy Center/Hurley Hall, conveniently (from 1850). In 1867, a program in general science in the advanced concepts of their chosen scientific located in the central campus. The facilities for un- was formulated. Subsequently, specialized programs discipline and educated in the humanistic and social dergraduate and graduate instruction and research were added, leading to the degree of bachelor of sci- studies, including theology. Each graduate should in mathematics include a first-rate research library; ence in botany and in zoology (both now covered by be a good scientist in his or her own field, a fully a faculty room; offices for the faculty, postdoctoral one degree in biological sciences), in environmental developed person, aware of his or her responsibilities investigators, and other visitors, graduate students, sciences, in biochemistry, in chemistry, in physics, in to society and prepared to participate fruitfully in the and staff; several research seminar and conference mathematics, and in preprofessional studies. affairs of society. rooms; and several large classrooms with state-of-the- Education in science at Notre Dame is a coordi- art media capability. nated program involving the basic sciences, the cho- Departments of the The Department of Physics, located in Nieuwland sen advanced science, and the humanistic and social College of Science Science Hall, has classrooms and laboratories for studies, including theology and philosophy. In this both undergraduate and graduate instruction and for education, the student should acquire a thorough, research. There are facilities for experimental work integrated, and broad understanding of the funda- The Department of Biological Sciences, located in in astrophysics, biophysics, condensed-matter phys- mental knowledge in his or her field, a competence the Galvin Life Science Center, has laboratories well ics, elementary particle physics, and nuclear physics. in orderly analytical thinking, and the capacity to equipped for courses of undergraduate and graduate There are three atomic spectroscopy laboratories, and communicate ideas to others, orally and in writing. instruction and research. The collections of museum some additional use is made of facilities at Argonne This system of education is so arranged to develop specimens, including the Nieuwland-Greene Herbar- National Laboratory. Elementary particle experi- in each student the desire and habit of continuing ium, are available for use in teaching and research. ments are done at the Stanford and Fermi national to learn after graduation, advancing over the years X-ray equipment and several radioactive sources laboratories, and at CERN in Geneva, Switzerland. to higher levels of professional and personal stature also are available. The facilities include darkrooms, a Detector development for the major accelerators and keeping abreast of the changing knowledge and green house, controlled environmental rooms, scan- is also being done in the department. The Nuclear problems of his or her profession. ning and transmission electron microscopes, confo- Structure Laboratory has a tandem accelerator with a Emphasis is placed on fundamental principles so cal optical microscopes, and extensive data storage heavy ion capacity and all necessary detection equip- that the students can develop abilities to apply these and retrieval equipment. ment. A variety of solid state facilities are available principles to the solution of new problems never be- The Freimann Life Science Center provides addi- fore encountered by society, to the discovery of new for the study of metals, high Tc superconductors, tional laboratories, vertebrate animal care, and asso- and semiconductors. Off-site facilities at Argonne, things and to the invention of devices not learned ciated specialized modern research facilities to serve the National High Magnetic Field Laboratory, and about in books. Notre Dame stresses basic concepts the expanding needs of the life sciences at Notre the National Institutes of Standards and Technology useful in later learning rather than masses of particu- Dame. are also heavily used. Notre Dame is a partner in the lar facts and data that can better be found in books The recently completed Hank Center for Envi- Large Binocular Telescope project, now in construc- at the time of need. ronmental Science adds more than 20,000 square tion. This will be one of the most capable facilities in feet of state-of-the-art research space for aquatic and the world for cutting-edge cosmology and astrophys- environmental biology that includes greenhouses, ics research. Research is conducted in many major wet laboratories, a field sample processing room, and areas of theoretical physics, including all of the above a fully equipped workshop. areas as well as statistical mechanics, field theory, The Department of Chemistry and Biochemistry, general relativity, and astrophysics. The department located in Nieuwland Science Hall and Stepan Hall has a substantial machine shop and research library of Chemistry and Biochemistry, has laboratories and a variety of staff technicians. Many faculty mem- devoted to research and instruction in several areas bers and research groups have computing facilities, of chemistry: physical, inorganic, organic, and and all have access to the Office of Information biochemistry. The laboratories are equipped with Technologies’ very large computers. all necessary facilities for undergraduate students, The Department of Preprofessional Studies is graduate students, postdoctoral investigators, and located in Nieuwland Science Hall. All courses for faculty. The facilities for experimental research in- students enrolled in the preprofessional program and clude many pieces of equipment, such as infrared, collegiate sequence programs are provided by the ultraviolet, Raman, mass, photoelectron, nuclear other departments of the College of Science and the magnetic resonance, and electron paramagnetic other colleges of the University. resonance spectrometers; apparatus for dielectric measurements; electrochemical apparatus; gas liquid chromatographic adsorption equipment, both ana- lytical and preparative; special apparatus for studying mechanisms and rates of reactions; special apparatus for synthesis and structural studies on biomolecules, including cell culture facilities for generating recom- binant biomacromolecules, etc. For theoretical work, 306

CURRICULA AND DEGREES

Listed below are the allowed options for students Supplementary Majors and Minors. Qualified Curricula and Degrees interested in double science majors, double majors Notre Dame students pursuing majors in the College between colleges, second majors in the College of of Science may add a supplementary major or mi- The College of Science offers curricula leading to the Science, and supplementary majors and minors in nor. Options include programs offered through the degree of bachelor of science in each of five under- the College of Arts and Letters. College of Arts and Letters and the Environmental graduate departments: Students pursuing one of these combination Geosciences minor offered through the College of programs must have superior scholastic ability and Engineering. Biological Sciences be formally accepted by the dean of both colleges Not all supplementary major programs are open Chemistry and Biochemistry involved. Approval will not be granted if there is to science students; e.g., science students may not Mathematics substantial overlap between the two programs. add the Arts and Letters Preprofessional Studies sup- Physics Note: Courses taken toward the completion of plementary major nor the Computer Applications Preprofessional Studies another major or supplementary major or minor or supplementary major. concentration requirement may not also be counted The following are degree programs offered by these Supplementary Majors, Minors, and Concen- toward the student’s other majors or minors or con- departments: centrations or University requirements. trations in the College of Science. In the College Biochemistry of Science, the term “second major” is used for a Biological Sciences Double Science Majors. In certain instances, stu- supplementary major. Three departments offer a Chemistry dents will have the option of pursuing majors in second major program specifically for students in the Chemistry combined with Business two departments of the College of Science. Details other colleges: Mathematics as a second major, phys- Chemistry combined with Computing on the double science major option and lists of ics as a second major, and environmental sciences Environmental Sciences combinations that are normally approved are found as a second major. For details, see the departmental Mathematics under “Special Programs,” later in this section of the sections of this Bulletin. Mathematics (combined witih other programs) Bulletin. There are no minor programs in the College of Physics Science. Dual Degree. Notre Dame students pursuing majors The only concentration programs offered in the Physics (combined with other programs) in two of the undergraduate colleges may qualify for Preprofessional Studies College of Science are those for mathematics majors. a five-year dual-degree program. For details, see the departmental sections of this Science-Business The requirements for a dual degree generally Bulletin. Science-Computing are as follows: The student completes all of the uni- Science-Education versity requirements, all of the requirements for both Combination Five-Year Program with the Mendoza These degree programs are described in detail in later colleges, all of the requirements for both majors, and College of Business. The College of Science and sections of this Bulletin. the total number of degree credits specified for a dual the Mendoza College of Business have established a degree in the two colleges. While the total number of competitive cooperative program in which a student See also the bachelor of science degree programs of- hours required does depend on the two major pro- may simultaneously earn a bachelor of science and fered by the College of Engineering: grams, the minimum required total number of de- a master of business administration degree. The Computer Science gree credits is set to be 30 degree credits beyond the program is structured so that the student who has Environmental Geosciences college total for the college with the greatest required completed the three years of a science bachelor’s number of degree credits. For students completing a degree program, if accepted, completes the master of Each College of Science student must enroll in dual degree in the College of Science and the College business administration and the bachelor of science the department of his or her major beginning with of Arts and Letters, the minimum number is thus in a major in the College of Science in a summer ses- the sophomore year. However, students may change 154 hours. sion and two subsequent academic years. freely from one program to another within their de- Students who wish to pursue this program should Double Majors in Two Colleges. Qualified Notre partmental major and may also change departments have a superior scholastic record in their major pro- Dame students pursuing majors in one of the other at any time up through the seventh class day of their gram and must make application to, and be accepted undergraduate colleges or schools may add another senior year. by, the M.B.A. program. major in the College of Science. Additionally, quali- The College of Science maintains a Web site at The general sequence of courses in the five-year fied Notre Dame students pursuing a major in the www.science.nd.edu. Further information related to Science-M.B.A. program may be found under “Dual College of Science may also add another major in programs offered by the college may be found at that Degree Program with the Mendoza College of Busi- one of the other undergraduate colleges or schools. location. ness,” later in this section of the Bulletin. The requirements for a double major between colleges generally are as follows: The student completes all the University requirements, the re- quirements of his or her college or school, and the requirements of both majors. In general, a single course may not satisfy requirements for both majors. 307

UNIVERSITY AND COLLEGE REQUIREMENTS

Students with no previous background in a Some major programs have a science elective University and College language should start with a beginning-level course. requirement. Recommended science electives for Requirements They take typically either nine credits over a three- particular science majors are found on the college’s semester period or two semesters of an intensive Web site, www.science.nd.edu. For a course to be a

language sequence (8–10 credits total). Placement science elective, it must meet the following rules: (1) A minimum of 124 credit hours is required for for students with some background in French, Span- It is offered through one of the departments of the graduation from the College of Science. A minimum ish, Latin or German will be made only by exami- College of Science or through the college itself. (2) of 60 credit hours must be in science; however, each nation (1) through the Advanced Placement test, (2) It is major’s level; that is, other science majors are department may specify more than 60 credit hours through the SAT II Subject test (French and Span- required to take this course to meet a major require- for any of its programs. ish), (3) through the International Baccalaureate Pro- ment or it has a prerequisite course that is offered All College of Science majors must fulfill Uni- gram or (4) through the Notre Dame departmental for science majors, or the Bulletin description for the versity requirements, which include: placement examinations. A maximum of six credits course states that it is a science elective in the College FYC 3 hours of placement can be granted for previous study in a of Science. Finally, note the departments may place *Theology 6 hours given language. Thus, typically, College of Science additional restrictions on allowed science electives, *Philosophy 6 hours students who have completed the language require- e.g., in the Department of Biological Sciences, a sci- *History 3 hours ment will count from six to 10 credits in language ence elective must be a non-biology course. *Social Science 3 hours toward the 124 credits required for graduation. All College of Science courses offered by a major *Fine Arts or Literature 3 hours The College of Science will count a maximum program must be taken at the University of Notre of three credit hours from the following types of Dame. If a student wants to take a course outside * One of these courses must be a University Seminar activity courses: Notre Dame for credit toward the Notre Dame degree, prior approval of the dean’s office must be 180. Band (Marching and Concert) obtained. This does not apply to the courses taken In addition, all College of Science majors must take Orchestra by a transfer student prior to attending Notre Dame. courses in: Chorale Chemistry (113, 114 or 117, 118 or 125, 126) Glee Club Advising. All Notre Dame science majors have been Mathematics (119, 120 or 125, 126 or 165, 166) Liturgical Choir assigned an advisor in the department of their major. Physics (131, 132 or 151, 152 or 221, 222). Folk Choir All advisors are members of the faculty of the Col- Music Lessons and Ensembles lege of Science. In some departments, the director The appropriate sequence for a student depends on Dance of undergraduate studies for the department advises the student’s major. Debate all students. In others, the director of undergraduate The College of Science requires language profi- Social Concerns Seminar (including THEO 360) studies or the department office may be contacted to ciency through intermediate level in one of the fol- Science in the Classroom (SC 495) find out the name of the student’s advisor. A com- plete list of names of advisors is kept on the science lowing languages: Arabic, Chinese, French, German, No more than one credit hour total from any of Web site. Greek, Irish, Italian, Japanese, Latin, Portuguese, these courses may be counted toward the degree Notre Dame students who have questions Russian, and Spanish. Students may complete the per semester. Additionally, a maximum of six credit concerning the choice of a major or considering a language requirement by either completing a course hours of upper-level (300- or 400-level) ROTC change of major are urged to make appointments taught at intermediate level or by demonstrating courses can be counted toward the 124- credit-hour with the advisors of the departments involved. Stu- proficiency through placement examination. The requirement. These courses will be counted as free dents needing help choosing from similar majors college office maintains a list of language courses electives. may request an advising appointment with the as- at intermediate level. (See the college Web site, Not all science courses will count toward degree sociate dean of the College of Science, 174 Hurley www.science.nd.edu.) credit or science elective credit for science majors. Hall. The survey science courses offered as options for non-science majors for their University science requirement will not count as a science elective or to- ward the minimum science credit hour requirement. Because of overlap in content with required courses for science majors, many of these courses will also not count toward the degree credit requirement (see “Science Degree Credit,” later in this section of the Bulletin). 308

STUDENT ORGANIZATIONS AND ACTIVITIES ~ STUDENT AWARDS AND PRIZES

R. Catesby Taliaferro Competition for Sophomore Student Organizations Student Awards and Prizes Mathematics Honors Students. Friends and students and Activities of the late Professor Taliaferro established this prize, The Dean’s Award. Presented to the outstanding which is awarded to a sophomore mathematics major graduating senior in the College of Science in recog- on the basis of an essay submitted by the student. In addition to participation in University-wide nition of exemplary personal character, leadership, student activities, the undergraduate students of the J & C Sophomore Award in Mathematics. Exemplary service, and outstanding achievement. Selected by College of Science may participate in activities di- performance in mathematics classes by a non-honors the dean and associate dean. rectly related to science, including the undergraduate math major sophomore female or minority (Afri- departmental science organizations: the Biology Outstanding Senior Biological Scientist(s). To the can-American, Asian, Hispanic, Native American) Club, the Notre Dame Chapter of Student Affiliates senior(s) who has/have demonstrated the most student. of the American Chemical Society, the Mathematics promise in the biological sciences as evidenced by Outstanding Senior Physics Major. This award is given Club, the Society of Physics Students, the Premed both academic performance and research to the outstanding senior physics major who, in the Club (preprofessional), the Prevet Club, the Science- participation. judgment of the departmental faculty, shows the Business Club, and the Notre Dame Chapter of Al- most promise for a distinguished career in physics. pha Epsilon Delta (premedical honorary fraternity). American Institute of Chemists Award. For scholastic achievements, ability, and potential advancement in Course grades, the opinion of those who have taught Student Council. The Student Council of the Col- the chemical profession. the candidates, and any research performance are lege of Science is composed of representatives of considered in making the award. the majors of the College of Science. The student Merck Index Award. For outstanding achievements in Physics Outstanding Undergraduate Research Award. council serves as the official body representing the chemistry or biochemistry. A monetary award given for excellence in research to undergraduate students before the administration of Norbert L. Wiech Awards. Given to two chemistry an undergraduate physics major. the College of Science. or biochemistry majors in the junior year for out- standing achievement in academics or research. DiNardo Award. To the outstanding junior prepro- fessional student. Outstanding Biochemist Award. For leadership, ac- ademic achievements, research and scholarship in Emil T. Hofman Scholarhips. To six outstanding stu- biochemistry. dents pursuing premedical studies. Outstanding Chemist Award. For academic and re- J.C. Lungren, M.D., Scholarships. Awarded to three search achievements in chemistry as an outstanding science preprofessional students. undergraduate. The Lawrence H. Baldinger Award. To seniors in the William R. Wischerath Outstanding Chemistry Major preprofessional program who excelled in scholarship, Award. For academic achievements of a graduating leadership, and character. senior chemistry major. , The Patrick J. Niland, M.D., Award. A monetary Chemistry-Education Award. For academic achieve- award given to a preprofessional studies senior to ments in preparation for teaching of chemistry in a purchase books for the first year of medical school.

secondary education system. The General Electric Prizes for Honors Majors in The Samuel Chmell, M.D., Award. To an outstanding Mathematics. Awarded to senior honors majors in the senior in preprofessional studies who exemplifies Department of Mathematics who, in the opinion of high academic achievement and uncompromising the members of the faculty, excelled in mathematics integrity within the program. during their undergraduate career. The Chairman’s Award. To a senior with a keen social The General Electric Prizes for Majors in Mathematics. awareness who shows great promise as a concerned A similar award to senior majors. physician. The George Kolettis Award in Mathematics. An award established by friends of the late Prof. George Ko- lettis, for a graduating senior who excelled in mathe- matics and contributed notably to the esprit de corps of the mathematics student body. The Aumann Prize for First Year Students in Mathematics.A prize given by Ms. Monika Cara- donna in honor of her father, Prof. Georg Aumann, awarded on the basis of a competition among First Year honors mathematics students. The Norman and Beatrice Haaser Mathematics Schol- Alan Johnson arships. These scholarships, made possible by the Professor of Biological Sciences generosity of Professor and Mrs. Haaser, are awarded 2004 Recipient of the Shilts-Leonard to worthy, needy students majoring in mathematics. Teaching Award in the College of Science 309

SPECIAL OPPORTUNITIES

The Environmental Research Center (UNDERC), Special Opportunities a University facility, is composed of approximately 7,500 acres located primarily in the Upper Peninsula Arts and Letters/Science Honors Program. In the of Michigan. Research is conducted at UNDERC fall of 1983, the University inaugurated an honors by undergraduate as well as graduate students on a program for a small number of outstanding students variety of environmental problems, including the in the College of Arts and Letters and the College manipulation of ecosystems. Internships are available of Science. A limited number of students with aca- to support student participation in BIOS 569 at demic intents for each college are invited to apply UNDERC each semester. for this program in the spring before their first year. International Studies Program. Students from any Although selection criteria include the promise of of the majors in the College of Science may par- outstanding academic performance as demonstrated ticipate in one of the University of Notre Dame’s by standardized test scores and high school perfor- international study programs. Science students who mance, the program is looking for more than mere go abroad generally do so in one of the two semesters academic ability. It hopes to identify students with of their junior year. Science students interested broad interests in science and the humanities. in international studies should discuss their plans The program offers honors sections to fulfill with their advisor and with the associate dean, 248 most of the University and college requirements in Nieuwland Science Hall. Further information can be the students’ first and sophomore years. At present, obtained through the International Study Programs there are honors sections of theology and philoso- office, 109 Hurley Hall. phy, physics, mathematics, core course, literature, and social science. Since most of these sections are restricted to honors students, they are smaller than non-honors sections and some are taught in a seminar format. Honors Program students meet the seminar requirement of the University by taking the first-year Honors Program Seminar. The teachers for honors sections are chosen from among the most outstanding teachers in each college. After the first year, each student’s academic work will be mainly centered in his or her major field of study, but a small number of elective honors courses also will be offered. In the senior year, a combined arts and letters/science seminar is required in the fall semester. For students in the College of Science, special em- phasis is placed on involving the student with ongo- ing research programs as early as their sophomore year but more typically in their junior and senior years. Each student is guided by a faculty member who functions as his or her research advisor and mentor. Thus, students and faculty meet regularly in both formal and informal settings, and this inter- action leads to the completion of the honors thesis during the senior year in the student’s major field of study. In addition to the focused academic features of the Honors Program, students are offered oppor- tunities each semester for informal evening colloquia on topics of broad intellectual interest. These and other occasional events allow the mutually enlight- ening exchanges between students and faculty that are less possible in the formal settings of classroom and lecture hall. Further information on the structure and con- tent of the Honors Program may be obtained by contacting the Office of the Dean of the College of Science. 310

BIOLOGICAL SCIENCES

P r o g r a m s o f S t u d y

Biological Sciences Program of Studies. The Department of Biological Policy Statement on the Use of Organisms in Sciences offers programs of study leading to the Biological Sciences Teaching Laboratories. Some Chair: degrees of bachelor of science with a major in bio- laboratory courses offered by the Department of Charles F. Kulpa Jr. logical sciences or bachelor of science with a major Biological Sciences may involve the use of living Assistant Chairs: in environmental sciences, master of science in or preserved organisms. Instructors use these animal Paul R. Grimstad; Ronald A. Hellenthal; Gary biological sciences and doctor of philosophy. Also of- specimens in cases where this is deemed necessary A. Lamberti fered is a second major in environmental sciences for for teaching important biological concepts and Director of Undergraduate Studies: students in the College of Arts and Letters or in the principles.Students who have concerns about the use of Paul R. Grimstad College of Business Administration. organisms in classes must, prior to registering, submit George and Winifred Clark Professor a request for alternate materials to the course instruc- Program in Biological Sciences. The biological sci- of Biological Sciences: tor. It is up to the discretion of the instructor(s) as ences encompass all aspects of microbial, plant and Frank H. Collins to whether and how non-organism alternatives may animal life. They include the biochemistry, genetics, Coleman Professor of Life Sciences: be substituted for biological materials in classes. development, physiology, evolution and ecology of Martin P.R. Tenniswood Students permitted to use alternate materials are all living things. Every educated person must have Galla Assistant Professor: responsible for the same knowledge and application sound knowledge of the fundamental principles and Jennifer L. Tank as their classmates and may be required to complete facts of the biological sciences in order to understand Professor and Gillen Director of UNDERC: examinations that involve the inspection or handling of himself or herself and the world in which he or she biological specimens. Gary Belovsky lives. In addition biologists, through their research, Martin J. Gillen Professor of Biological Sciences: contribute to the development of theories and meth- John G. Duman BACHELOR OF SCIENCE WITH A MAJOR ods required for the solution of humanity’s problems IN BIOLOGICAL SCIENCES Clare Boothe Luce Associate Professor: in the fields of health, agriculture, industry and the Hope Hollocher preservation of the environment. The biological sciences majors take the following ba- Walther Cancer Institute Associate Professor: An undergraduate major in biological sciences sic sequence of courses in the College of Science: Crislyn D’Souza-Schorey prepares a student for graduate study (M.S., Ph.D.. General Chemistry (CHEM 113–114 or 117–118 Professor and Rev. Howard J. Kenna, C.S.C. Memorial M.D./Ph.D.) leading to a research career, and also or 125–126) Director of the Zebrafish Center: for admission to medical, veterinary and other Organic Chemistry (CHEM 247-248 and 247L- David R. Hyde professional schools. Graduates with a bachelor’s 248L)1 Professors: degree may enter careers in industry, government or Physics (PHYS 221-222)2 Harvey A. Bender; Nora J. Besansky; health-related research laboratories. Those who wish Calculus (MATH 119–120 or 125–126) Harald E. Esch (emeritus); Malcolm J. Fraser; to teach at the elementary or secondary level should Science elective (a three-or-more-credit science-ma- Morton S. Fuchs (emeritus); be sure to include required education courses such as jor course, other than a biological sciences course)3 William C. Hamlett (adjunct); those offered through Saint Mary’s College. College The requirements in biological sciences include Ronald A. Hellenthal; David R. Hyde; and university teaching requires the Ph.D. degree. courses from a basic core sequence and sufficient Alan L. Johnson; Gary A. Lamberti; The goal of the Department of Biological Sciences numbers of BIOS electives to complete the 41-cred- David M. Lodge; Kenneth Olson (adjunct); is to educate its majors first as scientists prepared for it-hour requirement. There are seven components to Joseph O’Tousa; Morris Pollard (emeritus); the challenges of modern biology and second for any the biology core requirement, consisting of courses David W. Severson; Kristin Shrader-Frechette specialty area(s) in which they develop an interest, in the following areas: (concurrent); Kenyon S. Tweedell (emeritus); especially if that interest is directed toward graduate Core I: Introductory Biology Paul P. Weinstein (emeritus); JoEllen Welsh school and research. Also, for the approximately 60 a. Metabolism and Genetics Associate Professors: percent of biology majors who initially express an b. Ecology, Diversity, and Physiology John H. Adams; Sunny K. Boyd; Peter Diffley interest in going to medical school or other health- (concurrent); Jeffrey L. Feder; related graduate programs, the key topic areas of Students choose from either: Paul R. Grimstad; Lei Li; Robert E. Kingsley modern biology emphasized in the core curriculum • Biological Sciences I and II (BIOS 161–162) (in- (adjunct); Rev. James J. McGrath, C.S.C. are also very relevant to their training as “medical” cludes two labs)4 or (emeritus); Edward E. McKee (adjunct); biologists. • General Biology A and B (BIOS 201-202) (in- John F. O’Malley (adjunct); Students majoring in biological sciences are required cludes two labs)4 Jeanne Romero-Severson; Neil Shay; to follow a core curriculum. This core not only pro- Kevin T. Vaughan vides exposure to most areas of modern biology but Core II: Cellular, Genetic and Molecular Biology Assistant Professors: also includes courses representative of all the levels a. Modern Genetics Michael T. Ferdig; Kristin M. Hager; of biological organization, i.e., from atoms and Students choose from either: Jessica Hellmann; Edward H. Hinchcliffe; molecules through ecosystems. Students unsure of • Classical and Molecular Genetics (BIOS 250 and Mary Ann McDowell; Jeffrey S. Schorey which area of biology most appeals to their interests 250 L)5 or will more easily arrive at that decision through the • Fundamentals of Genetics (BIOS 303 and 303L) completion of the core. b. Cell Biology Students choose from either: • Molecular Cell Biology (Majors) (BIOS 241 and either 241R or 341L)5 or • Cellular Biology (BIOS 341 and 341L) 311

BIOLOGICAL SCIENCES

SUMMARY OF REQUIREMENTS FOR GRADUATION FOR ANY BIOLOGICAL SCIENCES MAJOR Core III: Ecology Students choose from either: Year Usually • General Ecology (BIOS 312) (includes lab) or Credits Taken • Aquatic Ecology (BIOS 420) (includes lab)

Biological Sciences* 41 all If both ecology courses are taken, the second counts as the Core VI course (below). Chemistry (113–114 or 117–118 or 125–126; 8 First year Core IV: Developmental Biology and 247-248 with labs) 10 Sophomore Students choose from either: • Developmental Biology (BIOS 342; optional lab Physics (221-222, or BIOS 342L) or 131–132 or 151–152) 8 Junior • Experimental Animal Development (BIOS 414) (includes lab) Mathematics (119–120 6 or 125–126) 8 First year Core V: Physiology Students choose from either: Science Elective (cannot be BIOS) 3 Junior/Senior • Vertebrate (Human) Physiology (BIOS 344; op- tional lab BIOS 344L) or Total Science: 78 •Integrative Comparative Physiology (BIOS 421; optional lab BIOS 421L) History** 3 First year Core VI: Evolution and Organismal Biology Social Science** 3 First year Students choose among: • General Botany (BIOS 304) (includes lab) Philosophy** 6 Sophomore/Junior • Evolution (BIOS 305) • The History of Life (BIOS 310) Theology** 6 Sophomore/Junior • Plant Science (BIOS 325) • Vertebrate Biology (BIOS 404) FYC 110 3 First year • Plant Science (BIOS 325) • General Entomology (BIOS 406; optional lab Language Intermediate Level Competency Sophomore/Junior BIOS 406L) • Animal Behavior (BIOS 407) Literature/Fine Arts** 3 Junior/Senior • A second ecology and other new courses, includ- ing 500-level graduate courses, as developed for Free Electives 13+ Sophomore/Senior Core VI or so designated by the department7

Physical Education or Core VII: Microbiology and Infectious Disease ROTC (2 semesters) 0 First year Students choose among: • Principles of Microbiology (BIOS 401; optional 124 credits lab BIOS 401L) • Arthropods and Human Diseases (BIOS 408; op- tional lab BIOS 408L) • Medical and Veterinary Parasitology (BIOS 415; * It is essential for prospective biology majors to begin their general biology courses in the first year in order to optional lab BIOS 415L) schedule all required core curriculum courses within a four-year period. • Virology (BIOS 416) ** One of these courses must be a University Seminar. • Immunology (BIOS 419) • Epidemiology (BIOS 427) + Minimum number of free electives based on the assumption that intermediate-level competency in language was • Cellular and Molecular Basis of Human Disease achieved by taking three-credit courses. (BIOS 435) Majors with AP course credits and/or language Credit by Exam (CE) often have time to incorporate 20 or more • AIDS (BIOS 440) and other new courses, includ- free elective credits (i.e., a second major or minor) into their four-year course selection. ing 500-level graduate courses, as developed for Core VII or so designated by the department7

Students are required to take a total of six labo- ratories; five of the six labs will be part of the Core (Core I(a,b), II(a,b), and III), and the sixth labo- ratory must be chosen from Core areas IV to VII. The minimum required credits in the core including labs is 33. An additional eight credits of electives in biological sciences are chosen to complete the required total of 41 credits.8,9 All biological sciences majors are encouraged to include non-science among their “free electives.” 312

BIOLOGICAL SCIENCES

Notes: 9. Undergraduate Research (BIOS 498), Teaching For this grouping, students follow the core cur- 1. All first-year majors completing BIOS 161–162, Practicum (BIOS 495), and Directed Readings riculum, making choices in areas I to IV and VI. or those enrolling in BIOS 201, are required to (BIOS 497) count toward the 41-credit biological In the area of Core V, Physiology, students should select the sequence CHEM 247-248 and its labs. sciences requirement; however, only a maximum consider taking both courses listed. In the area of This is especially important for career-oriented of two credits per semester per course and a com- Core VII, the courses Introduction to Microbiology majors in biological sciences. Only those students bined total of six credits from all of these three (BIOS 401) and Virology (BIOS 416) are recom- changing their majors to biological sciences while courses may be counted in fulfilling the 41-credit mended. For electives in biological sciences, a course enrolled in CHEM 223 or 224 would complete requirement. A maximum of only nine credits in in Immunology (BIOS 419), Genomics (BIOS 423), this alternative sequence. Students may not switch these three courses may be used toward graduation; or Advanced Cell Biology (BIOS 539) is recom- from CHEM 223 to CHEM 248 to complete the however, additional credits do remain on a student’s mended. Molecular Genetics (BIOS 418) is also rec- organic chemistry sequence. permanent transcript record. ommended as an elective. Dependent on the credits 2. Alternatively, students may select the physics associated with the choice of courses made in the sequences PHYS 131–132 or PHYS 151–152. RECOMMENDED COURSE GROUPINGS core, students will generally be required to pick one 3. Any non-BIOS major-level College of Science or more electives in biological sciences to complete courses (i.e., those taken to meet science-major After consultation with the director of undergraduate the requirement of 41 credits. requirements and not those designated as “Rec- studies or other faculty advisors including research Organismal and Community: This grouping is ommended University electives”) and that are not mentors, each student is encouraged to select the primarily intended for students planning careers in being used to fulfill other specific graduation re- curriculum which best fits his or her career goals. A ecology, environmental biology and related areas and quirements can be used to satisfy the “Science Elec- great deal of flexibility is permitted in designing each allows students to develop considerable expertise tive” requirement (one three-credit hour course). individual’s projected course schedule, within the during their undergraduate years. It requires electives 4. All majors are strongly encouraged to complete context of the core curriculum. For students wish- in biological sciences beyond the 41 credits required the sequence Biological Sciences I and II (BIOS ing to emphasize specific areas of biology in their of the major. Individual interests may be accom- 161–162) in their first year to ensure the com- curricula, the following four course groupings are modated by judicious choice of biological science pletion of all requirements in four years. Students provided as guides that have proved to be appropriate courses and of the science elective. may begin the core with General Biology A and B for most of our previous graduates. (BIOS 201–202); however, they will be at a con- Students interested in this area of biological sci- ences may wish to take advantage of the siderable disadvantage in scheduling requirements General Biosciences: This grouping gives the stu- University in the two remaining years; they also will have one dent a broad foundation in biological sciences by of Notre Dame Environmental Research Center (UN- year less to explore their interests in biology. requiring electives from each of its major areas. This DERC), a University facility which comprises about 5. Career-oriented majors in biological sciences, grouping is designed as preparation for the Gradu- 7,000 acres, including more than 20 lakes, in the as well as those considering a professional school ate Record Examination (GRE) in biology, or the Upper Peninsula of Michigan. Biological research (medicine, veterinary science, others), are urged to Medical College Admission Test (MCAT). Students (including whole-ecosystem experiments), graduate select the courses Molecular Cell Biology (BIOS considering graduate school or secondary science ed- studies and undergraduate course work take place at 241) and Classical and Molecular Genetics (BIOS ucation, or those without a clear career goal, should the center. Paid internships are available to support 250). These should be taken in the sophomore year consider these courses. student participation in BIOS 569 at UNDERC but no later than the junior year. Here, students follow the core curriculum, each summer. 6. Physiology should be completed by the end of making choices in areas I to V and VII. In the area In this grouping, students follow the core cur- the junior year for students planning to take the of Core VI, the course Evolution (BIOS 305) or riculum, making choices in areas I, II, IV, V, and MCAT exam or the seventh semester for students the course The History of Life (BIOS 310) are VII. In the area of Core III, Ecology, students should planning to take the GRE biology subjects exam. recommended. Also recommended for electives in consider taking both courses listed. In the area of 7. Most graduate (500-level) courses (through 579) biological sciences is a course in either vertebrate Core VI, students are encouraged to take General are open to eligible juniors and seniors; often the or invertebrate biology (e.g., BIOS 404, Vertebrate Botany (BIOS 304) or Plant Science (BIOS 325). majority of students in these advanced courses are Biology, or BIOS 406, General Entomology). De- Also recommended from Core VI are Vertebrate undergraduates. pendent on the credits associated with the choice Biology (BIOS 404) and/or General Entomology 8. Students may choose additional courses in the of courses made in the core, students will generally (BIOS 406) and Animal Behavior (BIOS 407). be required to pick one to two more electives in Core areas III and V through VII or among courses Microbiology and Infectious Disease: This grouping biological sciences to complete the requirement of 41 not assigned to the core (e.g., BIOS 411, Biosta- is intended for students interested in microorganisms credits. tistics, or BIOS 498, Undergraduate Research), and molecular biology and who are considering grad- or 500-level courses, to meet the required total of Cellular and Subcellular: This grouping was de- uate study in these areas. It is also appropriate for 41 credit hours in biological science courses. Up signed for students considering graduate study in any premedical students. It requires electives in biological to six hours of select science-major course work of the many areas of cellular biology and biochemis- sciences beyond the 41 credits required of the major. (e.g., CHEM 420) can be substituted for biological try. It is also appropriate for premedical students who Here, students follow the core curriculum, mak- sciences electives with the consent of the Director do not choose the general biosciences grouping. ing choices in areas I to VI. In the area of Core of Undergraduate Studies for the Department of VII, students should take Principles of Microbiol- Biological Sciences once the non-BIOS sequence ogy (BIOS 401 and the lab BIOS 401L); Virology elective has been completed. (BIOS 416); or Medical and Veterinary Parasitology (BIOS 415); Immunology (BIOS 419); Cellular and Molecular Basis of Human Disease (BIOS 435); and Epidemiology (BIOS 427) and/or A.I.D.S (BIOS 440). 313

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Sample Curriculum: The sample curriculum for the Senior Year BIOLOGICAL SCIENCES four-year program listed below is only one of a num- Fall Semester COURSE DESCRIPTIONS ber of ways a student can complete all the require- BIOS Core VI (Evolution/Organismal ments for a biology major. Students should discuss Biology) 3 Course descriptions. The following course descrip- their specific interests with their departmental advi- BIOS Core VII (Microbiology/ tions give the number and title of each course. The sor and plan their semesters accordingly. Alternative Infectious Diseases) 3/4 courses listed below are those reasonably expected sample curricula can be developed with the assistance BIOS/Science Elective5 3 to be offered several times to every semester during of the biology advisor. Science Elective6 3 the next four years. However, changes may occur Note that this sample curriculum asumes that Free Elective 3 as faculty add new courses or drop those with little no AP or language CE credits are included. ———— demand. Courses without laboratories are indicated 12/13 as lecture only. The first number in parentheses in- First Year Spring Semester dicates lecture hours; the second indicates laboratory Fall Semester BIOS VI or VII 3/4 hours; the third indicates total credits for the course. BIOS 161 (Core Ia: Principles) 4 BIOS/Science Elective5 3 MATH 119 or 125 4 Biology Survey Courses (101–117) Free Elective 3 CHEM 113, 113L or 117, 117L 4 Prerequisite: One year of high school chemistry and Free Elective 3 History or Sociology1 3 biology. For first-year students only. These courses ———— FYC 110 3 are designed for non-science majors and will address 12/13 Physical Education or ROTC 0 fundamental aspects of modern biology. There will TOTAL: 124 minimum ———— generally be six sections of biology survey courses 1 One of these courses must be University Seminar 180. 18 available each year; any course may have multiple Spring Semester 2 Students delcaring a biology major during the fall sections. The listed courses (and new courses) are BIOS 162 (Core Ib: Principles) 4 semester of their sophomore or junior year while taking offered when demand warrants it, allowing subject MATH 120 or 126 4 organic chemistry (CHEM 223/223L) must complete matter to change depending on students’ interests CHEM 114, 114L or 118, 118L 4 the sequence with CHEM 224/224L. For all other and needs and emerging or changing areas of life History or Sociology1 3 biology majors, CHEM 247/247L and CHEM 248/ science. These courses generally are Recommended Theology or Philosophy1 3 248L are required courses. In special circumstances, University Electives and are not open to science Physical Education or ROTC 0 with the permission of the director of undergraduate majors. ———— studies in biological sciences, students may receive per- These 100-level survey courses satisfy the science 18 mission to satisfy the organic chemistry requirement by requirement for non-science majors at Notre Dame. Sophomore Year taking CHEM 223/223L and/or CHEM 224/224L They do not satisfy the science requirements for sci- Fall Semester during Notre Dame’s summer session. ence majors at Notre Dame or elsewhere. Students BIOS 250 (Core IIa: Genetics) 5 3 Offered spring semester also. may not take both BIOS 101 and 110 for degree CHEM 247, 247L2 5 credit because of the similarity in lecture material. 4 Theology/Philosophy 3 For premedical students, it is strongly recommended Language 3 that the student take a 300-level English literature 101. Human Genetics, Evolution, and Society ———— course. This ensures that the student will be able to meet (3-0-3) Bender 16 the standard medical-school admission requirement of This course will address fundamental biological prin- Spring Semester two English courses. Medical ethics and biochemistry ciples using the two cornerstones of modern biology: BIOS 241 (Core IIb: Cell Biology) 4 are also generally required. genetics and evolution. Elementary chemistry, cell 2 CHEM 248, 248L 5 5 A BIOS/Science elective can be any 300-500 level theory, reproduction and development will also be Theology/Philosophy 3 biology course, not counted as part of the Biology covered. The emphasis, however, will be on human Language 3 Core Curriculum or any science-major course, other genetics and will include such topics as the cause and effects of genetic abnormalities, the genetic basis ———— than those required, and approved by the director of of intelligence and skin color, genes and cancer and 15 undergraduate studies for the Department of Biological elementary population genetics. The state of “ge- Junior Year Sciences. netic engineering” research, the recombinant DNA Fall Semester (overseas study is an option) 6 BIOS Core III (Ecology)3 4 Same as above, but must be a non-biology course. Bio- controversy (including the implications of this kind Physics 221, 221L 4 chemistry (e.g., CHEM 420) is especially recommended. of research on society and the individual) will be Free Elective 3 In addition to the undergraduate curriculum, the presented. Fall and spring. Theology/Philosophy 3 Department of Biological Sciences offers programs Language 3 of graduate study leading to the degrees of master of 106. Common Human Diseases ———— science and doctor of philosophy, as described in the (3-0-3) Staff 17 Graduate School Bulletin of Information. The goal of this course is to introduce students to Spring Semester diseases that may afflict them, their parents and/or BIOS Core IV (Developmental Biology) 4 their children, as well as other health problems com- BIOS Core V (Comp. Physiology) 5 mon to the tropics. It will provide the student with Physics 222, 222L 4 the information necessary to understand the biology Fine Art/Literature4 3 of the disease process. Fall. Students may not take this ———— course and the course SCPP 102. 16 314

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107. Environment and Evolution 116. Biology and Nutrition The laboratory sessions are an integral part of the (3-0-3) Staff (3-0-3) Staff lecture courses, which will complement the lectures. Emphasis will be placed upon today’s ecological This course provides a general overview of the field In addition, students learn to present their findings and environmental problems and the possible effect in nutrition. Topics to be presented include an as they would for a journal article or a scientific they may have upon the future evolution of life on introduction to the field of nutrition, nutrient com- meeting (seminar and poster presentations). The Earth. Topics will generally include an overview of position of foods, recommended intakes and health lab sessions will offer the student direct experience the theory of evolution and a discussion of ecological claims, a review of the nutrients, food intake and in using the scientific method and simultaneously principles as observed at the population, community energy balance, sports nutrition, eating disorders, provide an introduction to numerous biological and and ecosystem levels. The influence of cultural and current issues of food safety, fads, and other aspects analytical techniques. political factors will also be discussed. Each academic encompassing nutrition during all stages of life. On Note: Students are not allowed to switch from the year, one or more sections will be offered; some demand. 201–202 sequence to the 161–162 sequence. BIOS may be individually subtitled, allowing for one-time 201 must be completed before BIOS 202 is taken; presentation of specific topics within the context of 117. Biodiversity: Its Challenge and Future similarly, BIOS 161 must be finished before BIOS 162 “environment and evolution” in addition to mul- (3-0-3) Staff is taken. In some instances, students who started with tiple-semester presentations of a specific topic (e.g., Today, species of plants and animals are going BIOS 161 will be allowed to finish the basic biology Evolutionaty Ecology, Freshwater and Society, Wild- extinct at an unprecedented rate in the 3.5 billion sequence with the course BIOS 202. While this is al- life Biology, Environmental Issues and Solutions). year history of life on Earth. Not only are species lowed, a student should not plan this as an option. Note Fall and spring. going extinct, but complete assemblages of species that both BIOS 161 and 202 are fall courses; thus, in particular habitats are threatened. The class will for students changing between first- and second-year 108. Revolutions in Biology survey the reasons why this disappearance of species sequences, BIOS 161 would have been taken in the fall (5-0-3) Diffley and habitats concerns biologists, the basic concepts of the first year along with general chemistry, and BIOS The goal of this course is to teach six basic tenets that biologists hope to employ to help prevent the 202 would need to be taken in the spring of the sopho- of biology, the historical context for each discovery, continuance of this trend, and the problems faced in more year after completion of general chemistry. the scientific and technical advances made and their formulating policies that address this problem. This 191. Molecular Genetic Technology ethical implications. The topics will include genetics human problem is important locally and globally, (3-0-3) Whaley and evolution, cell biology and biochemistry, the since legislation attempting to halt the loss of biolog- Open to non-science honors students only. Not germ theory, and ecology. A term paper is required. ical diversity will affect the actions of people at the available to students who have previously taken Summer. community, state, national and international levels. BIOS 101 or BIOS 110. To the majority of people in the USA and other de- The objectives of the course are to have students 109. Human Reproduction and Society veloped countries, concern for biodiversity is second learn the basics of cell division and Mendelian (3-0-3) Staff only their economic well-being. On demand. Basic aspects of human development and repro- genetics and then explore the relatively new field of DNA technologies such as gene cloning, genetic duction will be covered from conception through BIOLOGY MAJORS COURSES (161–498) sexual senescence. In addition, the science behind testing, biotechnology, and cancer genetic analysis. This course also has a service learning component many currently debated social issues will be ad- 161–162. Biological Sciences I and II in which students will work at the Logan Center in dressed. Selected topics might include causes and (3-3-4) (3-3-4) Belovsky, Shay, Olsen South Bend. Fall. treatment of infertility, in vitro fertilization, control Prerequisites: High school biology and chemistry. of male and female fertility, pregnancy and paternity BIOS 161L, 162L, AND CHEM 113–114 OR 201–202. General Biology A and B testing, gene therapy, the effects of legal and illegal 117–118 are to be taken concurrently. BIOS 161, (3-0-3) (3-0-3) Tenniswood, Hellenthal, Filchak drug use on reproductive function and embryonic/ 161L are the prerequisites for BIOS 162, 162L. Re- Prerequisite: CHEM 114 or 118 or 126. fetal development, and the impact of current health stricted to biology and biochemistry intents/majors. Introduction to living organisms with emphasis on care policy and practice on infant and prenatal Note: BIOS 161–162 is the replacement for BIOS biological processes and principles. health. Fall. On demand. 155–162. BIOS 201 and 202, along with their concomitant This is a two-semester course with three lectures laboratories (BIOS 201L and 202L) constitute a tra- 110. Genetics, Technology, and Society and one three-hour laboratory a week for first-year (3-0-3) Whaley ditional two-semester introduction to biology. This students contemplating a career in biology, medicine sequence covers more topics, but in less depth, than The objectives of this course are to give students an or related areas of life science. overview of human genetics and an appreciation BIOS 161 and 162 and is designed to provide stu- The first semester presents a description of bio- dents with the necessary background for subsequent for the relatively new field of molecular biology logically important molecules and then proceeds to that is currently being used to study human genetic advanced biology courses and to help them prepare cell structure, energy metabolism and classical and for MCATS. A prerequisite is a full year of college diseases. Genetic technologies such as cloning and modern genetics. The topics presented in the second manipulating genes, genetic biotechnology, gene chemistry. In addition, organic chemistry is to be taken semester in the context of modern evolutionary concurrently. BIOS 201 introduces biology to the therapy, DNA testing and so forth will be empha- theory include biological diversity, ecology and or- sized. The ethical, social and legal implications of student at the cellular level, covering such topics as ganismal physiology. important biological molecules, energy metabolism, these technologies will also be covered. In addition, BIOS 161 and 162 are not typical survey courses; this course will address the role of genetics in human and classical and modern genetics. BIOS 202 goes they go into greater depth, especially in modern beyond the cellular level, with an emphasis on organ- cancer, behavior, obesity, intelligence and sexual ori- molecular biology. When followed by BIOS 241 and entation. Summer. ismic physiology, evolution, diversity and ecology. BIOS 250 they will provide biology and biochem- Note: CHEM 114 or 118 or 126 must be com- istry majors, including pre medical intents, with a pleted before taking BIOS 201. BIOS 201, 201L and thorough in-depth overview of basic concepts of 202, 202L may be substituted for 161–162; however, modern biology. this sequence is quite different from 161–162 in content and does not provide the depth afforded by 161–162 nor does 201-202 provide the equivalent laboratory experience essential to biology majors intent on taking BIOS 241 and 250. 315

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201L–202L. General Biology Laboratory 250. Classical and Molecular Genetics 294. Neotropical Natural History (0-3-1) (0-3-1) Lewis (3-0-3) Hyde (V-V-3) Hamlett Students registering for 201-202 must concurrently Prerequisite: BIOS 161. Prerequisites: Permission of the instructor and BIOS register for 201L–202L respectively. Prerequisite or Corequisite: CHEM 247 and 247L. 162 or 202 with labs. This course is restricted to biological science and bio- This course will be a summer offering for three 241. Molecular Cell Biology chemistry majors only. The course exposes students credit hours; science majors may take it only as a free (3-0-3) Staff to classical and molecular genetics and demonstrates general elective. Topics will be presented as lectures, Prerequisites: BIOS 161, 250, 250L. how these two approaches can combine to examine videotapes, slide programs and reading assignments. Prerequisites or Corequisites: BIOS 241L and CHEM complex problems. The lecture is strongly weighted There will be a written examination after the first 248 and 248L. toward teaching students to solve genetic and molec- two weeks, prior to the field laboratory portion of This course is restricted to biological science and ular biological problems. Classical genetic principles the course. The next two weeks of the course will be biochemistry majors only. This course explores the are introduced first. Students are then presented with held in the field in Belize and Guatemala. A daily fundamental structural and functional basis of cell the techniques to examine underlying genetic prin- journal will be kept by each student. A series of four biology, with specific emphasis on molecular mecha- ciples through problem solving. Basic principles and to five question sets based on different portions of nisms that regulate cellular activities involved in ion techniques of molecular biology are next presented, the trip will be turned in and graded. Following and solute transport, organelle biogenesis, protein and students learn how to apply these techniques to the field portion of the course, there will be post- trafficking and vesicular transport, intracellular com- explore genetic problems. The laboratory gives the field-trip lectures and discussion on campus. In munication and signalling, cell cycle growth control students hands-on experience in a number of genetic consultation with the course instructor, each student regulation, and cytomechanics. The lecture portion and molecular techniques and demonstrates how will prepare a research paper and be given a final of the course is dedicated to exposing students to these procedures are combined to produce a cohesive examination on field material and text assignments. the protein machinery driving cell functions, while genetic picture. Experiments begin with classical Students will pay tuition as well as additional costs the laboratory complements lecture by providing a genetic analysis of a mutation, progress to isolating sufficient to cover their expenses while in Central combination of experiments and opportunities for the mutant gene by PCR and standard cloning tech- America. The course will provide a broad coverage of independent project-based investigation focused on niques, followed by DNA sequencing the genomic the biology of the flora and fauna of Central America elucidating basic cell function. Spring. fragments to determine the nature of the genetic and an introduction to efforts being made to pre- defect. Immunolocalization of the protein in mutant serve and manage the natural resources of this area. 241L. Molecular Cell Biology Laboratory and wild-type flies brings the molecular work back The students will have an opportunity to experience (0-3-1) Whaley to the organism, providing a full-circle study of the the habitats and see the plants and animals firsthand. Prerequisite or Corequisite: BIOS 241. BCHM majors genetic mutation under study. At the end of the lab, We will visit selected nature preserves, virgin rain only students are ready for the independent study projects forest, tropical savannas and the second largest coral This cell biology laboratory exposes students to a conducted in the laboratory for BIOS 241, Molecu- reef in the world. Topics covered will include tropical variety of techniques in modern cell biology. It is lar Cell Biology. Fall. ecosystems, rain forests and how they function, trop- designed expressly for BCHM majors; the laboratory ical plants, rain forest fauna, and tropical savannas, techniques are not as extensive as the BIOS 241R 250L. Classical and Molecular Genetics Laboratory as well as Mayan civilization, history and how they two credit laboratory for BIOS majors, since BCHM (0-3-1) Whaley utilized and sustained their natural habitat; Maya to- majors gain similar experience in one of their re- Corequisite: BIOS 250. day in relation to resource management; coastal eco- quired laboratory courses. Spring. In this laboratory course, students will characterize systems of mangroves, seagrass and coral reef; marine mutations that cause retinal degeneration in the fauna and flora; neotropical resource management; 241R. Research Experience in Cell Biology fruit fly, Drosphila melanogaster, in a series of related and ecotourism. Summer (irregular offering). (0-4-2) Whaley experiments comprising a semester-long study. The Prerequisite or Corequisite: BIOS 241. BIOS majors labs will be broken into two major sections, start- 303. Fundamentals of Genetics only. ing with the genetic characterization of a mutation, (3-0-3) Besansky/Severson This cell biology laboratory is an investigative, followed by the molecular characterization of the Prerequisite: BIOS 161 or 201. project-based laboratory designed to expose students altered gene causing that mutation. This directed An elementary course dealing with the principles of to a bona fide research experience involving the de- research project will be presented in two drafts of variation and inheritance in plants and animals, with velopment and application of critical thinking skills a complex research paper. Some work outside the special reference to humans. Designed primarily for to solve complex research problems. Working in three-hour lab period will be required. Fall. junior preprofessional students. Spring. groups of four to six, students will devote themselves to tackling self-chosen research projects reviewed and 303L. Genetics Laboratory approved by course instructors. The culmination of (0-3-1) Besansky/Severson the laboratory experience ends when students for- Prerequisite or Corequisite: BIOS 303. mally prepare and present their findings in a poster- Laboratory provides experience in genetic experi- style scientific meeting. Spring. mentation and analysis. Required for biology majors, optional for others. Spring.

304. General Botany (3-3-4) Staff Prerequisite: BIOS 162 or 202. A broad survey of the plant kingdom, emphasizing morphology and anatomy, with attention given to major plant functions of growth and development in chiefly angiospermous (= “higher”) plants. Laboratory instruction includes a semester project involving photomicrography or seed germination and cloning. 316

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305. Evolution 341L. Cell Biology Laboratory 401L. Principles of Microbiology Lab (3-0-3) Hollocher (0-3-1) Welsh (0-3-1) Kulpa Prerequisite: BIOS 162 or 202. Prerequisite or corequsite: BIOS 241 or 341. Prerequisite or Corequisite: BIOS 401. The mechanisms and processes involved in the This laboratory course exposes students to a variety Laboratory exercises consider basic techniques in mi- production of life as we know it today, as well as a of techniques in modern cell biology. Students will crobiology, such as sterile procedures and microbial discussion on the impact current events may have get hands-on experience in working with cultured metabolism. Fall. upon life in the future. Spring. cell lines, including sterile technique, media prepa- ration and passaging of cells. Individual experiments 404. Vertebrate Biology 310. The History of Life will include assessment of cell growth and apoptosis, (3-0-3) Johnson (3-0-3) Feder examination of subcellular structure using fluores- Prerequisite: BIOS 162 or 202. Prerequisites: BIOS 162 or 202. cent microscopy, separation and analysis of nucleic A study of systematic relationships, evolution and This course explores the origin, history, and system- acids and proteins, enzyme assays and measurement life histories of living and extinct vertebrates, and the atics of life on Earth, starting from hypotheses exam- of cell cycle by flow cytometry. It provides an excel- physiology and behavior of living vertebrates. Fall. ining life’s origin(s) and including current thinking lent introduction to the approaches routinely used in concerning the systematic relationships of organisms analysis of cells and their functions. Fall. 406. General Entomology and the evolution of humans. The class will be (3-0-3) Collins taught primarily from a macroevolutionary perspec- 342. Developmental Biology Prerequisite: BIOS 162 or 202. tive. BIOS 310 therefore represents the complement (3-0-3) Staff A study of the morphology, life histories and sys- to BIOS 305 (Evolution), which concentrates on Prerequisite: BIOS 162 or 202. tematic relationships of insects, with emphasis on processes generating gene frequency changes within Development of plants, animals and microorganisms medical and agricultural aspects. Alternating fall populations (i.e., microevolution). Fall. studied at the molecular, cellular and organismic semesters. levels. Spring. 312. General Ecology 406L. General Entomology Laboratory (3-3-4) Staff 342L. Developmental Biology Laboratory (0-3-1) Collins Prerequisite: BIOS 162 or 202. (0-3-1) Staff Prerequisite or Corequisite: BIOS 406. The study of populations and communities of organ- Prerequisite or Corequisite: BIOS 342. The laboratory introduces students to insect mor- isms and their interrelations with the environment. Laboratory exercises will examines the basic devel- phology, systematics and techniques used in the Fall and spring. opmental mechanisms of animals and plants. On study of insects. Offered concurrently with lecture. demand. 325. Plant Science Note: Students may not take both BIOS 342 and 407. Animal Behavior (3-0-3) Romero-Severson 414 because the lecture materials are very similar in (3-0-3) Esch Prerequisites: BIOS 250 or 303 and BIOS 241 or these two developmental biology courses. Prerequisite: BIOS 162 or 202. 341 A consideration of individual and social behavior This course will provide an introduction to plant 344. Vertebrate Physiology patterns, with emphasis on organization and adap- biology, biochemistry and ecology. Specific topics (3-0-3) Boyd tive significance. Neural, endocrine, genetic and include plant development, photosynthesis, nitrogen Prerequisite: BIOS 162 or 202. environmental factors modifying behavior will be fixation, grassland and forest ecology, plant domesti- Physiological functions and processes at the level of examined. Spring. cation and the ecological impact of plant domestica- organs and organ systems, oriented primarily toward tion. The course will emphasize the unique aspects humans. Designed primarily for junior preprofessional 408. Arthropods and Human Disease of plant biology and illustrate how plants sustain life students. Fall. (3-0-3) Collins on earth. Fall. Prerequisite: BIOS 162 or 202. 344L. Vertebrate (Human) Physiology Laboratory Emphasis on physiology, genetics and relationships 338. Neurobiology (0-3-1) Boyd of arthropods as agents and vectors of disease. Alter- (3-0-3) Li Prerequisite or Corequisite: BIOS 344. nating spring semesters. Prerequisites: BIOS 241 or BIOS 341 and BIOS 250 Laboratory experience in physiology. Ideally, this or 303 laboratory is taken after students have completed the 408L. Medical and Veterninary Entomology Labora- tory An introductory course emphasizing how the central BIOS 344 lecture. Fall. nervous system controls our actions and behaviors. (0-3-1) Collins The material will cover topics ranging from single 401. Principles of Microbiology Prerequisite or Corequisite: BIOS 408. nerve cell function to neural circuitry. Students (3-0-3) Kulpa The laboratory introduces students to the variety of who are interested in pursuing either medical or life Prerequisites: BIOS 162 or 202 and CHEM 224 or arthropods that vector disease agents or otherwise science related graduate or professional degrees are 248. affect the lives of humans and other vertebrate ani- particularly encouraged to take this course. Fall. An introduction to microbial life, including struc- mals. Offered concurrently with lecture. ture and function of bacteria. Characterization and 411. Biostatistics 341. Cellular Biology classification of microorganisms are considered and (3-0-3) Staff include their ecology, growth and death, metabolism, (3-1-4) Lamberti Prerequisites: BIOS 161 or 201; CHEM 223 or 247. physiology, genetics and antigenic analysis. The im- Prerequisites: BIOS 162 or 202; MATH 120, 126, Designed primarily for junior preprofessional students. pact of microorganisms on human health is discussed 166 or 196. Structural and functional aspects of the biology of through representative pathogenic bacteria. Fall. Basic principles of statistical analysis and their appli- cells are addressed. Fall and spring. cation to biological problems, including statistical inference, analysis of variance, regression, non-para- metric approaches, and introduction to statistical computing. This course’s “lab” is a tutorial; it does not fulfill the laboratory elective requirement. Stu- dents may not take both BIOS 411 and MATH 214. Spring. 317

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414. Experimental Animal Development 419. Immunology 426. Fundamentals of Human Genetics (3-3-4) Staff (3-0-3) McDowell (3-0-3) Bender Prerequisites: BIOS 241 or 341 and BIOS 250 or Prerequisite: BIOS 250 or 303; BIOS 241 or 341. Prerequisite: BIOS 250 or 303. 303. An introductory course emphasizing the cells and tis- Survey of methods utilized in human genetics stud- Experimental approaches to the study of devel- sues of the immune system and the nature and func- ies as applied to medical, physiological and social opment. Emphasis is placed on molecular and tion of antigens and antibodies. A survey is presented problems. Spring. genetic analyses of model systems: invertebrate, of immune capabilities of humans and animals, im- amphibian, avian and mammalian. Concurrent en- mune diseases, immunodeficiency states, transplanta- 427. Epidemiology rollment in the laboratory (BIOS 414L) is required. tion of organs and the influence of nutrition on the (3-0-3) Grimstad Since. laboratory and lecture material are integrated immune system. Fall. Prerequisite: BIOS 162 or 202. throughout the semester, laboratory may not be A consideration of the natural history or ecology of taken separately from lecture. NOTE: Students may 420. Aquatic Ecology diseases as they occur in humans and animals. This not take both BIOS 342 and 414 because the lecture (3-3-4) Hellenthal course is designed for upperclass students entering materials are very similar in these two developmental Prerequisites: BIOS 162 or 202. health-related fields. On demand. biology courses. On demand. A study of the structure and function of aquatic systems with emphasis on the behavioral, physio- 435. Cellular and Molecular Basis of Human Disease 415. Medical and Veterinary Parasitology logical and morphological adaptations generated by (3-0-3) Schorey (3-3-4) Adams the physical and chemical characteristics of various Prerequisites: BIOS 241 or 341; BIOS 250 or 303 Prerequisite: BIOS 162 or 202. aquatic habitats. Fall. This course will explore the cellular and molecular The animal parasites of humans and related hosts are mechanisms underlying various human diseases. reviewed. The pathology caused by these parasites, 421. Integrative Comparative Physiology Following an introduction to principles of disease, epidemiology, life cycles, prophylactic and thera- (4-0-4) Johnson, Duman lectures will focus on recent advances in cellular and peutic control are considered. Spring. Prerequisite: BIOS 241. molecular aspects of immune responses and inflam- Designed primarily for students in the biology or mation, pathogenic mechanisms and tumor cell biol- 415L. Medical and Veterinary Parasitology Labora- biochemistry majors sequences. This course is de- ogy (including abnormal growth regulation, invasion tory signed to be taken either as an introductory animal and metastasis). Specific examples of human diseases (0-3-1) Adams physiology course for students without formal train- will be utilized to illustrate the concepts of disease- The laboratory introduces students to the micro- ing in physiology beyond general biology or as a sec- related gene products, the use of experimental animal scopic world of parasites. Extensive microscope work ond physiology course for students who have already models and the development of novel therapeutic is needed. On demand. taken BIOS 344. General physiological principles strategies. Spring. are introduced, and the course is designed around 416. Virology the classical organ/system approach to physiology 440. AIDS (3-0-3) Fraser but with stress on comparative and evolutionary (3-0-3) Fraser Prerequisites: BIOS 162 or 202; and 241 or 341 and relationships. Emphasis is placed on the integrated Prerequisites: BIOS 250 or 303 and 241 or 341, 250 or 303. nature of the various physiological systems and on including labs; BIOS 401 or the equivalent is also A study of viruses as primitive biological entities and the relationships of the physiology of the organism highly recommended. as disease-inducing agents in humans and other an- to its environment (physiological ecology) as well as This course will explore the phenomenon of AIDS, imals: characteristics of viruses and virus infections; to the lower levels of biological hierarchy (biochem- including characteristics of the worldwide AIDS molecular aspects of virus replication; methods for istry, cell and molecular biology). Special emphasis pandemic, the virus (HIV) itself, the immune system diagnosis and prevention of infections; artificial use is placed on adaptations to environmental extremes. and HIV, methods of diagnosis, prevention, treat- of viruses. Spring. This course has four lectures per week. Spring. ment and basic epidemiology as it relates to AIDS. This is an advanced course in infectious diseases 417. Human Musculoskeletal Anatomy 421L. Integrative Comparative Physiology designed for preprofessional and other interested (3-0-3) O’Malley Laboratory students. Fall. Prerequisite: BIOS 161 or 202. (0-3-1) Johnson, Duman An introduction to basic anatomical principles Prerequisite or Corequisite: BIOS 421. 475. Laboratory Animal Science relating to bones and muscles and to the normal Laboratory provides experience with experi- (2-0-2) Grimstad, Stewart anatomical and biochemical aspects of the human mentation and analysis of physiological concepts at Prerequisites or Corequisites: BIOS 162 or 202 and musculoskeletal system. Fall. the organismal, cellular and molecular levels. Spring. consent of instructor. An introduction to laboratory animal science, fo- 418. Molecular Genetics 423. Genomics: Sequence to Organism cusing on federally mandated regulations, animal (3-0-3) Adams (3-0-3) Ferdig rights/animal welfare controversies, general care Prerequisites: BIOS 250 or 303 (genetics); a course in This course will introduce the methods of genome and use of animals in a full-compliance program, biochemistry would be useful. science and explore their applications in biological and common methodologies used in animal-based The course will introduce the tools of modern mo- research and their impact on biological thinking. research. Enrollment is by consent of instructor only lecular biology and explore their applications at the Topics will include how genomes are studied, how and limited to junior or senior undergraduate prevet- frontiers of biological research. Advanced topics may they function, and how they evolve. The impor- erinary students, or biology majors whose graduate include molecular medicine, biotechnology, devel- tance of comparative and functional genomics in career program will require animal use, or graduate opment, evolution and neurobiology. Fall. identifying mechanisms of human diseases will be students whose research requires animal use at Notre highlighted. Spring. Dame. Spring. 318

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475L. Laboratory Animal Science Laboratory 102. Plants, Food, and Society 501. Advanced Molecular Genetics (0-6-2) Stewart, Grimstad 105. Parasitism, Disease, and Public Health 502. Genetics of Lower Eukaryotes Prerequisites: BIOS 475 and consent of instructor. 111. Biological Basis of Human Behavior 503. Advanced Microbial Physiology This course focuses on experimental techniques 112. The Marine Environment 504. Developmental Genetics 113. Understanding Virtues 506. Cytogenetics and methodologies in both laboratory and clinical 114. Avian Biology 508. Population Genetics settings. Students will divide their laboratory time 115. Microbes and Man 509. Plant Anatomy between hands-on work in the animal facility and 402. Microbial Physiology 510. Experimental Parasitology clinical experience in area veterinary clinics when 403. Invertebrate Biology 511. Protozoology possible. Enrollment is by consent of instructor only 409. Plant Taxonomy 512. Helminthology and limited to senior undergraduate prevet- erinary 413. Cytology 514. Field Parasitology students, or senior biology majors whose graduate 422. Marine Biology 515. Vector Genetics research program will require animal use at Notre 424. Tumor Cell Biology 516. Physiological Chemistry of Animal Parasites Dame. Every student will be required to keep a 430. Advanced Animal Physiology 517. Biological Microtechnique 455. Infection and Immunity 518. Cell Variation and Growth complete notebook and develop a semester journal 460. Plant Ecology 520. Arbovirology project or case study. Fall. 462. Applied Environmental Microbiology 523. Practicum in Environmental Biology 463. Aquatic Botany 524. Ichthyology 495. Teaching Practicum in Life Sciences 464. Antibiotics and Chemotherapeutics 525. Community Ecology (0-4-2) Staff 526. Invertebrate Pathology Prerequisite: Premission of instructor. UNDERC Field Biology Program. 527. Stream Ecology This course gives the advanced student an oppor- A special seven-credit program primarily for un- 528. Environmental Microbiology 529. Theoretical Population Ecology tunity to gain direct experience in teaching. Students dergraduate students involving three semesters that 530. Immunobiology of Infectious Diseases are assigned regular teaching duties in certain labo- emphasizes field biology is offered at the University’s ratory courses and must be prepared to accept re- 531. Molecular Biology I Environmental Research Center. Undergraduate 532. Molecular Biology II sponsibility. Note: Most states will not accept this in students must apply to the program; only a limited 533. Proteins and Nucleic Acids lieu of practice teaching in an education department. number may be selected each year because of limited 534. Plant Physiology Students must clear lab assignments with Kristin Lewis availability of space on site. On selection in late 535. Comparative Endocrinology or other practicum coordinator. Fall and spring. fall, students enroll in BIOS 598 for one credit and 536. Advanced Virology BIOS 569 for six credits. The summer’s project is 537. Microbial Genetics 497. Directed Readings completed in the subsequent fall semester. 538. Neurobiology (V-V-V) Staff 539. Advanced Cell Biology I Prerequisite: Permission of instructor. Required courses: 540. Advanced Cell Biology II This course provides the opportunity for inde- 541. Physical Chemistry for Biologists 543. Ethics and Science pendent study through readings on specific topics 568. Introduction to UNDERC (1-0–1) Belovsky 554. Biological Research Applications of Computers in biological science. Readings are chosen with the 556. Histology A seminar course preparing students for the BIOS advice of the supervising instructor. Students may not 558. Biological Electron Microscopy register for more than three credits per semester; only 569 UNDERC experience. Spring. 560. Environmental Physiology and two credits per semester may be counted as BIOS elec- Biochemistry tive credits by majors. Offered all semesters. 569. Practicum in Aquatic Biology 561. Advanced Aquatic Ecology (V-V-6) Belovsky 562. Aquatic Insects 498. Undergraduate Research Practical training in aquatic and environmental 563. Wetland Ecology (V-V-V) Staff biology is emphasized through lecture and field 564. Behavioral Ecology Prerequisite: Permission of instructor. experience at the University’s environmental research 565. Nutrition 570–579. Topics Courses Research in collaboration with members of the fac- facility, located in the Upper Peninsula of Michigan. ulty. Evaluation of performance will be accomplished Course includes an independent research project. through regular discussions with the faculty member Additional undergraduate and graduate-level courses are expected to be added during the next four years. in charge of the course. Enrollment must be com- SELECT GRADUATE-LEVEL COURSES pleted before the end of the first week each semester. The above 500-level courses are described in the 500-level courses in biological sciences are open Students may not register for more than three credits per to qualified undergraduates, subject to the ap- Graduate School Bulletin of Information. semester; only two credits per semester may be counted as proval of the course instructors and the director of BIOS elective credits by majors. Offered all semesters. undergraduate studies. Graduate-level courses that The following undergraduate courses have been of- generally include a majority of upperclass students fered periodically as demand dictates: and that are recommended to undergraduate majors include: 319

CHEMISTRY AND BIOCHEMISTRY

SUMMARY OF MINIMAL REQUIREMENTS FOR THE DEGREE OF BACHELOR OF Program of Studies. Chemistry is the science of SCIENCE IN CHEMISTRY AND BIOCHEMISTRY substances that comprise the world about us and is concerned with their structure, their properties and Chemistry Chemistry the reactions that change them into other substances. Career Combination Biochemistry Chemists and biochemists practice their profession Program Program Program in many ways—in educational institutions, gov- ernment laboratories, private research institutions Chemistry 45 45 31 and foundations and in many commercial areas, including the petroleum, chemical, drug, health, bio- Biochemistry 3 3 8 technology, pharmaceutical and food industries. The Department of Chemistry and Biochemistry Biological Sciences — — 19 has a strong undergraduate program together with a strong graduate education and research program. Mathematics 11.5 11.5 11.5 This graduate program greatly benefits under- graduate education by attracting highly qualified Physics 11.5 11.5 8 faculty and results in the availability of excellent research facilities and modern instrumentation Science Electives 6 3 0 necessary to train the scientists of tomorrow. This department is able to provide an excellent program Total Required Science 77 74 77.5 of undergraduate research to complement regular course work. Student participation in research is Program Electives — 15 — highly encouraged as a key part of the education of chemistry and biochemistry majors. Total 77 89 77.5 The programs in chemistry and biochemistry described in the following pages prepare students for Language Intermediate Level Competency graduate studies and professional work in the chem- ical and biochemical sciences, as well as in interdisc- FYC 110 3 3 3 iplinary areas that rely heavily on chemistry. Bachelor of science degrees are offered with a major in chemis- Philosophy+ 6 6 6 try or a major in biochemistry. At the graduate level, the Department of Chemistry and Biochemistry Theology+ 6 6 6 offers programs leading to the degrees of master of science and doctor of philosophy, as described in the + Literature/Fine Arts 3 3 3 Graduate School Bulletin of Information.

+ History 3 3 3 BACHELOR OF SCIENCE WITH A MAJOR IN CHEMISTRY Social Sciences+ 3 3 3 The chemistry curriculum at Notre Dame includes two programs: the Chemistry Career Program, Chemistry Professsors: designed for students interested in a professional Subhash C. Basu; Roger K. Bretthauer career in chemistry, and the Chemistry Combination and Biochemistry (emeritus); Richard W. Fessenden (emeritus); Program, designed for those students who are inter- Jeremiah P. Freeman (emeritus); ested in combining chemistry with business or with Chair: Robert G. Hayes (emeritus); Paul Helquist; Marvin J. Miller computing. Emil T. Hofman (emeritus); Paul W. Huber; All chemistry majors take the following basic George and Winifred Clark Professor of Chemistry: Dennis C. Jacobs; A. Graham Lappin; sequence of courses: Marvin J. Miller John Magee (emeritus); Joseph P. Marino; Grace-Rupley Professor of Chemistry: Dan Meisel; Thomas L. Nowak; General Chemistry (CHEM 125–126 recom- Thomas P. Fehlner Robert H. Schuler (emeritus); mended; or optionally, CHEM 113–114 or Charles L. Huisking Professor of Chemistry: Anthony Serianni; Slavi Sevov; 117–118) Xavier Creary Bradley D. Smith; J. Kerry Thomas (emeritus); Organic Chemistry (CHEM 235, 235L, 236, 236L) Kleiderer/Pezold Professor of Biochemistry Anthony M. Trozzolo (emeritus) Inorganic Chemistry (CHEM 243, CHEM 443, Francis J. Castellino Associate Professors: 443L) Navari Family Professor of Life Sciences: Seth Brown; Gregory V. Hartland; Physical Chemistry (CHEM 321, 321L, 322, 322L) Shahriar Mobashery Kenneth W. Henderson; Marya Lieberman; Analytical Chemistry (CHEM 333, 333L) William K. Warren Professor of Chemistry: Maurice E. Schwartz (emeritus); Physical Methods of Chemistry (CHEM 434) W. Robert Scheidt Richard E. Taylor; Rev. Joseph L. Walter, Principles of Biochemistry (CHEM 420) Clare Boothe Luce Assistant Professor of Biochemistry: C.S.C.; Olaf G. Wiest Chemistry Seminars (CHEM 201, 202), three Patricia L. Clark Assistant Professors: semesters 1 Brian M. Baker; Eli J. Barkai; Jennifer DuBois; Physics (PHYS 131, 132, 231) J. Daniel Gezelter; Holly V. Goodson; Calculus (MATH 125, 126 and 225) S. Alexander Kandel; Masaru Kenneth Kuno; In addition to this basic sequence, the following Jeffrey W. Peng courses are required for each program. 320

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Chemistry Career Program Second Semester Sophomore Year Science Electives (six credit hours)2,3 CHEM 236 3 First Semester CHEM 236L 2 CHEM 235 3 Combination Program CHEM 243 3 CHEM 235L 1 Program Electives (15 credit hours) CHEM 2026 1 MATH 225 3.5 Science Electives (three credit hours)2,3 Language 3 PHYS 231 3.5 The program electives for the Chemistry Combi- Theology5 3 Language 3 nation Program are from either the area of business ——— ——— or from the area of computing and are the same 15 14 as those in the corresponding Collegiate Sequence Junior Year Second Semester programs: First Semester CHEM 236 3 CHEM 321 3 CHEM 236L 2 Chemistry with Business CHEM 321L 2 CHEM 243 3 Accounting and Accountancy I (ACCT 231) CHEM 333 3 CHEM 2026 1 Accounting and Accountancy II (ACCT 232) CHEM 333L 2 Language 3 Business Finance (FIN 231) CHEM 2016 1 Theology5 3 Introduction to Management (MGT 231) Elective (or Language) 3 ——— Introduction to Marketing (MARK 231) Theology 3 15 Introduction to Economics (ECON 101 or 201) ——— Junior Year is suggested, as a non-program elective, as a 17 First Semester prerequisite to MARK 231 and meets the Second Semester CHEM 321 3 University social science requirement. CHEM 322 3 CHEM 321L 2 Chemistry with Computing CHEM 322L 2 CHEM 333 3 Advanced Programming (CSE 232) CHEM 434 3 CHEM 333L 2 Discrete Mathematics (CSE 210) Philosophy 3 Elective (or Language) 3 7 Data Structures (CSE 331) Elective 3 Program elective 3 and ——— ——— Functional Programming (CSE 233) and Database 14 16 Concepts (CSE 346) Senior Year Second Semester or Automata (CSE 411) and Algorithms (CSE 413) First Semester CHEM 2026 1 or Automata (CSE 411) and Compilers (CSE 443) CHEM 420 3 CHEM 322 3 CHEM 443 3 CHEM 322L 2 Sample Curriculum (Career Program): CHEM 443L 2 CHEM 434 3 First Year Electives 6 Theology 3 First Semester Fine Arts or Literature 3 Program Elective7 3 CHEM 125 4 ——— ——— MATH 125 4 17 15 PHYS 131 4 Second Semester Senior Year FYC 110 3 CHEM 2025 1 First Semester History4 3 Science Electives2,3 6 CHEM 420 3 Physical Education/ROTC 0 Electives 6 CHEM 443 3 ——— ——— CHEM 443L 2 18 13 Program Electives7 6 Second Semester Sample Curriculum (Combination Program): Elective 3 CHEM 126 4 First Year ——— MATH 126 4 First Semester 17 PHYS 132 4 CHEM 125 4 Second Semester Philosophy4,5 3 MATH 125 4 CHEM 2025 1 Social Science4 3 PHYS 131 4 Science Elective2,3 3 Physical Education/ROTC 0 FYC 110 3 Program Elective7 3 ——— History4 3 Fine Arts or Literature 3 18 Physical Education/ROTC 0 Philosophy 3 Sophomore Year ——— ——— First Semester 18 13 CHEM 235 3 Second Semester Notes: CHEM 235L 1 CHEM 126 4 1. Substitution with permission only. MATH 225 3.5 MATH 126 4 2. Linear Algebra/Differential Equations (MATH PHYS 231 3.5 PHYS 132 4 228) is a recommended science elective. Language 3 Philosophy4,5 3 3. Undergraduate research, CHEM 498R, is a ——— Social Science4 3 recommended science elective in all programs 14 Physical Education/ROTC0 beginning in the sophomore year with typically ——— one or two credits per semester. 18 321

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4. The student should take three general require - Sophomore Year Chemistry Survey Courses (101–104) ment courses during the first year, including one First Semester These courses each satisfy one semester of the Uni- course that is designated a University Seminar CHEM 247 4 versity science requirement and are designed for stu- 180. Economics is required for the Chemistry CHEM 247L 1 dents planning programs in areas other than science with Business program. CHEM 212 0 and engineering. CHEM 101, 103 and 104 assume 5. One course in theology and philosophy should PHYS 221 4 no previous knowledge of chemistry. be completed by the end of the sophomore year. MATH 225 3.5 These courses may be taken in either semester of Language 3 101. Foundations of Chemistry the first or second year. ——— (3-0-3) 6. In all the programs, one chemistry seminar is 15.5 This course covers forms, properties and separation generally taken in each of the sophomore, junior Second Semester of matter, atomic structure and periodicity, nuclear and senior years. CHEM 248 4 chemistry, chemical bonding and structure, reactivity 7. Note: Program electives in computing require CHEM 248L 1 with applications to acid-base and oxidation-re- careful scheduling, and some sequences may re- CHEM 2026 1 duction reactions, chemistry of carbon and living quire more than two years to complete. PHYS 222 4 systems. This course is not open to students who Language 3 have taken CHEM 103, 113, 115 or 117. Theology5 3 BACHELOR OF SCIENCE WITH A 102. Chemistry, Environment, and Energy MAJOR IN BIOCHEMISTRY ——— 16 (3-0-3) The biochemistry curriculum emphasizes the chem- Junior Year Prerequisite: CHEM 101 or permission of the ical basis of biological processes. All biochemistry First Semester instructor. majors are required to take the following courses: CHEM 321 3 Chemistry of the atmosphere, hydrosphere and lith- General Chemistry (CHEM 125–126 recom- CHEM 341 3 osphere, agricultural chemistry and pesticides, food mended; or optionally CHEM 113–114 CHEM 341L 2 and drugs, hazardous and solid wastes, recycling. or 117–118) CHEM 2016 1 Fossil fuels; nuclear, solar, geothermal and other Organic Chemistry (CHEM 247, 247L, 248, BIOS 341, BIOS 341L 4 types of energy. This course is not open to students 248L; 236L may be substituted for 248L)1 Elective (or Language) 3 who have taken CHEM 114, 116 or 118. ——— Physical Chemistry (CHEM 321-322) 103. Chemistry in Society Analytical Chemistry (CHEM 333, 333L) 16 (3-0-3) Second Semester Chemistry Seminars (CHEM 201, 202), three This course introduces students to the chemical CHEM 322 3 semesters component of various interests and concerns of CHEM 342 3 Biochemistry Seminar (CHEM 212) our society. In the context of this introduction, it BIOS 303, BIOS 303L 4 Biochemistry (CHEM 341, 341L, 342) acquaints students with some of the basic conceptual Philosophy 3 Calculus (MATH 125, 126, 225) tools that chemists use, such as ideas of bonding in 8 Elective 3 Physics (PHYS 221-222) chemical compounds, the chemical view of acids ——— General Biology (BIOS 161–162 or 201, and bases, and calculation of the amount of material 16 201L, 202, 202L) consumed or produced in a chemical reaction. The Senior Year Genetics (BIOS 303, 303L) ozone layer, global warming, solar energy, plastics Cell Biology (BIOS 341, 341L) First Semester and nutrition are among the topics to be covered. Molecular Biology (BIOS/CHEM 531) CHEM 333 2 This course is not open to science majors and stu- CHEM 333L 2 dents who have taken CHEM 101, 102, 113, 115, Sample Curriculum (Biochemistry Program): BIOS/CHEM 531 3 or 117. Theology 3 First Year Elective 3 104. Light: Principles and Applications First Semester ——— (3-0-3) CHEM 125 4 13 The course is designed to provide the student with MATH 125 4 Second Semester an understanding of the nature of light, its inter- 5 BIOS 1559 4 CHEM 202 1 action with matter and the consequences of this FYC 110 3 Fine Arts or Literature 3 interaction in everyday phenomena as well as in the History4 3 Electives 8 newer technologies such as lasers, photodynamic Physical Education/ROTC 0 ——— therapy, photo-imaging and photolithography, ho- ——— 12 lography, and solar energy storage. Discussions of 18 Notes (a continuation from above): everyday phenomena would include photosynthesis, Second Semester 8. For alternative physics, take PHYS 131, 132. color and dyes, polarized light, photochemical smog CHEM 126 4 9. BIOS 201, 201L, 202, and 202L are alternative and the ozone layer, optical activity and structure, MATH 126 4 choices for the sophomore year. vision, and photochromism. Necessary concepts of BIOS 1629 4 chemistry, physics and biology will be provided. This Philosophy4,5 3 Chemistry and Biochemistry Course Descriptions. course is not open to science and engineering majors. Social Science4 3 The following course descriptions give the number Physical Education/ROTC 0 and title of each course. Lecture hours per week, ——— laboratory and/or tutorial hours per week and credits 18 each semester are in parentheses. 322

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113–114. General Chemistry I-T and II-T 115–116. General Chemistry I and II Lecture 119L–120L. General Chemistry Laboratory Lecture, Tutorial, and Laboratory (3-0-3) (3-0-3) (0-3-1) (0-3-1) (3-4-4) (3-4-4) Prerequisites: High school chemistry and physics, A laboratory identical to that presented in conjunc- Prerequisites: High school chemistry and physics, three-and-one-half units of mathematics. tion with CHEM 117–118. Designed for students three-and-one-half units of high school mathematics. Designed for first-year students intending to major needing laboratory but having previously taken Introduction to the principles and concepts of in science and engineering. This lecture course cov- CHEM 115–116. chemistry and its application in the world. Topics ers classical/modern chemistry, with applications, in include periodic properties of the elements, reaction the approximate order: stoichiometry and classical 121–122. General Chemistry: Fundamental Prin- stoichiometry, atomic theory, molecular structure atomic theory of chemistry; periodic properties; gas ciples and Biological Processes and bonding, acids and bases, reduction- oxidation laws; chemical equilibrium; solution chemistry (acids (3-3-4) (3-0-3) reactions, gas-laws, thermochemistry, equilibrium, and bases, solubility, physical properties of solution); Prerequisites: High school chemistry and physics, and chemical kinetics. Lectures, demonstrations, thermochemistry; chemical kinetics; modern quan- three-and-one-half units of mathematics. laboratory experiments and tutorial sections are tum theory of atomic and molecular structure and Designed for first-year students intending to major integrated to promote a deeper understanding of periodic properties. in engineering. In the first semester, the fundamen- chemistry fundamentals and to develop the ana- Descriptive chemistry is included throughout tal principles of chemistry are presented including lytical skills necessary for solving problems. In the in all developments. Frequent live demonstrations atomic and molecular structure, molecular proper- weekly tutorials, students work in small groups at and classroom computer use emphasize the unifying ties, periodic trends in reactivity, solution chemistry, solving problems collaboratively. The general topics, experimental and theoretical aspects of the subject. thermodynamics and kinetics. Quantitative aspects textbook and laboratory are the same as those for are stressed. A laboratory is offered with this part of CHEM 117–118. CHEM 114 will serve as a pre- 117–118. General Chemistry I and II Lecture the course. In the second semester, these topics are requisite course to all upper-level courses which list and Laboratory woven into key themes of modern biology, including CHEM 118 or CHEM 126 as a prerequisite. (3-3-4) (3-3-4) protein structure and function, gene structure and Identical to CHEM 115–116 except for including a manipulation, and basics of biotechnology. Emphasis laboratory. The lab introduces experimental chem- is placed on common themes rather than biological istry with examples from all areas of chemistry. The details, and examples are drawn from biological sys- experiments range from traditional wet chemistry tems of interest to engineers. This course will serve as to modern instrumental analysis. The lab consists a prerequisite course to all upper-level courses which of prelab lecture and individual laboratory work. In list CHEM 118 or CHEM 126 as a prerequisite. both semesters, computers are integrated into the ex- periments. The computer programs are intended to promote certain problem-solving skills and provide experimental simulation not possible within the time constraints of the normal laboratory period. 323

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125–126. General Chemistry I-M and II-M Lecture 212. Biochemistry Seminar 247–248. Organic Chemistry I and II and Laboratory (1-0-0) (4-0-4) (4-0-4) (3-3-4) (3-3-4) A zero-credit seminar course offered in the fall term Prerequisites: CHEM 114, 116, 118 or 126. Prerequisites: High school chemistry and physics; for sophomore biochemistry majors only. The sem- Prerequisite or Corequisite: BIOS 162 or 201. (For three-and-one-half units of mathematics. inar seeks to acquaint the biochemistry majors with sophomore biology and biochemistry majors only.) Corequisite: MATH 125–126. (1) the biochemistry faculty members, (2) the types Basic principles of organic chemistry, including A course in modern chemistry recommended for of research programs in biochemistry that are being structure, stereochemistry, reaction mechanisms, syn- students with a special interest in the subject, espe- carried out in the department and (3) some general thesis, and reactions of important classes of organic cially those intending to major or wishing to explore biochemistry concepts. Each meeting will be con- compounds and their relationships to biochemical a major in chemistry or biochemistry. A thorough ducted by a different member of the biochemistry and biological systems. For students having an in- and rigorous study which integrates the class and faculty. terest in chemistry as it relates to the life sciences. laboratory work closely, seeking to emphasize the unifying experimental and theoretical aspects of 223–224. Elementary Organic Chemistry I and II 247L–248L. Organic Chemistry Laboratory I and II the subject. Realistic historical and contemporary (3-0-3) (3-0-3) (0-3-1) (0-3-1) examples, including some taken from research done Prerequisite: CHEM 114, 116, 118, 122, or 126. Corequisite: CHEM 247-248. at Notre Dame, provide a basis for a critical under- Elements and principles of organic chemistry, with Introduction to laboratory techniques of organic standing of the evolving nature of this science and of emphasis on structure-reactivity relationships. chemistry and related biochemical applications. its importance in the modern world. Students will work extensively with class and laboratory materials 223L–224L. Elementary Organic Chemistry 321–322. Physical Chemistry I and II developed especially for this course, with computers, Laboratory I and II (3-0-3) (3-0-3) and with library and Internet research resources. (0-3-1) (0-3-1) (For science majors only.) To be taken concurrently with CHEM 223-224. Prerequisites: CHEM 114, 116, 118 or 126; MATH 191. Chemistry and Public Policy Organic reactions and procedures. 126 or 166; and PHYS 132 or 222. (3-3-4) A rigorous course in the fundamentals of physical Prerequisites: High school chemistry or permission 235–236. Organic Chemistry M I and II chemistry, including chemical thermodynamics, of instructor. (3-0-3) (3-0-3) kinetics and the elements of atomic and molecular This one-semester course is intended for students in Prerequisites: CHEM 114, 116, 118, or 126. structure. the Honors program who are not majoring in science A thorough treatment of the basic principles of or engineering. Several projects focus the class on organic chemistry, including modern structural 321–322L. Physical Chemistry Laboratory I and II the interplay between scientific knowledge and law, concepts, the effect of structure on physical and (0-4-2) (0-4-2) business, politics and ethics. Students are placed in chemical properties, reactions, and their mechanisms Prerequisites: To be taken concurrently with CHEM the dual roles of scientists gathering and evaluating and applications in synthesis. Intended primarily for 321-322. data and of policymakers trying to use these data chemistry majors. A course in the experimental aspects of physical to make decisions. The projects involve laboratory chemistry, using modern techniques of measure- 235L. Organic Chemistry M Laboratory I experiments, guest lectures, problem-solving sessions, ment. The first semester emphasizes thermodynamic (1-3-1) field trips, reading, research, class discussions and and kinetic measurements. The second semester Corequisite: CHEM 235. presentations, and writing. Topics change each year; emphasizes spectroscopic measurements, including A course designed to introduce students to the labo- past projects have included finding out whether dan- electronic, infrared, Raman and nuclear magnetic ratory techniques of organic chemistry. gerous chemicals are leaching from the Notre Dame resonance spectroscopies, and measurements in re- action dynamics. coal tip, and debating the ratification of a treaty to 236L. Organic Chemistry M Laboratory II ban chemical weapons. (1-6-2) 324. Physical Chemistry for Engineers Prerequisite: CHEM 235L. 201 or 202. Chemistry Seminar (3-0-3) Corequisite: CHEM 236. (1-0–1) (1-0–1) Prerequisites: CHEM 114, 116, 118, or 126; PHYS Fundamental organic reactions and the preparation To be taken either semester of the sophomore 132; MATH 225. of organic compounds. through senior years. Introduction to the commu- A course in the fundamentals of physical chemistry, emphasizing theoretical and experimental aspects nication of scientific knowledge. 243. Inorganic Chemistry of reaction kinetics, an introduction to quantum (3-0-3) 204. Environmental Chemistry theory and a critical appreciation of the nature of the Prerequisites: CHEM 114, 116, 118 or 126. (3-0-3) chemical bond. The course also explores how spec- Descriptive chemistry of both main group and tran- Prerequisites: CHEM 116, 118, or 126, or consent troscopic techniques allow us to gain insight into the sition metal elements, emphasizing periodic trends of instructor. structure and properties of molecules. Spring. in structure and reactivity and using the concepts Discussion of basic chemical processes occurring in of atomic theory, elementary bonding theory and the environment, particularly those relating to the 331. Chemistry in Service of the Community ligand field theory. Introduction to inorganic ther- impact of humanity’s technological enterprise. (1-0–1) modynamics and solution chemistry. Corequisite: CHEM 333 and 333L. Addressing the problem of lead contamination in the community, students will visit area homes and collect paint, dust, and soil samples. After analyzing these samples in CHEM 333L, students will help homeowners reduce the health risks associated with exposing young children to lead. 324

CHEMISTRY AND BIOCHEMISTRY ~ ENVIRONMENTAL SCIENCES

333. Analytical Chemistry 420. Principles of Biochemistry (2-0-2) (2-0-2) (3-0-3) Environmental Sciences Prerequisite: CHEM 114, 116, 118, or 126. Prerequisite: CHEM 224 or 236 or 248. Corequisite: CHEM 333L. A general treatment of the various areas of modern Director, Associate Professor of Biological Sciences: Volumetric and gravimetric analysis and methods of biochemistry; intermediary metabolism, bioener- Paul R. Grimstad separation integrated with instrumental analysis. getics, molecular basis of genetic and developmental processes and cellular mechanisms. Not intended for Program in Environmental Sciences. The form and 333L. Analytical Chemistry Laboratory biochemistry majors. function of planet Earth have been changed as a (0-4-2) (0-4-2) result of the activities of humans. Current concerns, Corequisite: CHEM 333. 434. Physical Methods of Chemistry such as environmental pollution and global warm- A laboratory course in the techniques of analytical (3-0-3) ing, are the results of complex processes. It is now chemistry. Prerequisites: CHEM 333 and CHEM 236 and important for people in all walks of life to be aware 236L. of how we interact with the Earth and how environ- 337. Physical Chemistry for Life Sciences A course in molecular structure examined through mental changes will affect us in the future. (3-0-3) the theory and interpretation of spectra. The focus The environmental sciences major is an inter- Prerequisites: CHEM 114, 116, 118, or 126; MATH is on infrared, ultraviolet-visible, mass and nuclear disciplinary program designed to build sensitivity 120, 126, 166, or 196; and PHYS 132 or 222. magnetic resonance spectroscopies with an intro- and breadth in environmental areas. The curriculum An elementary course in physical chemistry, dealing duction to two-dimensional NMR, Raman, micro- is designed to expose students to a scientific view with states of matter, laws of thermodynamics, solu- wave, electron spin resonance and circular dichroism of our environment from biological, chemical and tions, acid-base and oxidation-reduction equilibria, techniques. geological perspectives. Particular emphasis is placed interphase equilibria and chemical kinetics. on understanding how humans interact chemically 443. Inorganic Chemistry and biologically with the environment. Material and 341. Fundamentals of Biochemistry (3-0-3) energy resource limitations, chemical and thermal (3-0-3) Prerequisite: CHEM 322 or 324. pollution, and effects of environmental pollution Prerequisite: CHEM 236 or 248. A course in modern inorganic chemistry, incorpo- on public health are major considerations within This course is offered for undergraduate biochem- rating the chemistry of clusters, organometallic the environmental sciences curriculum. Emphasis is istry majors and is generally taken in the junior year. chemistry, bioinorganic chemistry and photochem- also placed on understanding interactions between The course covers the basic chemical and physical istry. Emphasis is placed on a molecular orbital ap- human societies and the environment from social, principles of the primary biomolecules: protein, car- proach to topics in main group and transition metal ethical, economic, anthropological, and governmen- bohydrates, lipids and nucleic acids. The structures chemistry. Aspects of solid-state chemistry are also tal points of view. Students are also encouraged to and properties of these molecules and their relevance included. strengthen their mathematical and computational to biological processes will be integrated. skills and to participate voluntarily in environmen- 443L. Advanced Inorganic Chemistry 341L. Fundamentals of Biochemistry Laboratory Laboratory tally oriented research projects or summer (0-6-2) (0-4-2) internships. Prerequisite or Corequisite: CHEM 341. Corequisite: CHEM 443. The First Major. College of Science students who This course is designed to let students explore The preparation of main group inorganic, coor- major in Environmental Sciences will earn the degree some of the many techniques that are utilized in dination and organometallic compounds, including of bachelor of science. Students following the En- characterizing proteins, lipids, carbohydrates and air-sensitive manipulations and the use of vacuum- vironmental Sciences first major program complete ribonucleic acids. It exposes students to many state- line techniques. Characterization of inorganic a total of 69 credits of science. A second major in of-the-art biochemical and computational methods compounds by spectroscopic and electrochemical Environmental Science is also offered to students in for elucidating structural and functional properties methods. the College of Arts and Letters or in the Mendoza of these important types of molecules. Research College of Business. components are included in the major classes of ex- 497. Directed Readings periments. Biochemistry majors only. (0-V-V) The Second Major for Arts and Letters and Prerequisite: Permission of department chair or Business: Most students in the College of Arts and 342. Intermediary Metabolism department advisor and individual instructor. Open Letters or in the Mendoza College of Business may (3-0-3) to seniors only for a maximum of three credits per participate in the Environmental Sciences Program Prerequisite: CHEM 341. year. as a second major. Second majors are required to This course is offered for undergraduate biochem- In-depth study of topics not covered or only complete a minimum of 37 credits of science. Stu- istry majors and is generally taken in the junior briefly covered in other courses. Readings, problems dents considering this program should investigate year. The course is a study of the major metabolic and reports. options brought to a first major by adding course processes of carbohydrates, lipids, amino acids and work in environmental sciences. For example, stu- nucleotides that occur in higher animals. Emphasis is 498R. Undergraduate Research dents majoring in government and in environmental placed on individual reactions and on the functional (0-V-V) sciences could consider postgraduate study or careers significance of the resulting metabolic pathways Prerequisite: Permission of undergraduate in public policy. Students majoring in economics and that occur in different tissues and organs. Methods advisor. in environmental sciences would have a good back- of integration and regulation of the pathways are Research in collaboration with members of the ground for the developing field of environmental eco- presented. faculty. Seniors must present both a written and oral nomics. A second major in Environmental Sciences report of their work. also complements majors in the other sociological Graduate courses in chemistry are open to qual- fields of anthropology, psychology, or sociology. ified advanced undergraduate students, subject to the Similarly, business students will likely find envi- approval of the department chair. These courses are ronmental sciences to be useful background when listed in the Graduate School Bulletin of Information. working with local or federal governments on issues of environmental compliance or when considering the impact of business decisions on the environment 325

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(environmental assessment). All students are urged to discuss their long-range career plans with advisors in SUMMARY OF REQUIREMENTS FOR GRADUATION FOR ENVIRONMENTAL SCIENCES MAJOR both majors. Credits Relationship with Other Programs: The Environ- mental Sciences Major Program has a special col- Biological Sciences 16 laborative relationship with the Science, Technology, and Values (STV) Concentration program housed in Chemistry 11–13 the Reilly Center in O’Shaughnessy Hall. Many of the courses required of environmental sciences first Geology 4 majors are also crosslisted as STV courses. Thus, stu- Mathematics 8 dents in the STV program from across the university are expected to benefit in the curricular endeavors Physics 8 of the Environmental Sciences Program. Environ- mental sciences first majors often enroll in the STV SC 491 3 program. (Environmental science students with flex- ibility in their program may have room to complete Science Electives 17–19 a STV concentration by taking STV courses beyond those required by the first major or university Total Science 69 requirements.) However, arts and letters students with second majors in environmental science will be Language Intermediate Level Competency encouraged to participate in further interdisciplinary course work through the STV concentration. Second FYC 110 3 majors are especially encouraged to take the capstone course, SC 491, Current Topics in Environmental Philosophy* 6 Science, as part of the STV concentration. Related Options: A similar bachelor’s degree pro- Theology* 6 gram, Environmental Geosciences (ENVG), is of- fered by the College of Engineering. History* 3 Also available through the College of Engineering Social Science 3 is the Environmental Geosciences minor. Note, for students in ES (or SCBU, SCCO, and SCED): the Literature/Fine Arts* 3 College of Science will allow the course SC/ENVG 231 to count toward both the science major and Free Electives 22** this major. Any courses taken for completion of this minor may not also be counted as science electives or 124 science requirements for a science major. * One of these courses must be a University Seminar 180. BACHELOR OF SCIENCE WITH A MAJOR ** Assumes intermediate-level competency in language was achieved by taking three 3-credit courses. IN ENVIRONMENTAL SCIENCES All environmental sciences first majors take the fol- taking MATH 120, while those who have taken Introduction to Economics (ECON 101 or 201)7,8 lowing courses in science: only one semester of lower-level calculus should Students are also urged to choose their electives from take both MATH 119, 120. (See also the discussion General Biology (BIOS 201–202 and 201L– a recommended list of ISP8 courses and arts and let- on science degree credit found later in this section 202L)1 ters courses.9 of the Bulletin.) General Chemistry (CHEM 117–118)1 Requirements for the program are summarized in 4. The chemistry elective requirement is satisfied by Calculus (MATH 119–120 or 125–126)1, 2, 3 the table on the next page. either one first course in organic chemistry (CHEM Geology (ENVG 231) 223, 223L or CHEM 235, 235L or CHEM 247, Physics (PHYS 131–132 or 221–222) Notes: 247L) or Inorganic Chemistry (CHEM 243) or by Biostatistics (BIOS 411) 1. Equivalent or higher-level sequences in science Analytical Chemistry (CHEM 333, 333L). Ecology (BIOS 312) may be substituted, e.g., CHEM 113–114 or 5. The following are the primary approved science 4 Chemistry elective CHEM 125–126 for CHEM 117–118 or BIOS electives for this program: Current Topics in Environmental Science 161–162 for BIOS 201–202 or MATH 165–166 Botany (BIOS 304) (SC 491) for MATH 125–126. Evolution (BIOS 305) Students also will choose science electives chosen 2. Students interested in the area of ecological mod- The History of Life (BIOS 310) 5 from an approved list, completing a required min- eling are strongly urged to take MATH 125–126 Plant Science (BIOS 325) imum total of 69 credits in science. for their mathematics requirement. Other mathe- Principles of Microbiology (BIOS 401) matics courses should be taken as science electives. Animal Behavior (BIOS 407) Also required for the major are the following non- 3. Students who have completed only six hours of Aquatic Ecology (BIOS 420) science courses: mathematics in their first year may transfer into the Stream Ecology (BIOS 527) program, but they will be required to complete a Environmental Ethics (PHIL 247) or Science, Other BIOS courses as designated by the ES mathematics sequence equivalent to MATH 119, Technology, and Society (PHIL 256) or approved director, including 500-level graduate courses 6 120 or MATH 125, 126. Students having taken substitute (PHIL, THEO, other). are accepted. MATH 105, 106 (or 108 or 110) may do this by 326

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Environmental Chemistry (CHEM 204) Ethics of Development (STV 462) Senior Year Further Chemistry electives (from Note 4 The Environment: Science, Culture and First Semester above) Values (STV 472) CHEM elective or science elective 3–5 Second course in organic chemistry (CHEM Design and Ecology (STV 488) Science Elective 3–4 224, 224L or 248, 248L or 236, 236L) And others as approved by the ES director. Science Elective 3 Principles of Biochemistry (CHEM 420) The STV courses may be taken either under Electives9 6 Computer Programming and Problem Solving the STV label or from the primary depart- ——— (MATH 211) mental crosslist. 15–18 Calculus III (MATH 225) Second Semester Introduction to Linear Algebra and Differ- Sample Curriculum (B.S. Degree Majors): Science Elective 4 ential Equations (MATH 228) First Year Science Elective 3 Differential Equations (MATH 325) First Semester SC 491 3 9 Topics in Computing (MATH 411) CHEM 117. General Chemistry I 4 Electives 4 Physical Geology (ENVG 231) MATH 119. Calculus A 4 ——— Mineralogy and Optical Mineralogy (SC 242) FYC 110 3 14 Environmental Geology (SC 362) Theology* 3 Sedimentation and Stratigraphy (SC 357) History* 3 * One of these must be a University Seminar 180. Geochemistry (SC 403) Physical Education/ROTC — **Ideally, students who decide to major in envi- Paleontology (SC 459) ——— ronmental sciences before beginning their first year Other SC courses as approved by the ES di- 17 should take BIOS 161–162. This will allow for an rector may be included as they become avail- Second Semester additional year of relevant science and other electives able. Select courses offered in International CHEM 118. General Chemistry II 4 to be included in their total curriculum. See notes Studies Programs (UC-Dublin, UWA-Perth) MATH 120. Calculus B 4 accompanying BIOS 161–162 and BIOS 201–202 also may be counted toward the ES science Fine Arts/Literature* 3 for additional information. electives as well as select ENVG courses not Philosophy* 3 Environmental Sciences As a Second Major. crosslisted with SC, with permission of the ES ECON 115 3 Most students in the College of Arts and Letters or director. Physical Education/ROTC — in the Mendoza College of Business may participate Students interested in attending graduate ——— in the Environmental Sciences Program as second school in environmental sciences should 17 majors. Students who are considering the environ- consider taking science electives beyond Sophomore Year mental sciences second major must have a first major requirements of this major. For example, for First Semester in one of the departments of the College of Arts and admission into some graduate programs, a year BIOS 201. General Biology A** 3 Letters or the Mendoza College of Business. Because of organic chemistry would be a requirement. BIOS 201L: General Biology A Lab 1 of the sizable overlap in requirements, students in Deviations from the approved list of science ENVG 231. Physical Geology 4 the College of Arts and Letters who have a second electives must be approved by the advisor for Language 3 major in preprofessional studies will not be allowed the major. PHIL 247 or 256 3 to add this second major program. 6. For this major, the University requirement of a ——— The requirements for second majors consist of second philosophy or theology or other University- 14 the following science courses: required course will be fulfilled by one of these Second Semester courses. BIOS 202. General Biology B** 3 General Biology (BIOS 201–202 and 201L– 7. The economics requirement for this major is ful- BIOS 202L: General Biology B Lab 1 202L or BIOS 161–162 and 161L–162L)1 filled by taking Introduction to Economics CHEM elective or science elective 3–4 Ecology (BIOS 312) (microeconomics) either in the first year (ECON Language 3 General Chemistry (CHEM 117–118)1,10 101) or in the second through fourth years (ECON Elective9 3 Environmental Chemistry (CHEM 204) or 201). Students who have taken ECON 123/223 ——— approved alternative (Principles of Economics I) will be required to take 13–14 Geology (ENVG 231) ECON 224 (Principles of Economics II). Note, Junior Year Physics11 the course ECON 180 (Social Science University First Semester Biostatistics (BIOS 411)12 Seminar) will not fulfill the economics requirement BIOS 312. General Ecology 4 Biology or Geology elective (3 or 4 credits)13 for this major. PHYS 221. General Physics I 4 The total required course work requires a min- 8. For this major, the University social science Elective (or Language) 3 imum total of 37 credits in science. requirement will be fulfilled by the required eco- Theology 3 Note, the same policy applies for Environ- nomics course. Elective9 3 mental Sciences first and second majors: All 9. Numerous STV courses are recommended as ——— College of Science courses specified by the electives, including: 17 major program must be taken at the University Religious Ethics and the Environment Second Semester of Notre Dame. (An exception is made for any (STV 270) BIOS 411. Biostatistics 4 science courses taken for this major through an Philosophy of Technology (STV 351) PHYS 222. General Physics II 4 approved Notre Dame International Studies Nature in America (STV 371) Science Elective 3 Program.) Environment and Environmentalism in Electives9 6 History (STV 375) ——— Notes (a continuation from above): Self, Society and the Environment (STV 419) 17 10. As is the case for science first majors, six credits Appropriate Technology and the 3rd World of the science course work in this program will also (STV 460) be counted toward the student’s university science requirement. 327

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11. This requirement is satisfied by either one first course in physics (PHYS 115 or 131 or 151 or 221) SUMMARY OF REQUIREMENTS FOR THE DEGREE OF BACHELOR OF SCIENCE IN MATHEMATICS or an approved survey course: Concepts of Energy (For other programs see the Department of Mathematics) and the Environment (PHYS 104) or Technological Risk (PHYS 176) or Energy and Society (PHYS Mathematics Mathematics Mathematics Mathematics 204) and others as designated. Honors Career and Computing and Life Sciences 12. Although mathematics course work is not spe- Program Program Program Program cifically required of this program, several required courses (BIOS 411 or some of the first courses Mathematics 46 42 42 39 in physics) do have a prerequisite of one year of calculus (MATH 119–120 or equivalent). For all Chemistry 8 8 8 16 students in the College of Arts and Letters or the Mendoza College of Business, the mathematics Physics 8 8 8 8 sequence MATH 119–120 is acceptable for com- pletion of the university mathematics requirement; Biological Sciences — — — 12 thus, this sequence is recommended for students considering Environmental Sciences as a second Science Elective 3 3 3 — major. Students lacking this mathematics background may have to take further course work in mathematics Language Intermediate Level Competency in order to meet the prerequisites in mathematics of courses in this program. FYC 110 3 3 3 3 13. Chosen from approved biology or geology elec- tives listed in note 6 above. Philosophy* 6 6 6 6

Sample Curriculum (Second Majors): Theology* 6 6 6 6 Social Sciences* 3 3 3 3 Students should remember that all science major programs require course work that builds upon pre- History* 3 3 3 3 requisites and thus require careful planning. A sug- gested curriculum for second majors is given below. Literature/Fine Arts* 3 3 3 3 Note: Only the courses for the second major are listed. First Year* Engineering — — 15 — First Semester CHEM 117. General Chemistry I 4 Free Electives 26** 30** 15** 16**

Second Semester 124 124 124 124 CHEM 118. General Chemistry II 4 * One of these courses must be a University Seminar 180.

** Sophomore Year Assumes intermediate level competency in language was achieved by taking three three-credit courses. First Semester BIOS 201. General Biology A 3 Mathematics Rev. Howard J. Kenna, C.S.C., Memorial Professor of BIOS 201L: General Biology A Lab 1 Mathematics: Chair: Israel M. Sigal William G. Dwyer Second Semester Notre Dame Professor of Applied Mathematics: BIOS 202. General Biology B 3 Associate Chair: Joachim J. Rosenthal BIOS 202L: General Biology B Lab 1 Alex A. Himonas Professors: Director of Graduate Studies: Mark S. Alber; Steven A. Buechler; Junior Year Julia Knight Jianguo Cao; Peter A. Cholak; First Semester Director of Undergraduate Studies: Francis X. Connolly; Leonid Faybusovich; ENVG 231. Physical Geology 4 Juan Migliore Matthew Gursky; Alexander J. Hahn; PHYS 204. Energy and Society 3 William J. Hank Family Professor of Mathematics: Qing Han; Alex A. Himonas; Alan Howard William G. Dwyer (emeritus); Bei Hu; Juan Migliore; Second Semester Charles L. Huisking Professor of Mathematics: Timothy O’Meara (Kenna Professor of BIOS 411. Biostatistics 4 Julia F. Knight Mathematics, emeritus, and provost emeritus); CHEM 204. Environmental Chemistry 3 Vincent J. Duncan and Annamarie Micus Duncan Richard R. Otter (emeritus); Barth Pollak Professor of Mathematics: (emeritus); Mei-Chi Shaw; Brian Smyth; Senior Year Andrew Sommese Dennis M. Snow; Nancy K. Stanton; First Semester John A. Zahm, C.S.C., Professor of Mathematics Wilhelm Stoll (Duncan Professor of BIOS 312. General Ecology 4 Stephen A. Stolz Mathematics, emeritus); Laurence R. Taylor; Kenna Associate Professor of Mathematics: E. Bruce Williams; Pit-Mann Wong; Second Semester Xiaobo Liu Warren J. Wong (emeritus); Frederico Xavier BIOS or ENVG Elective 3–4 John and Margaret McAndrews Professor of Mathematics: *MATH 119–120 or equivalent are not included in Francois Ledrappier the minimum total of 37 credits in this sequence; satisfies the University math requirement. 328

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Associate Professors: Mario Borelli (emeritus); Ferdinand L. Brown, C.S.C. (emeritus); John E. Derwent (emeritus); Jeffrey A. Diller; Matthew J. Dyer; Samuel R. Evens; Michael Gekhtman; Abraham Goetz (emeritus); Brian C. Hall; Xiabo Liu; Cecil B. Mast (emeritus); Gerard K. Misiolek; Liviu Nicolaescu; Claudia Polini; Sergei Starchenko; Vladeta Vuckovic (emeritus) Assistant Professors: Katrina D. Barron; Karen A. Chandler; Richard Hind; David P. Nicholls

Program of Studies. Mathematics has had a pro- found effect upon civilization since ancient times, when the legend originally inscribed on the entrance to Plato’s academy was “Let no one ignorant of geometry enter here.” It was equally true during the medieval period, when arithmetic and geometry constituted two of the seven subjects considered es- sential for a liberal education. It has been said that the second most influential book in the span of Western civilization—after the Bible— is Euclid’s Karen A. Chandler, assistant professor of mathematics Elements. Although mathematics is usually associated with science and technology in the modern mind, it seems apparent from the writings of the great leading to the degree of doctor of philosophy, as de- Honors Calculus I (MATH 165) mathematicians of the 17th and 18th centuries that scribed in the Graduate School Bulletin of Honors Calculus II (MATH 166) religious belief played a great role in their pursuit of Information. Honors Calculus III (MATH 265) mathematics. They saw the “system of the world” The department recognizes that, besides those Honors Calculus IV (MATH 266) obeying mathematical laws and as a consequence felt students who wish to pursue a career devoted pri- Honors Algebra I (MATH 261) impelled to study mathematics so as to better appre- marily to mathematical research and teaching, many Honors Algebra II (MATH 262) ciate the world’s Creator. will wish to take positions in business, industry or Honors Algebra III (MATH 361) Mathematics continues to have a profound in- government where they will be using their math- Honors Algebra IV (MATH 362) fluence in our century. From the theory of relativity, ematical skills in close collaboration with engineers Honors Analysis I (MATH 365) with its applications to the study of the large-scale as well as biological, physical and social scientists. Honors Analysis II (MATH 366) structure of the universe, to the development of the These students will find among the listed programs Electives (12 credit hours with six at the modern computer, with its manifold applications in one well suited to their needs. Besides these pro- 400 level) science, technology and business, mathematics has grams a student may, in consultation with the direc- played a fundamental role. It is surely the most uni- tor of undergraduate studies and the department Mathematics Courses for the Other Programs versal of all scientific tools, and the student equipped chair, create a program especially tailored to his or All other mathematics programs (except the com- with a strong mathematical background will be in her career goals. puting program) require the following mathematics core courses: the enviable position of being able to employ his or Bachelor of Science with a Major in Mathematics. Calculus I (MATH 125) her expertise in any area in which rigorous thought The mathematics curriculum at Notre Dame Calculus II (MATH 126) and precision of results are mandated. includes nine course sequences or areas of concen- The department is dedicated to the devel- tration within the College of Science. These pro- Calculus III (MATH 225) opment of undergraduate studies, to the teaching grams are designed to accommodate the academic Ordinary Differential Equations (MATH 230) of mathematics to scientists, engineers and teach- and professional interests of all mathematics majors. Linear Algebra (MATH 221) ers, to graduate education and research, and to the Brief descriptions are given below, and more detailed Introduction to Abstract Math (MATH 223) discovery of new mathematics. The entire faculty is descriptions of these programs are available on re- Algebra (MATH 337) involved with undergraduate affairs, and students quest from the Department of Mathematics. Real Analysis (MATH 338) have the opportunity of associating with scholars of College Requirements. All must take the following Computer Programming (MATH 211) international repute. Mathematics at Notre Dame College of Science courses: CHEM 117, 118; PHYS provides students with a discipline of the mind and a 131, 132; and an additional science elective. In addition to this basic sequence, the following stimulation of the imagination par excellence. A student who takes two semesters of organic courses are required for each program: Programs in mathematics prepare students for chemistry or two semesters of general biology is only Mathematics Career Program graduate studies or for professional work in fields required to take PHYS 221-222. This program is designed to give students a general in which mathematics plays a dominant role. They background in mathematics. In addition to the basic provide an excellent preparation for law school, med- Mathematics Honors Program sequence of courses listed above, 12 hours of math- ical school, business school and secondary school This program is suited to students who are interested ematics electives are required, at least three of which teaching. Graduates may enter careers in research in graduate work in one of the mathematical sciences are at the 400 level. institutes or industrial or government positions. and to those whose career plans require a strong In addition to its undergraduate programs, the background in modern mathematics. department offers programs of graduate study 329

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Applied Mathematics Program Mathematics and Business Administration Program MATH 125–126-225. Calculus I-III 11.5 This program is designed for students interested in This program is designed to prepare students for a MATH 230. Ordinary Differential the broader area of applied mathematics. In addition career in business or in the actuarial profession. The Equations 3.5 to taking the core mathematics courses, the student following mathematics courses are required in addi- MATH 211. Computer Programming is required to take 15 credits from the following tion to the basic sequence: and Problem Solving 3 list of courses, six credits of which must be at the Introduction to Probability (MATH 323) MATH 221. Linear Algebra 3 400 level: MATH 311, MATH 318, MATH 323, Mathematical Statistics (MATH 324) MATH 223. Introduction to Abstract Math 3 MATH 324; MATH 405, MATH 423, MATH 424, Introduction to Operations Research (MATH MATH 337. Algebra 3 MATH 425, MATH 433, MATH 434, MATH 436, 311) MATH 338. Real Analysis 3 and MATH 441. Elective in Mathematics (three credits at the Mathematics electives 9* 400 level) Mathematics elective at the 400 level 3* Mathematics and Life Sciences Program ——— This program is designed for mathematics majors Also required are ECON 201 or its equivalent 42 credits who are interested in life-science-oriented careers. and the following courses from the College of Busi- The following mathematics courses are required ness: ACCT 231, FIN 231, MARK 231, MGT 231 * Students majoring in finance and business eco- in addition to the basic sequence of courses listed and one course from the following list: ACCT 232, nomics may reduce the number of mathematics above: FIN 360, FIN 361, FIN 370, MGT 350, MGT electives to nine credits total by taking the following Introduction to Probability (MATH 323) 473, MARK 370. courses: MATH 323, MATH 324, and MATH 517. Mathematical Statistics (MATH 324) Elective in Mathematics (three credit hours at Mathematics and Engineering Science Program Sample Curriculum the 400 level) This program is designed for students interested in (Mathematics Career Program): applied or industrial mathematics. In addition to the First Year The following College of Science courses are mathematics core courses, the student is required First Semester required: to take one of MATH 425, MATH 423 or MATH MATH 125. Calculus I 4 Organic Chemistry (CHEM 223, 223L; 224, 436, and nine more credits of mathematics electives. CHEM 117. General Chemistry I 4 224L) The student must also complete one of the following PHYS 131. General Physics I 4 General Biology (BIOS 201, 201L; 202, two sequences of engineering classes: History or Social Science1 3 202L) Thermal option: AME 225, AME 226, AME FYC 110 3 Genetics (BIOS 303, 303L) 334, AME 327, AME 439 Physical Education or ROTC — Structures and design option: AME 225, CE ——— Mathematics and Computing Program 236, AME 327, CE 336, CE 356 18 This program is designed for students who plan to Second Semester pursue graduate study or industrial careers in com- Mathematics and Social Science Program MATH 126. Calculus II 4 puting science. All of the mathematics core courses This program is designed for students planning grad- CHEM 118. General Chemistry II 4 listed above except MATH 211 are required, as well uate school or a career in one of the social sciences PHYS 132. General Physics II 4 as 15 hours of mathematics electives, at least three with a strong mathematics and statistics background. History or Social Science1 3 hours of which are at the 400 level. In addition to the basic sequence, the following Philosophy or Theology 3 mathematics courses are required: Physical Education or ROTC — In addition, the student must complete one of the Introduction to Probability (MATH 323) ——— following sequences of computing courses: Mathematical Statistics (MATH 324) 18 Introduction to Operations Research (MATH Sophomore Year Software design option: CSE 211, CSE 212, 311) First Semester CSE 210, CSE 331, CSE 346, fourth Elective in Mathematics (three credits at the MATH 221. Linear Algebra 3 elective 400 level) Theory option: CSE 211, CSE 212, CSE 210, MATH 225. Calculus III 3.5 Moreover, the student must elect introductory Language 3 CSE 331, CSE 411, CSE 413 courses in three of the social sciences, SOC 302 and Theory and compilers option: CSE 211, CSE Philosophy or Theology 3 two courses at the 300 or 400 level in one of the Science Elective 3 212, CSE 210, CSE 331, CSE 411, CSE social sciences. 443 ——— Computer architecture option: CSE 211, Mathematics as a Second Major 15.5 CSE212, CSE 221, CSE 321, CSE 322, Students in the Mendoza College of Business or the Second Semester fourth elective College of Arts and Letters may pursue a second MATH 211. Computer Programming major in mathematics by completing all mathematics and Problem Solving 3 Mathematics Education Program courses required for the career mathematics concen- MATH 223. Introduction to Abstract Math 3 This program is designed for students who plan a tration. See the list below. To list mathematics as a MATH 230. Ordinary Differential Equations 3.5 career in secondary education. The following math- second major on the transcript, the student must Language 3 ematics courses are required in addition to the basic satisfy all of the requirements for a major in some Philosophy or Theology 3 sequence listed above: department of the Mendoza College of Business or ——— Introduction to Probability (MATH 323) the College of Arts and Letters. 15.5 Mathematical Statistics (MATH 324) Elective in Geometry (three credit hours) Elective in Mathematics (three credit hours) (One of these classes must be at the 400 level) The following education courses are to be taken at Saint Mary’s College: EDUC 201, 220, 340, 350, 356, 404, 451, and 475. 330

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Junior Year 105. Elements of Calculus I 114. Elements of Statistics First Semester (3-0-3) (3-0-3) MATH 337. Algebra 3 For students in arts and letters, architecture, or This course is aimed to those students who may or Mathematics elective 3 business. may not plan to use statistics in their chosen careers, Language 3 A study of differential calculus as part of a liberal but wish nevertheless to become informed and astute Philosophy or Theology 3 education. Topics include functions and their graphs, consumers. Topics include: statistical decision mak- Elective 3 derivatives, and applications. ing, sampling, data representation, random variables, ——— least square regression lines, elementary probability 107. Principles of Finite Mathematics 15 theory, conditional probabilities, independence, Second Semester (3-0-4) and Bayes’ rule. The methodology will focus on a MATH 338. Real Analysis 3 For students in arts and letters. “hands-on” approach, with use of computer simula- Literature or Fine Arts 3 For first-year students who lack the necessary back- tion and representation. Concepts and terminology Electives 9 ground for MATH 104. (Students who take this will be introduced only after thorough exposure to ——— course can not take MATH 104.) Topics include situations that necessitate the concepts and terms. 15 elementary probability, data analysis, statistical in- Care will be exercised to select a variety of situations Senior Year ference, and information codes. from the many fields where statistics is used in mod- First Semester ern society. Examples will be taken from biology and 108. Elements of Calculus II for Business Mathematics electives 6 medicine (e.g., drug testing, wild animal counts), the (3-0-3) Electives 9 social sciences, psychology, and economics. Prerequisite: MATH 105 or equivalent, but no prior ——— MATH 110. Credit is not given for both MATH 115. First-Year Mathematics Seminar 15 108 and either of the following courses: MATH 110 (3-0-3) Second Semester and MATH 120. For students in business. For students in arts and letters, or as an elective for Mathematics elective 3 An introduction to the basic concepts of integral cal- students in architecture or business administration. Electives 9 culus, with emphasis on problems arising in business Students in the College of Science may not receive ——— and economics. science credit for MATH 115. 12 A non-calculus course designed to give the stu- 1 The student should take three general requirement 110. Elementary Calculus in Action dents a view of the beauty, importance, and ubiquity courses during the first year, including one course that (3-0-3) of mathematics in our lives and our society. The top- is designated a University Seminar 180. It is recom- Prerequisite: MATH 105 or equivalent. Credit is not ic and instructor will vary from semester to semester. mended that one course in history or social science be given for both MATH 110 and either of the follow- taken in the first year and one philosophy and one the- ing courses: MATH 108 and MATH 120. 119–120. Calculus A and B ology course be taken by the end of the sophomore year. A second calculus course for arts and letters and (3-1-4) (3-1-4) Mathematics Course Descriptions. The following architecture students. This course uses typical math- Primarily for students in science whose programs course descriptions give the number and title of each ematical strategies of elementary calculus and shows require a one-year terminal course in calculus of one course. Lecture hours per week, laboratory and/or these "in action" with studies of the suspension variable but also open to students in arts and letters. tutorial hours per week, and credits each semester are bridge, various nuclear clocks, growth patterns of Topics include sets, functions, limits, continuity, in parentheses. human and bacterial populations, the dynamics of derivatives, integrals, and applications. money, and basic economics. 103. Processes of Mathematical Thought 125–126. Calculus I and II (3-0-3) 111. Principles of Calculus (3-1-4) (3-1-4) For students in arts and letters or business (3-0-4) For students in science and engineering. administration. For students in arts and letters. Topics include sets, functions, limits, continuity, de- A study of mathematical thought as an analytical Note: Credit is not given for both this course and rivatives, integrals, and applications. Also covered are tool to solve real-life problems. The class is divided any other calculus course. transcendental functions and their inverses, infinite into teams, each analyzing a topic from such areas A terminal course introducing the principles of cal- sequences and series, parameterized curves in the as commercial games, consensus within diversity, culus. Topics include basic properties of functions, plane, and polar coordinates. governmental economic planning, and chaos theory. derivatives, and integrals. This course is not intended Teams will present their findings in a seminar for- to prepare students for more advanced work in 165–166. Honors Calculus I and II mat. This course satisfies one semester of the Univer- calculus. (4-0-4) (4-0-4) sity science requirement but does not count toward Required of honors mathematics majors. the University mathematics requirement. 112. Beginning Logic A rigorous course in differential and integral cal- (3-0-3) culus of one variable. Topics include an axiomatic 104. Finite Mathematics For students in arts and letters. formulation of the real numbers, mathematical in- (3-0-3) An introduction to formal languages, systems of duction, infima and suprema, functions, continuity, For students in arts and letters or as an elective for proof, and symbolic logic. derivatives, integrals, infinite sequences and series, students in business administration. transcendental functions and their inverses, and ap- Elements of probability, statistics, and matrix theory, plications. The course stresses careful mathematical with applications including Markov chains, game definitions and emphasizes the proofs of the standard theory and mathematics of finance. theorems of the subject. 331

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195–196. Honors Mathematics I and II 228. Introduction to Linear Algebra and 271–272. Mathematical Methods in Physics I and II (4-0-4) (4-0-4) Differential Equations (3-1-3.5) Open only to students in the Arts and Letters/ (3-1-3.5) Prerequisite for MATH 271: MATH 126 or Science Honors Program. Prerequisite: MATH 225. equivalent. A survey of several mathematical topics, emphasizing An introduction to linear algebra and to first- and Corequisite for MATH 271: MATH 225 or the relevance of mathematics to many diverse areas second-order differential equations. Topics include equivalent. of study. Calculus is also studied at the level of elementary matrices, LU factorization, QR factor- Prerequisite for MATH 272: MATH 271. MATH 119–120. ization, the matrix of a linear transformation, change A study of methods of mathematical physics. Topics of basis, eigenvalues and eigenvectors, solving first- include matrices, linear algebra (including matrices 211. Computer Programming and Problem Solving order differential equations and second-order linear and determinants), vector and tensor analysis, vec- (3-0-3) differential equations, and initial value problems. tor calculus, curvilinear coordinates, series, ordinary Prerequisite: MATH 221 or MATH 261 or This course is part of a two-course sequence that differential equations, partial differential equations, equivalent. continues with MATH 325. Credit is not given for orthogonal functions and vector spaces, special func- An introduction to solving mathematical problems both MATH 228 and MATH 221. tions (including Bessel, Legendre, and Hermite), cal- using computer programming in high-level lan- culus of variations, Fourier series, and group theory. 230. Ordinary Differential Equations guages such as C. For mathematics majors, credit is Weekly tutorial sessions. (3-1-3.5) not given for both MATH 211 and CSE 232. Students taking the MATH 271–272 sequence cannot MATH 225 and MATH 221. Prerequisites: get credit for MATH 228, 230, or 325. 214. Introduction to Statistics An introduction to differential equations. Topics (3-0-3) include first-order equations, n-th order linear equa- 311. Introduction to Operations Research Prerequisite: MATH 120 or equivalent. tions, power series methods, systems of first order (3-0-3) An introduction to the principles of statistical in- linear equations, non-linear systems, and stability. Prerequisite: MATH 221 or equivalent. ference following a brief introduction to probability Credit is not given for both MATH 230 and An introduction to linear programming, duality the- theory. This course does not count as a science MATH 325. ory, simplex algorithm, the transportation problem, or mathematics elective for mathematics majors. network analysis, dynamic programming, and game 261–262. Honors Algebra I and II NOTE: Students may not take both BIOS 411 and theory. MATH 214. Not open to students who have taken (3-0-3) (3-0-3) MATH 324. Prerequisite: MATH 166. 312. Probabilistic Models in Operations Research A comprehensive treatment of vector spaces, linear (3-0-3) 221. Linear Algebra transformations, inner products, determinants, Prerequisite: MATH 323 or equivalent. (3-0-3) eigenvalues, tensor and exterior algebras, spectral An introductory survey of probability theory, queu- Open to all students. decompositions of finite-dimensional symmetric ing theory, inventory theory, Markovian decision An introduction to vector spaces, matrices, linear operators, and canonical forms of matrices. The theory, and applications. transformations, inner products, determinants, and course stresses careful mathematical definitions and eigenvalues. Emphasis is given to careful mathe- emphasizes the proofs of the standard theorems of 318. Introduction to Numerical Methods matical definitions and understanding the basic the subject. (3-0-3) theorems of the subject. Prerequisites: MATH 228 or MATH 230 and Credit is not given for both MATH 221 and 265–266. Honors Calculus III and IV MATH 211 or CSE 232. MATH 228. (4-0-4) (4-0-4) An introduction to numerical methods for solving Prerequisite: MATH 166. algebraic and differential equations. Topics include 223. Introduction to Abstract Mathematics Required of honors mathematics majors. numerical solution of systems of linear equations, ap- (3-0-3) A rigorous course in differential and integral cal- proximating functions with polynomials and splines, Open to all students. culus of several variables. Topics include functions solutions of nonlinear equations, numerical inte- The goal of this course is to introduce students of several variables, the inverse function theorem, gration, numerical solution of ordinary differential to the level of rigor and the techniques of writing partial derivatives, multiple integrals, line integrals, equations, and eigenvalue problems. Some computer proofs that will be assumed in their upper level surface integrals, Stokes’ theorem, an introduction programming is required. Credit is not given for courses. The vehicle for this is a careful study of to ordinary differential equations, and applications. both MATH 318 and MATH 423 or PHYS 333. numbers. Topics will include sets, relations, func- The course stresses careful mathematical definitions tions, the integers and integers modulo n, the and emphasizes the proofs of the standard theorems 323. Introduction to Probability rational numbers, the real numbers, cardinality and of the subject. (3-0-3) countability, sequences, convergence, completeness, Prerequisite: MATH 225 or equivalent. Cantor’s diagonalization argument, the topology of An introduction to the theory of probability, with the real numbers, and compactness. applications to the physical sciences and engineering. Topics include discrete and continuous random 225. Calculus III variables, conditional probability and independent (3-1-3.5) events, generating functions, special discrete and Prerequisite: MATH 126 or equivalent. continuous random variables, laws of large numbers, A comprehensive treatment of differential and inte- and the central limit theorem. The course empha- gral calculus of several variables. Topics include space sizes computations with the standard distributions of curves, surfaces, functions of several variables, partial probability theory and classical applications of them. derivatives, multiple integrals, line integrals, surface integrals, Stokes’ theorem, and applications. 332

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324. Mathematical Statistics 361–362. Honors Algebra III and IV 425. Complex Variables (3-0-3) (3-0-3) (3-0-3) (3-0-3) Prerequisite: MATH 323 or equivalent. Required of honors mathematics majors. Prerequisites: MATH 225 or equivalent. An introduction to mathematical statistics. Topics Prerequisite: MATH 262 or equivalent. An introduction to the theory of functions of one include distributions involved in random sampling, A comprehensive treatment of groups, polynomials, complex variable. Topics include analytic functions, estimators and their properties, confidence intervals, rings, homomorphisms, isomorphism theorems, field Cauchy integral theorems, power series, Laurent hypothesis testing including the goodness-of-fit test theory, and Galois theory. The course stresses careful series, poles and residues, applications of conformal and contingency tables, the general linear model, mathematical definitions and emphasizes the proofs mapping, and Schwarz-Christoffel transformations. and analysis of variance. of the standard theorems of the subject. 431. Theory of Numbers 325. Differential Equations 365–366. Honors Analysis I and II (3-0-3) (3-0-3) (3-0-3) (3-0-3) Prerequisite: MATH 222 or MATH 262, or Prerequisite: MATH 228. Prerequisite: MATH 266 or equivalent. equivalent. A second course in differential equations. Topics in- Required of honors mathematics majors. An ad- An introduction to elementary number theory. Top- clude higher order linear equations, numerical meth- vanced course in mathematical analysis in one and ics include the Euclidean algorithm, congruencies, ods, Laplace transforms, linear systems, non-linear several variables. Topics include an axiomatic for- primitive roots and indices, quadratic residues, systems and stability, and an introduction to partial mulation of the real and complex number systems, quadratic reciprocity, distribution of primes, and differential equations and Fourier series. compactness, connectedness, metric spaces, limits, Waring’s problem. Credit is not given for both MATH 230 and continuity, infinite sequences and series, differen- MATH 325. tiation, the Riemann-Stieltjes integral, the Stone- 432. Topics in Algebra Weierstrass theorem, the implicit function theorem, (3-0-3) 328. Probability and Statistics differential forms, partitions of unity, simplexes and Topics in algebra, number theory, and algebraic (3-0-3) chains, and Stokes’ theorem. geometry. Prerequisite: Math 225 or equivalent. (Degree credit is not given for MATH 328 and any 405. Basic Combinatorics 433. Modeling and Industrial Mathematics of the following courses: MATH 214, MATH 323, (3-0-3) (3-0-3) MATH 324). Prerequisite: MATH 225. Prerequisites: Programming knowledge and MATH An introduction to the theory of probability and An introduction to the theory of combinatorics. 230 or MATH 325 or consent of instructor. statistics, with applications to the computer sciences Topics include permutations, multinomial coeffi- An introduction to mathematical analysis and nu- and engineering. Topics include discreete and con- cients, the theory of enumerative combinatorics, merical computation used in industry today. Topics tinuous random variables, joint probability distribu- pairing problems, recurrence relations, the inclusion- are chosen from such subjects as crystal precipitation, tions, the central limit theorem, point and interval exclusion principle, graph theory, algebraic coding air quality modeling, color film development, and estimation, and hypothesis testing. theory, and symbolic dynamics. photocopy machines.

335–336. Real Analysis I and II 411–412. Topics in Computing 434. Topics in Applied Mathematics (3-0-3)(3-0-3) (3-0-3) (3-0-3) (3-0-3) Prerequisite: MATH 225 or equivalent. Topics in scientific computing, artificial intelligence, Topics in analytic and numerical methods applied to A precise treatment of fundamentals of differential computer graphics, and file processing. problems in mechanics, electrostatics, and heat flow. and integral calculus. Topics include sequences, 435. Topics in Analysis limits, continuity, differentiability, convergence 421. Introduction to Algebraic Geometry of sequences of functions, infinite series, and the (3-0-3) (3-0-3) Topics in analysis, differential equations, and mea- Riemann-Stieltjes integral. Emphasis is given to care- Prerequisites: MATH 225, MATH 221, MATH 222. ful mathematical definitions and understanding the An introduction to algebraic geometry. Topics in- sure theory. basic theorems of the subject. clude the projective line and plane over the real and complex numbers, algebraic plane curves, tangent 436. Partial Differential Equations 337. Algebra lines and singular points, fractional linear transfor- (3-0-3) (3-0-3) mations, basic elimination theory, affine varieties and Prerequisite: MATH 230 or MATH 325 or equivalent. Prerequisites: MATH 223, 221. their rings of functions, the Nullstellensatz, Groeb- An introduction to groups, rings, and fields. Topics ner bases, and the theory of symmetric functions. An introduction to partial differential equations. include permutations, divisibility, modular arithme- Topics include Fourier series, solutions of boundary tic, cryptography, cyclic and dihedral groups, La- 423–424. Numerical Analysis value problems for the heat equation, wave equation grange’s theorem, homomorphisms, ideals, integral (3-0-3) (3-0-3) and Laplace’s equation, Fourier transforms, and ap- and Euclidean domains, and extension fields. Prerequisites: Programming knowledge and MATH plications to solving heat, wave, and Laplace’s equa- 230 or MATH 325 or MATH 266 or consent of tions in unbounded domains. 338. Real Analysis instructor. 437. Topics in Geometry (3-0-3) An introduction to the numerical solution of or- (3-0-3) Prerequisites: MATH 223, 221, 126. dinary and partial differential equations. Topics A rigorous treatment of differential and integral include the finite difference method, projection Prerequisite: MATH 225 or equivalent. calculus. Topics include a review of sequences and methods, cubic splines, interpolation, numerical An introduction to geometry. Topics include non- continuity, differentiability, Taylor’s theorem, in- integration methods, analysis of numerical errors, Euclidean geometry, projective geometry, algebraic tegration, the fundamental theorem of Calculus, numerical linear algebra and eigenvalue problems, geometry of curves, finite geometries, transformation pointwise and uniform convergence, and power and continuation methods. groups in low dimensions, and the crystallographic series. Additional topics are likely and will depend groups. on the instructor. Emphasis throughout will be on careful mathematical definitions and thorough un- derstanding of basic results. 333

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438. Differential Geometry 471–472. Studies in Algebra (3-0-3) (3-0-3) (3-0-3) Physics Prerequisite: MATH 230 or MATH 325 or Topics in algebra, number theory, and algebraic equivalent. geometry. Chair: An introduction to differential geometry. Topics Ani Aprahamian include analysis of curves and surfaces in space, the 475–476. Studies in Analysis Director of Graduate Studies: first and second fundamental forms of surfaces, tor- (3-0-3) (3-0-3) Kathie E. Newman sion, curvature, and the Gauss-Bonnet theorem. Topics in analysis, differential equations, and mea- Director of Undergraduate Studies: sure theory. Margaret Dobrowolska-Furdyna 441. Computability and Logic Frank M. Freimann Professor of Physics: 477–478. Studies in Geometry (3-0-3) Walter R. Johnson (3-0-3) (3-0-3) Prerequisite: MATH 126 or equivalent. Frank M. Freimann Professor of Physics: Topics in topology, geometry and differential An introduction to formal notions of computability. Michael C.F. Wiescher geometry. Topics include finite automata, regular languages Emil T. Hofman Professor of Physics: and expressions, pushdown automata, context-free Albert-Laszlo Barabasi grammars and languages, Turing machines, primitive 497. Directed Readings (V-0-V) Aurora and Tom Marquez Professor of Physics: recursive and μ-recursive functions, Church’s Thesis, Jacek K. Furdyna and absolutely unsolvable problems. For mathe- Prerequisite: Consent of director of undergraduate studies in mathematics. Professors: matics majors, credit is not given for both MATH Ani Aprahamian; Gerald B. Arnold; 441 and CSE 411. 499. Thesis H. Gordon Berry; Ikaros I. Bigi; 461–462. Algebraic and Analytic Number Theory (V-0-V) Howard A. Blackstead; Samir K. Bose (3-0-3) (3-0-3) Prerequisite: Consent of director of undergraduate (emeritus); Cornelius P. Browne (emeritus); Prerequisites: MATH 362 and 366 or equivalent. studies in mathematics. Bruce A. Bunker; Neal M. Cason; An introduction to algebraic and analytic number Seniors in the Honors Mathematics Program have Paul R. Chagnon (emeritus); Sperry E. Darden theory. Topics include quadratic reciprocity, dio- the option of writing a senior thesis on a more ad- (emeritus); Margaret Dobrowolska-Furdyna; phantine equations, continued fractions, algebraic vanced subject than is provided in the normal under- Stefan G. Frauendorf; Emerson G. Funk numbers, the Dirichlet unit theorem, quadratic, graduate courses. A program of readings on the topic (emeritus); Umesh Garg; Anthony K. Hyder; cyclotomic extensions, primes in progressions, and must be begun with a faculty advisor by the spring Gerald L. Jones; V. Paul Kenney (emeritus); the prime number theorem. semester of the junior year. James J. Kolata; A. Eugene Livingston; John M. LoSecco; Eugene R. Marshalek The following graduate courses are suitable for ad- 463–464. Probability (emeritus); Grant Mathews; vanced undergraduates in science and engineering. William D. McGlinn (emeritus); James Merz; (3-0-3) (3-0-3) 513–514. Topics in Applied Mathematics John W. Mihelich (emeritus); Prerequisite: MATH 366 or consent of instructor. 517–518. Numerical Analysis Kathie E. Newman; John A. Poirier (emeritus); A high-level introduction to the theory of prob- 521–522. Partial Differential Equations ability. Topics include measure theory, probability Terrence W. Rettig; Randal C. Ruchti; 525–526. Mathematical Methods space, independence, random variables, combinat- Steven T. Ruggiero; Jonathan R. Sapirstein; Certain graduate courses in mathematics are open orial probability, limit laws, and Markov chains. William D. Shephard (emeritus); to qualified advanced undergraduates, subject to the Walter J. Tomasch (emeritus); approval of the director of undergraduate studies. 465–466. Complex Analysis Mitchell R. Wayne Other graduate courses are described in the Graduate (3-0-3) (3-0-3) Associate Professors: School Bulletin of Information. Prerequisite: MATH 366 or equivalent. Peter M. Garnavich; Boldiszar Jankó; A high-level introduction to the theory of functions Christopher F. Kolda; Paul E. Shanley of one complex variable. Topics include analytic (emeritus); Carol E. Tanner functions, Cauchy’s theorem, Taylor series, Laurent Assistant Professors: series, singularities, residue theory, conformal map- Dinshaw Balsara; Philippe Collon; ping, analytic continuation, Riemann surfaces, entire Morten Eskildsen; Anna Goussiou; functions, and meromorphic functions. Michael D. Hildreth; Colin Jessop

468. Topology Program of Studies. Physics is the study and the (3-0-3) description of the structure and the behavior of the Prerequisites: MATH 222 and 225 or equivalent. physical universe. As such, it is fundamental to all An introduction to topology. Topics include the physical sciences, pure and applied. A knowledge of theory of surfaces, knot theory, and the theory of physics is basic to an understanding of astronomy, metric spaces. chemistry, geology and even biology in that physics contributes to the interpretation and detailed de- 469. Topics in Mathematical Logic scription of many of the natural phenomena which (3-0-3) constitute the proper subjects of investigation in Prerequisite: MATH 126 or equivalent. these sciences. An introduction to mathematical logic. Topics in- In addition to the undergraduate curricula, the clude model theory, computability theory, and set Department of Physics offers programs for graduate theory. study leading to the degrees of master of science and doctor of philosophy, as described in the Graduate School Bulletin of Information. 334

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Bachelor of Science with a Major in Physics. SUMMARY OF REQUIREMENTS FOR THE DEGREE OF BACHELOR OF SCIENCE IN PHYSICS The physics curriculum at Notre Dame consists of Career Applied Physics and Physics in Physics five course sequences or programs. These programs are designed to accommodate the academic and pro- Program Physics Computing Medicine Education fessional interests of the majority of physics majors. Students with alternative interests are encouraged to Mathematics 11.5–14.5 11.5–14.5 11.5–14.5 11.5–14.5 11.5–14.5 discuss special programs with the departmental chair. Physics 51–54 36–51* 39–42* 39-–42* 39–42* All physics majors take the following basic sequence of courses: Chemistry 8 8 8 16 8 General Physics (PHYS 151, 151L, 152, 152L, 253, 253L) Biology — — — 11 4** Mechanics I (PHYS 252) Mathematical Methods in Physics (PHYS Language Intermediate Level 271, 272) Sophomore Seminar (PHYS 247) FYC 110 3 3 3 3 3 Modern Physics (PHYS 260, 361) Electricity and Magnetism (PHYS 356) Philosophy+ 6 6 6 6 6 Junior Seminar (PHYS 347) Modern Physics Lab I (PHYS 442) Theology+ 6 6 6 6 6 Senior Seminar I (PHYS 447) General Chemistry (CHEM 117, 118) History+ 3 3 3 3 3 Mathematics (MATH 125, 126, 225, or MATH 165, 166, 265, and 266) Social Sciences+ 3 3 3 3 3 Physics or Mathematics three-credit elective (as defined below) Literature/Fine Arts+ 3 3 3 3 3

In addition to the basic sequence of courses, the fol- Education — — — — 33 lowing courses are required for each program. Computing Science — — 15 — — Career Program The Career Program is designed for students who in- Electrical Engineering — 3–15 — — — tend to do graduate work in physics or in astronomy, or who intend to seek employment as professional Free Electives 17.5++ 17.5++* 14.5++* 10.5++ 0++ physicists at the bachelor level. 124 124 124 124 131.5 In addition to the physics core courses, majors in * the career program are required to complete the ad- Students must take a minimum of 60 credit hours in science. ditional following courses: ** Or any science other than mathematics or physics. Thermal Physics (PHYS 352) + One of these courses must be a University Seminar 180. Electromagnetic Waves (PHYS 357) Modern Physics Lab II (PHYS 443) ++ Assumes intermediate-level competency in language was achieved by taking three three-credit courses. Quantum Mechanics I (PHYS 453)

The other physics or mathematics three-credit elec- General Biology A and B (BIOS 201, 201L, tive is selected with the advisor’s consent from the sor and the chair of the CSE department, arrange and 202, 202L) following: MATH 425, and physics courses num- an individualized course sequence. Physics 333, Nu- Genetics (BIOS 303) bered 212, 231–299, 331–399, 403, or 431–489. merical Methods, is a recommended physics elective Organic Chemistry I and II (CHEM 223, Students are strongly encouraged to follow the for students in this program. 223L, 224, and 224L) sample curriculum that follows. Thermal Physics (PHYS 352) is a recommended Applied Physics Program (The required physics or mathematics three-credit elective for this program. Additional electives rec- In addition to the physics core courses, the Applied elective for the other physics programs is to be ommended to augment this program are BIOS 341. Physics Program requires at least 15 additional cred- selected with the advisor’s consent from the addi- Cell Biology, BIOS 344. Physiology, CHEM 420. its, to be selected with the advisor’s approval from tional required courses for physics career majors or Biochemistry, and PHYS 421. Medical Physics. the following. These may include any of the physics from the physics and mathematics three-credit and mathematics elective courses listed above and Physics and Computing Program elective list for the Physics Career Program.) any courses offered by the Department of Electrical Students interested in concentrating in computer sci- Engineering that deal with electrical properties of Physics-in-Medicine Program ence while obtaining a major in physics may choose materials. Classes include, but are not restricted to, Students in this program may prepare for profes- the Physics and Computing Program. In addition Electrophysics I and II (EE 347 and 357), Electronic sional schools in medicine, medical physics, bio- to the physics core courses, these students will com- Transport Theory (EE 466) and Electronic Prop- physics, etc., with appropriate selection of electives. plete at least 15 credit hours in the Department of erties of Materials (EE 476). In addition to the physics core courses, majors in Computer Science and Engineering. Students may physics-in-medicine must complete the following choose from among four standard course sequences courses, which total 19 credit hours. or alternatively may, with the consent of their advi- 335

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Physics Education Program Sophomore Year 101–102. Concepts of Physics I and II In addition to the physics core courses, majors in the First Semester (3-0-3) (3-0-3) Physics Education Program must complete the fol- PHYS 253, 253L 4 This course is intended for students who will not lowing courses, which total 33 credit hours. MATH 225 3.5 be majoring in science or in engineering. A study of PHYS 271, 271T 3.5 some of the major concepts and laws of classical and (Education courses are offered at Saint Mary’s PHYS 247 1 modern physics, in some historical context, provides College): Language 3 the student with a foundation for understanding, EDUC 201F: Teaching in a Multicultural Philosophy or Theology 3 at a conceptual level, the natural phenomena, and Society ______technological devices encountered in everyday expe- EDUC 220. Applied Media and Instructional 18 rience. PHYS 101 will include a study of motion and Technology Second Semester Newton’s laws, momentum and energy, the structure EDUC 340. Curriculum and General PHYS 252 3 of matter, thermodynamics, and relativity. PHYS Methods for Secondary School Teaching PHYS 260 4 102 will cover wave motion, electromagnetism, EDUC 350. Educational Psychology: Human PHYS 272, 272T 3.5 light, and the quantum nature of the atomic and Growth and Development of the Adolescent Language 3 subatomic world. PHYS 101 is not a prerequisite for EDUC 356. Educational Psychology: Philosophy or Theology 3 PHYS 102. This course fulfills the University science Educating Exceptional Leaders ______requirement. EDUC 404. Reading in the Content Area 16.5 EDUC 449. Teaching Science in the Junior Year 104. Concepts of Energy and the Environment Secondary School First Semester (3-0-3) EDUC 475. Student Teaching in the PHYS 352 3 Prerequisite: A working knowledge of high school Secondary School (spring of senior year) PHYS 356 3 algebra. PHYS 361 4 A course developing the basic ideas of energy and Furthermore, majors in the physics education pro- PHYS 347 1 power and their applications. The fossil fuels are con- gram must complete a minimum of four additional Language 3 sidered together with their limitations, particularly as credits selected, with the advisor’s approval, from ______related to global warming, pollution and their nonre- courses offered in the College of Science, outside 14 newable character. The advantages and disadvantages the departments of physics and mathematics or in Second Semester of nuclear power are studied and compared with geological sciences. PHYS 331 3 alternative energy sources such as solar energy, wind, and geothermal and hydroelectric power. Various Physics As a Second Major PHYS 333 3 aspects of energy storage and energy conservation The requirement for physics as a second major, for PHYS 357 3 are also considered. This course is designed for the students in the colleges of engineering, arts and let- MATH 425 3 non-specialist. It is open to first-year students only. ters or business, consists of the physics core courses Literature or Fine Arts 3 It satisfies one semester of the University science listed above, except General Chemistry. To list phys- ______requirement, but PHYS 104 and PHYS 204 may not ics as a second major on the transcript, the student 15 both be counted toward that requirement. must satisfy all of the requirements for a major in Senior Year First Semester some other department and college of the University. 105. Science Literacy PHYS 485 3 Sample Curriculum (Career Program): (3-0-3) PHYS 442 3 First Year PHYS 447 1 Prerequisites: None. First Semester PHYS 453 3 A course emphasizing science literacy that provides FYC 110 3 Elective 3 the tools for a basic understanding of scientific devel- MATH 125 4 Philosophy or Theology 3 opments and their potential consequences. Devel- PHYS 151, 151L 4 ______opments in many areas of science will be discussed, 1 including biology, chemistry, mathematics, engineer- History or Social Science 3 16 ing, and computer science, with the view that basic CHEM 117 4 Second Semester physics serves as a common thread between them. Physical Education or ROTC 0 PHYS 443 3 Topics covered include the mechanisms of scientific ———— PHYS 481 3 discovery, the impact of scientific discoveries on 18 PHYS 454 3 society, science, and ethics, how scientific research is Second Semester Electives 6 1 supported, and the tools of contemporary science. Philosophy or Theology 3 ______The course focuses on concepts rather than formulas MATH 126 4 15 and concentrates primarily on examples taken from PHYS 152, 152L 4 1The student should take three general requirement 1 contemporary science. Material includes the review History or Social Science 3 courses during the first year, including one course that is of articles from sources such as Nature, Science, and CHEM 118 4 designated a University Seminar 180. Physical Education or ROTC 0 Scientific American. ______Physics Course Descriptions. The following course This course satisfies one semester of the Uni- 18 descriptions give the number and title of each versity science requirement. If taken by science or course. Lecture hours per week, laboratory and/or engineering students, this course counts as a general tutorial hours per week, and credits each semester are elective. in parentheses. 336

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110. Descriptive Astronomy (3-0-3) Prerequisites: Three units of high school algebra and geometry. One unit of high school science. A description of the motions and structure of the earth, moon and planets. An exposition of the modern theories of solar and stellar structure, neb- ulae, and galaxies. Basics of stellar evolution, black holes, quasars and other recent developments. An introduction to cosmology. This course includes elementary observational projects. The course fulfills one semester of the University science requirement.

115–116. Principles of Physics I and II (3-0-3) (3-0-3) Prerequisites: A knowledge of algebra and trigo- nometry and the ability to use them in solving prob- lems. High school chemistry is recommended. PHYS 115 is a prerequisite to PHYS 116. A course intended for students who desire a grounding in all the major principles of physics but who plan to major in some area other than science or engineering. The ability to apply these principles to the solution of problems is a major goal of the course. The following topics are normally included. Kinematics and dynamics of a particle, work, energy, momentum, harmonic motion, gravitation, and circular orbits. Wave motion, interference, standing waves, the Doppler effect. Temperature, heat, first law of thermodynamics, kinetic theory of gases. Electric charge, Coulomb’s law, electric field and potential, current, resistance, DC circuits. Mag- netic force, electromagnetic induction. The nature of light, the spectrum. Photons, photoelectric effect, Compton scattering, deBroglie waves, energy levels, X-rays. Nuclei and radioactivity. Special relativity. Additional material will be at the discretion of the instructor. The division between PHYS 115 and 116 will depend on the order of presentation. This course fulfills the University science requirement.

Randal C. Ruchti, professor of physics

131–132. General Physics I and II 151–152. General Physics I-M and II-M (4–1-4) (4–1-4) (4-2-4) (4-2-4) Prerequisites for PHYS 131. High school chemistry Prerequisites for PHYS 151. High school chemistry and physics and three-and-one-half units of and physics, and three-and-one-half units of mathematics. mathematics. Corequisite for PHYS 131. MATH 125 or Corequisite for PHYS 151. MATH 125 or equivalent. equivalent. Prerequisites for PHYS 152. PHYS 151 or 131, and Prerequisites for PHYS 132. PHYS 131 or 151, and MATH 125. MATH 125. Corequisite for PHYS 152. MATH 126 or equivalent. Corequisite for PHYS 132. MATH 126 or equivalent. The first two semesters of a three-semester sequence A two-semester sequence in general physics. Topics in general physics. Topics include the kinematics include the kinematics and mechanics of a particle; and mechanics of a particle; work, energy and mo- work, energy and momentum, and associated mentum, and associated conservation laws; rotation, conservation laws; rotation, torque and angular torque and angular momentum; oscillations and momentum; oscillations and wave motions; elec- wave motions; electrostatics, electric current and tro- statics, electric current and circuits; magnetism, circuits; magnetism, electromagnetic induction and electromagnetic induction and waves; geometrical waves; geometrical optics. A course designed for stu- optics. A course designed for students of science dents intending to enter the Department of Physics. and engineering. Laboratory meetings in alternating Laboratory meetings each week. weeks only. Weekly tutorial sessions. 337

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171. Elementary Cosmology 176. Technological Risk 204. Energy and Society (3-0-3) (3-0-3) (3-0-3) Prerequisites: High school physics and algebra. Prerequisites: None. Prerequisite: A working knowledge of high school An elective course for students planning to major A survey of risk issues in our technological society. algebra. in the colleges of arts and letters or business. It is Topics include the perception, measurement, as- A course developing the basic ideas of energy and designed to acquaint the non-mathematically-in- sessment, management and politics of technological power and their applications from a quantitative clined student with the most important discoveries risk, together with a discussion of possible ethical and qualitative viewpoint. The fossil fuels (coal, oil, in physics of the last few decades and how they have bases for risk/benefit analysis. Case studies will natural gas) are studied together with their societal altered our perceptions of the origin and structure of include highway safety, air transportation, chemical limitations (pollution, global warming, diminishing the universe. This course examines such questions as: carcinogenesis, fossil fuels (including global warm- supply). Nuclear power is similarly studied in the “Where did the universe come from?” “Why do sci- ing and ozone depletion issues), and ionizing and context of the societal concerns that arise (radiation, entists feel sure that it was born in a cosmic fireball non-ionizing radiation (from high-level radioactive reactor accidents, nuclear weapons proliferation, called the Big Bang?” and “Where did the Big Bang waste to electric blankets). This course is intended high-level waste disposal). The opportunities as well itself come from?” This is a reading-intensive course for students planning to major in the colleges of arts as the risks presented by alternative energy resources, based on popularizations of science written for the and letters or business and satisfies one semester of in particular solar energy, wind, geothermal and curious and intelligent layperson. The emphasis will the University science requirement. hydropower, together with various aspects of energy be on class discussion of the readings. One book re- conservation, are developed and discussed. This port and a term paper are required in addition to ex- 178. Physical Methods in Art and Archaeology course is designed for the non-specialist and satisfies aminations. This course satisfies one semester of the (3-0-3) Wiescher one semester of the University science requirement. University science requirement. If taken by science Prerequisite: High school physics and algebra. students, this course counts as general elective credit. A course that gives an overview of the various 205. Nuclear Warfare physics-based analysis and dating techniques used (1-0–1) 172. Topics in Biophysics in art and archaeology. The course will cover topics Prerequisite: none. (3-0-3) such as X-ray fluorescence and X-ray absorption, Nuclear phenomena; nuclear fission and fusion. Prerequisites: High school physics and mathematics. proton-induced X-ray emission, neutron-induced Nuclear weapons. Effects of blast, shock, thermal This course provides an overview of how the laws activation analysis, radiocarbon dating, accelera- radiation, prompt and delayed nuclear radiation. of physics can be used to explain biological systems tor mass spectroscopy, luminescence dating, and Fire, fallout, ozone-layer depletion, electromagnetic and of the physical principles that underlie modern methods of archeometry. Multiple examples of the pulse, “nuclear winter.” Medical consequences, phys- imaging techniques (MRI, CAT, etc.). Examples to use of the techniques in art and archaeology will be ical damage, effects on the individual and on society. be discussed include bioelectrical processes, e.g., the given, e.g., under X-ray techniques and accelerator Defensive measures and their feasibility. Scenarios heart, transport across cell membranes, and electro- mass spectrometry, the analysis of ancient coins and for war and peace, proliferation of nuclear weapons sensing by eels. Vision, hearing, blood circulation, violin varnish and the Iceman and the Turin Shroud material, recent diplomatic history. U.S. Bishops’ and respiration are explained as biophysical pro- are used respectively as examples. Physics principles Pastoral Letter. The course is open to all students and cesses. The course presents principles in a descriptive of the methods and techniques will be taught in a counts for science majors as a general elective credit. manner; no previous formal study of biology is descriptive manner. This course is intended for stu- required or assumed. dents in arts and letters or business and satisfies one 210. Descriptive Astronomy For students majoring in the College of Arts and semester of the University science requirement. If (3-0-3) Letters or the Mendoza College of Business, this taken by science or engineering students, this course Prerequisites: Three units of high school algebra and course satisfies one semester of the University science counts as general elective credit. geometry. One unit of high school science. requirement. For other students, this course counts A description of the motions and structure of the as a general elective. 192. Modern Physics from Quarks to Quasars earth, moon and planets. An exposition of the (3-0-3) Kolda modern theories of solar and stellar structure, neb- 174. Physics of Music and Sound Reproduction Restricted to first-year arts and letters intents in the ulae and galaxies. Basics of stellar evolution, black (3-0-3) Honors Program. holes, quasars and other recent developments. An Prerequisites: High school algebra, geometry, and This course emphasizes themes of modern physics introduction to cosmology. Includes elementary trigonometry. and will be organized around the concepts of sym- observational projects. The course is open to all The physics of sound reproduction, including the metry and physical laws. For example, how do sym- students. It fulfills one semester of the University acoustical and electronic production and repro- metries observed in nature lead to fundamental laws science requirement. The courses PHYS 110 and duction of sound. The course will include basic of conservation of energy and momentum? Examples PHYS 210 are the same course. If taken by science Newtonian mechanics, oscillating systems, wave from areas of modern physics such as cosmology and or engineering students, this course counts as general motion, sound, Fourier synthesis, musical acoustics astrophysics are used to bring these topics to life. We elective credit. of various instruments, introduction to electricity consider questions such as: “What happens if one and magnetism, and the physics of microphones, travels alongside a beam light?” (which leads us into loudspeakers, phonographs, tape recording, digital special relativity); “Why is the night sky so dark?” compact discs and electronic synthesizers. This (the big bang); “What is matter?”; “What is mass”; course satisfies one semester of the University science “What are forces?” The course is a mix of lecture, requirement. If taken by science or engineering stu- discussions, and lab/demonstrations. dents, this course counts as general elective credit. 338

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212. Scientific Programming 260. Modern Physics I 310. Topics in Astronomy and Astrophysics (3-0-3) (Formerly numbered 431) (3-0-3) Prerequisite: PHYS 152 or equivalent. (4-0-4) Prerequisite: PHYS 222 or 231 or 253. The principal goal of this course is to develop a good Prerequisite: PHYS 253 and PHYS 271. This course is designed to provide undergraduate level of competence and experience in the use of Corequisite: PHYS 272. science and engineering majors in any department computers as a tool for scientific studies. The course Special relativity, foundations of quantum concepts. a fundamental background in current topics of is intended primarily for physics majors. Topics Properties of atoms. Interactions of electromagnetic astronomy and astrophysics. Astronomy is a science covered will include (1) the FORTRAN language, fields with atoms. Wave mechanics and the Schroed- that uses physics to interpret astronomical events. (2) graphical presentation of results including user- inger equation. Atomic structure and atomic spectra. This field is rapidly developing. Each year brings written programs and graphics packages, (3) the use Atomic wave functions. Fine structure and Zee- an increased number of significant and exciting of scientific libraries of sub- routines, (4) the use of man effect. Multiplet analysis. Exclusion principle, discoveries based on data from a variety of space- other scientific programs such as algebraic manipul- periodic table and spectra of multielectron atoms. craft, rockets, balloons and a whole new technology ators, (5) the use of spreadsheets for problem solving, Introduction to the statistical physics of quantum of ground-based observatories and detectors. The etc. Course-work will include the use of high-end mechanical systems. course will provide quantitative insights into astro- UNIX workstations. physical topics of interest such as the structure and 271–272. Mathematical Methods in Physics I and II evolution of stars, the dynamics of cosmic gases, 221–222. Physics I and II (3-1-3.5) nucleosynthesis, black holes, galaxy formation, cos- (3-2-4) (3-2-4) Prerequisite for PHYS 271. MATH 126 or equivalent mology, the missing mass problem, the size and mass Prerequisites for PHYS 221. MATH 119 and 120, or Corequisite for PHYS 271. MATH 225 or equivalent of cosmic objects, the large-scale behavior of the uni- MATH 125 and 126. Prerequisite for PHYS 272. Phys 271 verse, quasars, evolution of the solar system and the Prerequisites for PHYS 222. PHYS 221 or equivalent. A study of methods of mathematical physics. Topics search for planetary systems around other stars. Each The basic principles of mechanics, fluid mechanics, include matrices, linear algebra (including matrices topic will be developed and evaluated along with the thermal physics, wave motion, sound, electricity, and determinants), vector and tensor analysis, vec- most recent work in these areas. This is an approved magnetism, optics and modern physics. Primarily for tor calculus, curvilinear coordinates, series, ordinary science elective. students in the life sciences. differential equations, partial differential equations, orthogonal functions and vector spaces, special func- 331. Lasers and Modern Optics 231. General Physics III tions (including Bessel, Legendre, and Hermite), cal- (2-3-3) (3-1-3.5) culus of variations, Fourier series, and group theory. Prerequisite: PHYS 231 or 253. Prerequisites: PHYS 132 or 152, MATH 126. Weekly tutorial sessions. Principles and practical aspects of laser operation and Corequisite: MATH 225 or equivalent. Students taking the PHYS 271–272 sequence cannot applications in modern optics. Propagation of plane A third semester in general physics. Topics include get credit for MATH 228, 230, or 325. electromagnetic waves. Diffraction and interference (1) interference and diffraction; (2) quanta and the of light. Gaussian beam propagation and optical wave-particle duality; (3) introduction to quantum 309. Philosophical Issues in Physics resonators. Theory of laser oscillation. Gas, solid, mechanics; (4) atomic, nuclear and particle physics; (3-0-3) semiconductor and dye lasers. Detectors of optical (5) physics of the solid state; (6) astrophysics and Prerequisite: One year of general physics at the col- radiation. Nonlinear optics. Applications in research cosmology. A course designed for students of science lege level. and industry. Laboratory exercises include polar- and engineering. Laboratory meetings in alternating This course is intended for non-science students ization, interference, Fourier optics, holography, gas, weeks only. who desire to begin an examination of the origins of diode and turnable lasers, harmonic generation. A the modern laws of physics and for science students course primarily intended for physics majors. 247. Sophomore Seminar who wish to know the actual route to the discovery (1-0–1) and the broader implications of the formal theories 333. Numerical Methods A discussion of current topics in physics by staff with which they are already familiar. The historical (3-0-3) members. background to and philosophical questions asso- Prerequisites: PHYS 212 or a knowledge of program- ciated with major laws of physics will be discussed, ming, MATH 228, PHYS 272, or equivalent, and a 252. Intermediate Classical Mechanics in large measure by examining directly relevant calculus-based course in general physics. (3-0-3) excerpts from the writings of some of the creators of Elements of numerical analysis: functional equations, Prerequisite: PHYS 253 and 271 seminal concepts and theories in physics. The latter polynomial approximations, numerical differen- Corequisite: PHYS 272 part of the course will concentrate on historical and tiation, numerical integration. Numerical solution Newtonian mechanics of particles in one, two and philosophical issues related to relativity and espe- of differential equations: first-order equations, initial three dimensions; oscillations; non inertial reference cially to quantum theory and its interpretation. This value determination, applications to mechanics and frames; gravitation, central forces; systems of parti- course is accepted as a science elective in the College electricity, eigenvalue problems for second-order cles; kinematics and dynamics of rigid body motion; of Science. linear differential equations. Elementary methods Lagrangians; Hamilton’s equations. for solving partial differential equations: relaxation methods, variational methods. This course is in- 253. General Physics III-M tended primarily for physics majors but is open to (4-2-4) students from other departments who have adequate Prerequisites: PHYS 152 or equivalent and MATH backgrounds in mathematics and physics. Credit is 126. not given for both PHYS 333 and MATH 318. Corequisites: MATH 225 or equivalent. The third semester of a three-semester course in general physics. Topics include classical thermody- namics, fluids and acoustics; interference and diffrac- tion; special and general relativity; introduction to quantum physics. The course is intended primarily for sophomore physics majors but is open to other qualified students. Laboratory meetings each week. 339

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347. Junior Seminar 421. Medical Physics 481. Relativity: Special and General (1-0–1) (3-0-3) (3-0-3) A discussion of current topics in physics by staff Prerequisite: A one-year course in college physics. Prerequisite: PHYS 356, PHYS 361. members. Topics involving the applications of physics in medi- An introduction to relativity, both special and gen- cine and biology are selected from the following: eral. Special relativity: Lorentz transformations of 351. Mechanics II external and internal forces on the body; heat and events, geometry of space-time, relativistic kinetics (Formerly numbered 251) temperature equilibrium; physics of hearing; phys- (energy-momentum), Lorentz transformations of (3-0-3) ics of vision; nerve conduction; muscle contraction; electromagnetic fields. General relativity: gravity and Prerequisite: PHYS 252. electric potentials of the brain; physics of cardio- light, principle of general covariance, Einstein’s field Conservation laws for systems of particles; coupled vascular and pulmonary systems; ionizing radiations equations, Schwarzchild solution, precession of peri- oscillations; rotating coordinate systems; one-dimen- and their effects; nuclear medicine; radiotherapy; helions of planets, deflection of light, black holes. sional wave motion; gravitation; kinematics and dy- physics of some biological instruments. An elective namics of rigid body motion; Lagrange’s equations. course for preprofessional students, but open to 485. Astrophysics other students. (3-0-3) 352. Thermal Physics Prerequisites: PHYS 356, PHYS 361. (3-0-3) 432. Biological Physics A study of the physical problems associated with Prerequisite or Corequisite: PHYS 361. (3-0-3) stellar motions; energy generation and radiation; Physical thermodynamics, kinetic theory and an Prerequisites: PHYS 131 and 132; or PHYS 221 and astronomical distances; celestial mechanics; galactic introduction to statistical mechanics. 222 and BIO161 or 201 dynamics; cosmic rays; interstellar matter; thermo- The functioning of cells at the molecular level will dynamics; and equations of state of various stellar 356. Electricity and Magnetism be discussed on the basis of basic physics principles models. Observational techniques and methods of (3-0-3) including Newtonian mechanics, thermodynamics, computation will be discussed. An elective course for Prerequisites: PHYS 252 or 250. statistical mechanics, and electrical transport. The senior physics majors and other qualified students. Prerequisite or Corequisite: PHYS 272 or MATH course covers diverse topics including cell energy bal- 325. ance, molecular machines, nerve impulse propaga- 497. Directed Readings Electro- and magnetostatics. Laplace’s and Poisson’s tion, self-assembly; electrical properties of molecules. (0-V-V) equations. Boundary value problems. Multipole This is an approved science elective. Prerequisite: Permission of department chair and fields. Dielectric and magnetic phenomena. Max- individual instructor. well’s equations. 442–443. Modern Physics Laboratory I and II Study of topics not covered or only briefly covered (1-4-3) in other courses. Readings, problems and reports. 357. Electromagnetic Waves Prerequisite: PHYS 361. May include laboratory work not encompassed by (3-0-3) A laboratory course stressing experiments in atomic, PHYS 499. Prerequisite: PHYS 356. nuclear and solid-state physics. The course is de- Study of electromagnetic waves. Physical optics. Ra- signed to introduce the student to experiments and 498. Undergraduate Research diation from accelerating charges. Some topics from methods closely related to modern-day research. (0-V-V) the special theory of relativity. Students will be introduced to the fundamentals of Prerequisite: Requires permission of the physics de- semiconductor devices and the construction and use partment chair and the student’s department chair. 361. Modern Physics II of such devices. Research in collaboration with members of the (4-0-4) faculty. Three to 15 hours each week, arranged indi- Prerequisite: PHYS 260. 447. Senior Seminar vidually for each student. One to five credits. Prerequisite or Corequisite: MATH 325. (1-0–1) A continuation of Modern Physics I. Topics in quan- A discussion of current topics in physics by students Certain graduate courses in physics are open to tum physics. Molecular bonding and spin valence. and staff members. qualified advanced undergraduates, subject to the Molecular spectra. Bonding, energy levels and band approval of the chair of the department. These structure in solids. Ionic crystals, metals and semi- 453–454. Introduction to Quantum Mechanics I courses are listed in the Graduate School Bulletin of conductors. Thermal, electric, magnetic and optical and II Information. properties of solids. Quantum numbers of particles, (3-0-3) (3-0-3) basic forces, the particle zoo. Stable nuclei, nuclear Prerequisite: PHYS 361. structure and models, nuclear decay and reactions, The experimental basis for the wave picture of energy levels, fission, fusion. Particle scattering. matter and the fundamental ideas of quantum me- Production, detection and properties of elementary chanics. An elective course for senior physics majors. particles. 471–472. Topics in Contemporary Physics I and II 403. Methods of Theoretical Physics (3-0-3) (3-0-3) (3-0-3) A treatment in depth of selected topics and problems Prerequisite: MATH 325. of current interest in physics. A study of the methods of mathematical physics. Topics include linear vector spaces, matrices, group theory, complex variable theory, infinite series, spe- cial functions, and differential equations. 340

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Students planning to enter the profession of den- Junior Year Preprofessional Studies tistry will have a program of courses that will satisfy First Semester Chair: the requirements for admission to any dental school. Science Elective** (Note 3) 4 Rev. Joseph L. Walter, C.S.C.. Ph.D. The aptitude test administered by the American Physics (PHYS 221, 221L) 4 Professional Specialist: Dental Association is given at Notre Dame twice Language or Elective 3 Rudolph M. Navari, M.D., Ph.D. each year. Philosophy or Elective 3 Science Elective 3 Assistant Professional Specialist: Bachelor of Science with a Major Rev. James K. Foster, C.S.C., M.D. ——— in Preprofessional Studies — 17 Premedical Science Sequence Program of Studies. The Department of Prepro- Second Semester (124 semester hour credits; 64 Science Elective** (Note 3) 3 fessional Studies offers several programs in the two science hour credits, minimum) major sequences, namely the program sequence in Physics (PHYS 222, 222L) 4 premedical science studies and the programs in the Electives 9 First Year Collegiate Sequence. ——— First Semester All of the programs are quite flexible and allow 16 FYC 110 English Composition 3 the student to design a curriculum, in consultation Senior Year MATH 119 4 with the chair or the associate dean in the College First Semester CHEM 117 4 of Science, in order to enable the student to enter Science Elective** (Note 3) 3 History or Social Science* 3 the profession best suited for his or her talents. The Science Elective** (Note 3) 4 Philosophy or Theology* 3 program in premedical science studies enables the Philosophy or Theology or 300-level English Physical Education or ROTC — student to obtain an excellent preparation to enter Literature (Note 6) 3 ——— any of the professions of medicine, dentistry or the Electives 6 17 other ancillary fields of the healing professions. The ——— Second Semester interdisciplinary programs of the collegiate sequence 16 Philosophy or Elective* 3 have been designed to offer significant flexibility to Second Semester MATH 120 4 prepare students for the professions of Science-edu- Science Elective** (Note 3) 4 CHEM 118 4 cation, Science-business, and Science-computing. Theology (Medical Ethics) 3 History or Social Science* 3 All of the programs allow for a strong science back- Elective 3 University Seminar 180J* 3 ground while also allowing a diverse background in Science Elective** (Note 3) 3 Physical Education or ROTC — the arts and humanities for individuals with a desire ——— ——— to obtain a broad educational background. 13 17 The major goal of this department is to provide * One of these courses must be a University Seminar Sophomore Year an education in the best of liberal traditions of sci- 180, and 180J is recommended (see note 6). First Semester entific thought and analysis, which the student can ** See note 3. CHEM 223. Elementary utilize for career opportunities in a variety of fields. Organic Chemistry I 3 Notes: The program sequence in premedical science CHEM 223L: Elementary 1. All course instruction in the curricula of the studies is a special program within the Department Organic Chemistry Lab I 1 Department of Preprofessional Studies is provided of Preprofessional Studies for students preparing to BIOS 201. General Biology A 3 by other departments in the College of Science and enter the professions of medicine, dentistry, oste- BIOS 201L: General Biology A Lab 1 other colleges of the University. opathy, veterinary medicine, podiatry, optometry or Elective 3 2. The elective courses in the senior year may in- several of the allied-health professions. Language 3 clude a thesis based on laboratory work performed Notre Dame has been recognized as an accredited ——— in a registered course in a given department with institution for premedical studies for more than 100 14 the approval of the head of that department, who years. A proper selection of courses leading to the Second Semester will specify the number of credits assigned to the degree of bachelor of science will qualify the student CHEM 224. Elementary thesis. for admission to any medical school in the world. Organic Chemistry II 3 ** 3. The choice by the student of elective courses in A year before his or her expected entrance to medi- CHEM 224L: Elementary science for the program in preprofessional studies cal school, the student takes the Medical College Organic Chemistry Lab II 1 will be based upon the requirements of the pro- Admission Test, which is given twice a year at several BIOS 202. General Biology B 3 fessional schools and upon the lists of courses sug- hundred sites throughout the country, including BIOS 202L: General Biology B Lab 1 gested or recommended by those schools in which Notre Dame. Students taking this test should have Elective 3 the student is interested; the choice will be based completed the basic courses in chemistry, biology Language 3 also upon the advice and counseling of the chair and physics. The curricula leading to the degree of ——— of the department. From the Medical and Dental bachelor of science in the departments of biology 14 School Requirements Books, the following courses, and chemistry also satisfy the requirements for ad- in order of frequency of appearance, would be the mission to any medical school. most highly recommended in addition to the five Information concerning the requirements for ad- basic science courses, giving the student applicant mission to schools of medicine, dentistry, osteopathy, the best science background to be a most attractive veterinary medicine, optometry and podiatry, as well candidate to any school to which he or she wishes as information on several ancillary health careers, is to apply: genetics, analytical chemistry, develop- available from the office of the Department of Pre- mental biology, biochemistry, physical chemistry, professional Studies, 239 Nieuwland Science Hall. physiology, cell biology, and microbiology. Addi- tional courses in higher mathematics, statistics and computer science are recommended for qualified 341

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history and social science, English and the 27 gen- SUMMARY OF MINIMAL REQUIREMENTS FOR THE DEGREE OF BACHELOR OF SCIENCE IN eral elective credits “to be an informed participant A COLLEGEIATE SEQUENCE MAJOR in contemporary society by understanding its poli- tics, history and economics. To appreciate the many Science-Business Science-Computing Science-Education dimensions of human experience requires informed Program Program Program reflection upon the literature, the philosophy and the arts . . . of all people in our society.” Biological Sciences 8 8 8 6. To fulfill the medical school requirements of two semesters of English, students are required to take Chemistry 8 8 8 FYC 110 (Composition) and one literature course taught in English. The literature course can be Geology/Organic Chemistry 8 8 8 either a University Seminar 180J or a 300-level lit- erature course offered by the English Department. Mathematics 8 8 8 Thus, if a student’s University Seminar requirement is met by one of the 180J literature options, then Physics 8 8 8 the student will not be required to take 300-level literature. Note, for this major only, a course in fine Statistics: MATH 214 or BIOS 411 3–4 3–4 0 arts is not acceptable for the University literature/ fine arts requirement. (A fine arts course will count Science Electives 20–21 20–21 20 as a general elective.) 7. In the curriculum for the program, there are Total Required Science 64 64 60 listed the several courses required for the degree, including one semester each of history and social Business Courses 15 0 0 science, a course in literature, two courses in philosophy and two courses in theology. Students Computing Courses 0 15 0 should remember that none of the required courses can be taken as a pass/fail option. Education Courses 0 0 33 8. Students who have completed only six hours of mathematics in the first year of studies may transfer Language Intermediate Level Competency into the program but they will be required to com- FYC 110 3 3 3 plete a mathematics sequence equivalent to MATH 119, 120 or MATH 125, 126. Students having tak- Philosophy* 6 6 6 en MATH 105, 106 (or 108 or 110) may do this by taking MATH 120, while those who have taken Theology* 6 6 6 only one semester of lower-level calculus should take both MATH 119, 120. Those students should History* 3 3 3 see also the discussion on degree credit found later in this section of the Bulletin. Social Sciences 3 3 3 9. PHYS 131–132 or PHYS 151–152 may be sub- stituted for PHYS 221-222. Literature/Fine Arts 3 3 3 10. Undergraduate Research (BIOS 498), Teaching Practicum (BIOS 495), and Directed Readings Free Electives 2** 12** 0** (BIOS 497) count toward the 64-hour preprofes- sional studies major science requirement; however, Total 24 124 126 a maximum of two credits a semester and a com- bined total of six credit hours may be counted in * One of these courses must be a University Seminar 180. fulfilling the 64-credit-hour science requirement as ** Assumes Intermediate Level Competency in language was achieved by taking three three-credit courses. well as the maximum credit hours counted toward graduation. students. Students not only must fulfill their re- 4. For the selection of non-science electives for the 11. All students are welcome to join the Preprofes- quirements but, in the case of the natural sciences programs, students should know that medicine sional and/or Premedical Clubs. In addition, pre- (mathematics, chemistry, biology and physics), also and the other healing professions need individuals medical students are encouraged to join AMSA, the are strongly recommended to follow the sequence with a diversity of educational backgrounds and American Medical Student Association. of courses as listed. This sequence is designed in a wide variety of talents and interests. All of these 12. All students who have had previous exposure the light of health-related professional school re- schools recognize the desirability of a broad edu- to language will be required to take a placement quirements so that one course builds on knowledge cation—a good foundation in the natural sciences examination in that language for placement in the gained from a prior course, even one from a dif- (mathematics, chemistry, biology and physics), proper course if the student wishes to continue in ferent department; it is also structured to maintain highly developed communication skills and a solid that language for the college requirement. If a stu- a rigorous course load of at least two such courses background in the social sciences and humanities. dent wishes to take a new language, of course, he or per semester, with some adjustment possible in the 5. Recommendation 1 of the recent Report of the she must start from the beginning. senior year. Summer sessions, transfer credits and Association of American Medical Colleges titled 13. Interested parties may obtain additional infor- other modification in the regular curriculum should “Physicians for the 21st Century” encourages a mation including various statistics from the depart- not be allowed to disturb this sequence of courses broadening of preparation. The department con- ment Web page. See www.science.nd.edu/ under in the natural sciences. tinues to encourage students to follow that recom- Preprofessional Studies. mendation by using the requirements of 342

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SUMMARY OF REQUIREMENTS FOR THE 300. Introduction to Clinical Ethics The other departments in the College of Science DEGREE OF BACHELOR OF SCIENCE IN (3-0-3) Foster as well as the colleges of arts and letters and busi- PREPROFESSIONAL STUDIES Permission required. ness administration provide all course instruction The focus of the course will be an examination of the in the curricula of the Science-Business Collegiate Credits discoveries in science and medicine over the last 30 Sequence. Biological Sciences 8 years that have challenged traditional values and eth- Bachelor of Science with a Major in Science- Chemistry 16 ical norms. It will include a sketch of the most recent Business Mathematics 8 advances in the various fields of medicine, followed All Science-business majors take the following basic Physics 8 by an examination of the ethical questions they raise sequence of science courses: FYC 110 3 and how they have affected the physician-patient General Biology (BIOS 201–202 and 201L Language Intermediate-Level Competency relationship. Note: This course counts as a general and 202L)1 Philosophy* 6 elective. Fall and spring. General Chemistry (CHEM 117–118)1 Theology* 6 Physical Geology (ENVG 231) and Historical History* 3 311. Introduction to the American Health Care Geology (ENVG 232) Social Science* 3 System OR Literature (University Seminar 180J (3-0-3) Navari Physical Geology (ENVG 231) and Organic or 300-level English; see note 6) 3 For SCPP, SCBU, ALPP, BIOS, BCHM majors. Chemistry I and Lab (CHEM 223, 223L) Science Electives 24 Others, by permission. OR General Electives **27 The course will begin with a short history of the Organic Chemistry I and II and Labs (CHEM 124 American health care system and will be followed by 223–224, 223L–224L) * One of these courses must be a University Seminar a discussion of the major components of the system Calculus (MATH 119–120 or 125–126)1,2 (patients, providers, payers), health insurance cover- 180, and 180J is recommended. See note 6. Physics (PHYS 221–222)3 age, managed care programs, the movement for qual- ** Assumes Intermediate-Level Competency in Lan- Statistics (MATH 214 or BIOS 411) ity health care, physicians in the changing medical guage was achieved by taking three three-credit courses. They also are required to take 20–21 credits of sci- marketplace, health care expenditures, and academic ence electives,4 completing a minimum of 64 credits Preprofessional Studies Course Descriptions. The medical centers. This course counts as a general elec- of science courses. following course descriptions give the number and tive. Fall and spring. title of each course. Lecture hours per week, labo- Also required for the major are the following busi- ratory and/or tutorial hours per week, and credits 397. Directed Readings ness and economics courses: each semester are in parentheses. (1-0–1) Foster Introduction to Economics (ECON 101 or Permission required. 201)5,6 101. Medical Science from Birth to Death Readings focus on learning how patients, families, Accounting and Accountancy I (ACCT 231) (3-0-3) Foster and healthcare professionals experience illness and Business Finance (FIN 231) The course will cover the science behind the techno- healing. how the stories that patients tell become the Introduction to Management (MGT 231) logical advances used in various medical subspecial- basis for diagnosis and therapeutic response, what Introduction to Marketing (MARK 231) ities that raise ethical questions from the beginning it’s like to go through medical training and grow in One business elective chosen from the to the end of life. It will provide students with an identity as a physician, and the nature of the doctor- following: overview of the biotechnological advances that are in patient relationship and how it is changing. Spring. ACCT 232 the news, reshaping the scientific culture of modern Note: This course counts as a general elective. FIN 360 medicine, and challenging personal and societal hu- FIN 361 man values. This course fulfills one semester of the Collegiate Sequence Programs MGT 350 University Science requirement. First-year students The three Collegiate Sequence programs, Science- MGT 473 only. Fall and spring. Business, Science-Computing, and Science- Education, were instituted in 1987. These three MARK 370 102. Introduction to Common Medical Illnesses programs allow students to obtain a strong science Requirements for the program are summarized in the (3-0-3) Navari background while simultaneously preparing them for table above. The course will begin with an introduction to hu- professions in business, computing or education. Notes: man anatomy in which organ structure and function 1. Equivalent or higher-level sequences in science Science-Business Collegiate Sequence will be emphasized. This will be followed by the may be substituted, e.g., CHEM 113–114 or anatomy, biochemistry, physiology and pathology The Science-Business Collegiate Sequence in the De- CHEM 125–126 for CHEM 117–118 or BIOS of several common medical illnesses in the North partment of Preprofessional Studies is an individu- 161–162 for BIOS 201–202 or MATH 165–166 American population. This course fulfills one semes- alized course of study which incorporates courses for MATH 125–126. ter of the University science requirement. First-year from the basic areas of business along with the four 2. Students who have completed only six hours of students only. Students may not take both this basic areas of science. This approach enables students mathematics in their first year may transfer into the course and BIOS 106. Spring. to attain a diversified background to enter an M.B.A. program, but they will be required to complete a program, leading to a position primarily in the sci- mathematics sequence equivalent to MATH 119, entific or health professions business areas. It is also 120 or MATH 125,126. Students having taken a complete and sufficient program to enable the B.S. MATH 105, 106 (or 108 or 110) may do this by graduate of the sequence to enter the scientific busi- taking MATH 120, while those who have taken ness market immediately upon graduation. only one semester of lower-level calculus should Information on the areas of public health and take both MATH 119, 120. (See also the discussion hospital administration, as well as the business needs on science degree credit, found later in this section of the pharmaceutical, biological and chemical in- of the Bulletin.) dustries are available in the office of the Department 3. PHYS 131–132 or PHYS 151–152 may be sub- of Preprofessional Studies, 239 Nieuwland Science stituted for PHYS 221–222. Hall. 343

PREPROFESSIONAL STUDIES

4. The choice by the student of the elective courses Sophomore Year of this program earn a B.S. degree and are able to en- in science for the program will be discussed with First Semester ter the scientific computing job market immediately the student and will be based on the future indus- BIOS 201. General Biology A 3 upon graduation. trial or health professions business interests of the BIOS 201L: General Biology A Lab 1 The other departments in the College of Science as student. Any major-level College of Science courses ENVG 231. Physical Geology well as the colleges of arts and letters and engineering (i.e., those taken to meet science-major require- or provide all course instruction in the curricula of the ments and not those designated as “Recommended CHEM 223, 223L (Organic Chemistry I) 4 Science-Computing Collegiate Sequence. University electives”) and that are not being used to Language 3 fulfill other specific graduation requirements can be Elective 3 Bachelor of Science with a Major in used to satisfy the “Science Elective” requirement. ——— Science-Computing Major-level geology courses crosslisted as science 14 All Science-computing majors take the following courses may be taken as science electives. Students Second Semester basic sequence of science courses: are restricted to no more than two credits per se- BIOS 202. General Biology B 3 General Biology (BIOS 201-202 and 201L mester (six total) for science credit and three credits BIOS 202L: General Biology B Lab 1 and 202L)1 per semester (nine total) for graduation credit of Historical Geology (ENVG 232) General Chemistry (CHEM 117–118)1 courses such as Undergraduate Research or Di- or Physical Geology (ENVG 231) and Historical rected Readings. Teaching Practicum (BIOS 495) CHEM 224, 224L (Organic Chemistry II) 4 Geology (ENVG 232) may not be used as a science elective. Language 3 OR 5. The economics requirement for this major is Philosophy 3 Physical Geology (ENVG 231) and Organic fulfilled by taking Introduction to Economics either ——— Chemistry I and Lab (CHEM 223, 223L) in the first year (ECON 101) or in the sophomore 14 (13) OR year (ECON 201). Students who have taken Junior Year Organic Chemistry I and II and Labs (CHEM ECON 123/223 (Principles of Economics I) or First Semester 223-224, 223L-224L) ECON 224 (Principles of Economics II) will fulfill Science Elective 3 Calculus (MATH 119–120 or 125–126)1,2 this requirement. Note: The course ECON 180 PHYS 221. General Physics I 4 Physics (PHYS 221-222)3 (Social Science University Seminar) will not fulfill ACCT 231 3 Statistics (MATH 214 or BIOS 411) the economics requirement for this major. Theology 3 6. For this major, the University social science Elective (or Language) 3 They also are required to take 20–21 credits of sci- requirement will be fulfilled by the required eco- ——— ence elective,4 completing a minimum of 64 credits nomics course. Additional social science courses are 16 of science courses. recommended and will count toward the student’s Second Semester general electives. BIOS 411. Biostatistics or Also required for the major is one of the following MATH 214. Statistics 4 (3) approved sequences in computing: Suggested Curriculum for the Degree of Bachelor PHYS 222. General Physics II 4 Software design option: of Science in the Science-Business Collegiate MARK 231 3 • Advanced Programming (CSE 232) Sequence (124 semester hour credits: 64 science Elective 3 • Discrete Mathematics (CSE 210) hour credits, minimum) MGT 231 3 • Data Structures (CSE 331) ——— • Fundamentals of Computing I or II (CSE 211 First Year 17 (16) or 212) First Semester Senior Year • Database Concepts (CSE 346) 5 CHEM 117. General Chemistry 4 First Semester Theory option: MATH 119 or 125. Calculus (Note 4) 4 Science Electives 7 • Advanced Programming (CSE 232) FYC 110 3 Elective 5 • Discrete Mathematics (CSE 210) Theology* 3 FIN 231 3 • Data Structures (CSE 331) History* 3 ——— • Automata (CSE 411) Physical Education/ROTC 0 15 • Algorithms (CSE 413) 5 ——— Second Semester Theory and compilers option: 17 Science Electives 7 • Advanced Programming (CSE 232) Second Semester Electives 5 • Discrete Mathematics (CSE 210) CHEM 118. General Chemistry 4 Business elective 3 • Data Structures (CSE 331) MATH 120 or 126. Calculus 4 ——— • Automata (CSE 411) Fine Arts or Literature* 3 15 • Compilers (CSE 443) Philosophy* 3 * One of these courses must be a University Seminar Computer architecture option: ECON 101* 3 180. • Advanced Programming (CSE 232) Physical Education/ROTC 0 • Logic Design and Sequential Circuits (CSE Science-Computing Collegiate Sequence ——— 221) The Science-Computing Collegiate Sequence in 17 • Computer Architecture I (CSE 321) the Department of Preprofessional Studies is an • Computer Architecture II (CSE 322) individualized course of study which incorporates The advisor must approve any deviations from one courses from the four basic areas of science along of these sequences. with a sequence of computing courses. The program will give the student working knowledge of various Requirements for the program are summarized in computer languages and experience using current the table. computer technology. By choosing science electives appropriately, the student has the option of focusing in an area in science of particular interest. Graduates 344

PREPROFESSIONAL STUDIES

Notes: Sophomore Year program, is available in the College of Science office, 1. Equivalent or higher-level sequences in science First Semester 174 Hurley Hall. may be substituted, e.g., CHEM 113–114 or BIOS 201. General Biology A 3 The other departments in the College of Science CHEM 125–126 for CHEM 117–118 or BIOS BIOS 201L: General Biology A Lab 1 and the other colleges of the University, as well as 161–162 for BIOS 201–202 or MATH 165–166 ENVG 231. Physical Geology the Education Department at Saint Mary’s College, for MATH 125–126. or provide all course instruction in the curricula of the 2. Students who have completed only six hours of CHEM 223, 223L (Organic Chemistry I) 4 Science-Education Collegiate Sequence. mathematics in their first year may transfer into the Language 3 program, but they will be required to complete a CSE 211 (Fundamentals of Computing I) 4 Bachelor of Science with a Major in Science- mathematics sequence equivalent to MATH 119, ——— Education 120 or MATH 125, 126. Students having taken 15 All Science-Education majors take the following MATH 105, 106 (or 108 or 110) may do this by Second Semester basic sequence of science courses: taking MATH 120, while those who have taken BIOS 202. General Biology B 3 General Biology (BIOS 201–202 and 201L only one semester of lower-level calculus should BIOS 202L: General Biology B Lab 1 and 202L)1 take both MATH 119, 120. (See also the discussion Historical Geology (ENVG 232) General Chemistry (CHEM 117–118)1 on science degree credit found later in this section or Physical Geology (ENVG 231) and Historical of the Bulletin.) CHEM 224, 224L (Organic Chemistry II) 4 Geology (ENVG 232) 3. PHYS 131–132 or PHYS 151–152 may be sub- Language 3 OR stituted for PHYS 221–222. Elective 3 Physical Geology (ENVG 231) and Organic 4. The choice by the student of the elective courses ——— Chemistry I and Lab (CHEM 223, 223L) in science for the Science-computing program 14 OR will be based on the student’s scientific interest Junior Year Organic Chemistry I and II and Labs (CHEM as developed during his or her studies of the four First Semester 223–224, 223L–224L) basic areas of science. Any major-level College of Science Elective 4 Calculus (MATH 119–120 or 125–126)1,2 Science courses (i.e., those taken to meet science- CSE 232. Advanced Programming 3 Physics (PHYS 221–222)3 major requirements and not those designated as PHYS 221. General Physics I 4 They also are required to take 20 credits of science “Recommended University electives”) and that are Theology 3 electives,4,5 completing a minimum of 60 credits of not being used to fulfill other specific graduation Elective (or Language) 3 science courses. requirements can be used to satisfy the “Science ——— Elective” requirement. Major-level geology courses 17 Also required for the major are the following edu- crosslisted as science courses may be taken as sci- Second Semester cation courses taught by Saint Mary’s College: ence electives. Students are restricted to no more BIOS 411. Biostatistics or EDUC 201. Teaching in a Multicultural than two credits of courses such as Undergraduate MATH 214. Statistics 4 (3) Society Research or Directed Readings in the science elec- PHYS 222. General Physics II 4 EDUC 220. Applied Media and Instructional tive total. Teaching Practicum (BIOS 495) may not Electives 6 Technology be used as a science elective. Philosophy 3 EDUC 345. Curriculum and Assessment in ——— the High School Setting Suggested Curriculum for the Degree of Bachelor 17 (16) EDUC 346. Instructional Strategies and of Science in the Science-Computing Collegiate Se- Senior Year Classroom Management in the High School quence (124 semester hour credits: 64 science hour First Semester Setting credits, minimum) Science Electives 8 EDUC 350. Educational Psychology: Human CSE 331. Data Structures 3 Growth and Development of the Adolescent First Year CSE 210. 3 EDUC 356. Educational Psychology: First Semester Electives 3 Educating Exceptional Learners CHEM 117. General Chemistry 4 ——— EDUC 449. Teaching Science in the MATH 125. Calculus (Note 5) 4 17 Secondary School FYC 110 3 Second Semester EDUC 475. Student Teaching in the Theology* 3 Science Electives 8 Secondary School (spring of senior year) History* 3 CSE 346. Database Concepts 3 Physical Education/ROTC — Electives 3 The education courses are those required in the State ——— ——— of Indiana but are also those that are required most 17 14 often by the educational accrediting agencies of most Second Semester * One of these must be a University Seminar 180. states. The practical teaching experience which is CHEM 118. General Chemistry 4 required will also be arranged through the Education Science-Education Collegiate Sequence MATH 126. Calculus 4 Department at Saint Mary’s College. The Science-Education Collegiate Sequence in the Fine Arts/Literature* 3 Department of Preprofessional Studies is an indi- Requirements for the program are summarized in the Philosophy* 3 vidualized course of study which incorporates many table found two pages back. Social Science* 3 courses from the four basic areas of science along Notes: Physical Education/ROTC — with education courses that most states require to 1. Equivalent or higher-level sequences in science ——— give the student the background necessary to receive may be substituted, e.g., CHEM 113–114 or 17 a certificate to teach in a secondary education sys- CHEM 125–126 for CHEM 117–118 or BIOS tem. Information concerning the requirements for 161–162 for BIOS 201–202 or MATH 165–166 secondary education in the various states, as well for MATH 125–126. as the general course requirements for a certificate necessary to teach science in a secondary education 345

PREPROFESSIONAL STUDIES ~ SPECIAL PROGRAMS

2. Students who have completed only six hours of Sophomore Year mathematics in their first year may transfer into the First Semester Special Programs program, but they will be required to complete a BIOS 201. General Biology A 3 mathematics sequence equivalent to MATH 119, BIOS 201L: General Biology A Lab 1 120 or MATH 125, 126. Students having taken ENVG 231. Physical Geology DOUBLE MAJORS IN SCIENCE MATH 105, 106 (or 108 or 110) may do this by or In certain instances, students have the option of taking MATH 120, while those who have taken CHEM 223, 223L (Organic Chemistry I) 4 pursuing majors in two departments in the College only one semester of lower-level calculus should Language 3 of Science. Combinations that are normally ap- take both MATH 119, 120. (See also the discussion Education 201F (SMC) 3 proved include: Biological Sciences with Chemistry, on science degree credit found on page 303.) Elective 3 Biological Sciences with Mathematics, Biological 3. PHYS 131–132 or PHYS 151–152 may be sub- ——— Sciences with Physics, Biochemistry with Mathe- stituted for PHYS 221–222. 17 matics, Biochemistry with Physics, Chemistry with 4. The choice by the student of the elective courses Second Semester Mathematics, Chemistry with Physics, in science for the Science-education program will BIOS 202. General Biology B 3 Environmental Sciences (first major) with Mathe- be based upon the requirements and list of courses BIOS 202L: General Biology B Lab 1 matics, and Mathematics with Physics. Examples of suggested by the various state educational systems. Historical Geology (ENVG 232) combinations that are normally forbidden include: Since the timing of the course work is particularly or Preprofessional Studies and any of the Collegiate constrained for this major, the student should work CHEM 224, 224L (Organic Chemistry II) 4 Sequence majors with one another or with any closely with his or her advisors: an associate dean in Language 3 other science major, parallel subprograms such as the College of Science and an assigned advisor in Fine Arts/Literature 3 Mathematics and Life Sciences with Physics in Med- the Education Department at Saint Mary’s College. EDUC 220 (SMC) 3 icine and either of those with Biological Sciences or 5. Any major-level College of Science courses (i.e., ——— Biochemistry. All requirements of each major must those taken to meet science-major requirements 17 be met, with no exceptions. Failing to complete a and not those designated as “Recommended Uni- Junior Year required course terminates that major for a student. versity electives”) and that are not being used to First Semester Every student who wishes to major in two depart- fulfill other specific graduation requirements can be PHYS 221. General Physics I 4 ments in the College of Science must prepare an used to satisfy the “Science Elective” requirement. Science Electives 6 agenda of specific courses to be taken, which both Major-level geology courses crosslisted as science EDUC 345 (SMC) 3 advisors and the dean must approve. This should courses may be taken as science electives. Students EDUC 356 (SMC) 3 be done as early as possible, but absolutely no later are restricted to no more than two credits of courses ——— than the seventh day of the senior year. In certain in- such as Undergraduate Research or Directed Read- 16 stances, a student may possibly receive approval of a ings in the science elective total. They may count Second Semester normally forbidden combination of majors, but only up to six credits of Teaching Program (BIOS 495) PHYS 222. General Physics II 4 if a specific program has been set up by the seventh in the science elective total. Science Electives 8 day of the sophomore year. EDUC 350 (SMC) 3 All double major programs in science are ex- Suggested Curriculum for the Degree of Bachelor EDUC 346 (SMC) 3 tremely challenging programs that require that the of Science in the Science-Education Collegiate Se- ——— student take four or five science courses at a time. quence (124 semester hour credits: 60 science hour 18 Thus, only students of superior scholastic ability credits, minimum) Senior Year should consider this as an option. First Semester Students are warned that it is almost certain that First Year Science Electives 6 completing a double major in two sciences will re- First Semester EDUC 449 (SMC) 3 quire total credits well over the college minimum of CHEM 117. General Chemistry 4 Philosophy 3 124. Conflicts in scheduling of required courses may MATH 119 or 125. Calculus (Note 6) 4 Theology 3 occur; neither the college nor the departments un- FYC 110 3 ——— dertake to reschedule courses for the sake of double Theology* 3 15 majors. For these reasons, it must be emphasized that History* 3 Second Semester completing a double major may well require more Physical Education — EDUC 475 (SMC) 12 than four years. Only one degree is awarded (degrees ——— ——— in science do not specify a field). 17 12 Second Semester * One of these must be a University Seminar 180. CHEM 118. General Chemistry 4 MATH 120 or 126. Calculus 4 Elective* 3 Philosophy* 3 Social Science* 3 Physical Education — ——— 17 346

DUAL DEGREE PROGRAM WITH THE MENDOZA COLLEGE OF BUSINESS ~ NONDEPARTMENTAL COURSES

First year, sophomore year, junior year: Dual Degree Program As outlined for individual science major program in Nondepartmental Courses with the Mendoza College this Bulletin. Director: Mitchell R. Wayne of Business Summer Session following junior year: Associate Dean General requirements or electives 6 Coordinators: College of Science MBA 503. Excel Workshop* 0 Hayden Estrada MBA 504. Career Development* 0 Director of Admissions Course Descriptions. The following course de- Accounting Review Workshop* 0 Master of Business Administration Program scriptions give the number and title of each course. Math Review Workshop* 0 Mitchell R. Wayne Lecture hours per week, laboratory and/or tutorial Associate Dean hours per week and credits each semester are in Senior Year College of Science parentheses. Note: ENVG 231, 232, 242, 362, 403, First Semester and 457 are taught by the Department of Civil Engi- MGT 500. Statistics 3 Program of Studies. The dual degree five-year pro- neering and Geological Sciences. ACCT 500. Accounting 3 gram in the Mendoza College of Business and the FIN 510. Microeconomic Analysis 3 College of Science enables the student to earn the 101. The Cosmos, the Earth, and the Genome MBA 500. Management Communication I 1.5 master of business administration and bachelor of (3-0-3) Team taught by BIOS, ENVG, and PHYS Undergraduate: Science/general science degrees in a major in one of the five under- An introduction to the evolution of our universe, requirements 3–7 graduate departments in the College of Science. from the Big Bang to the human genome. The This program, instituted in 1994, offers students course will cover major concepts of cosmology, earth Second Semester the opportunity to better integrate studies in science science, and evolutionary biology. Emphasis will be FIN 500. Financial Management 3 and in management. The student completing this placed on not only our current understanding of FIN 515. Global Macroeconomic program will have a background in management these fields, but how our understanding itself has Environment 3 as well as the first professional degree in one of the evolved over time. This course fulfills one semester of MGT 515. Operations Management 3 undergraduate majors of the College of Science. Be- the University science requirement. If taken by sci- MBA 501. Management Communication II 1.5 cause it is a demanding program, only those students ence or engineering students, this course counts as a Undergraduate: Science/general of superior scholastic ability who have the aptitude, general elective credit. requirements 4–7 motivation and maturity necessary for the combined graduate and undergraduate program should apply. 112. Environmental Geosciences Fifth Year Those with outstanding internship experiences in (3-0-3) Fein First Semester business will be looked upon favorably. Advisors for Prerequisites: CHEM 117 or CHEM 113. MGT 510. Organizational Behavior 3 the program are available for consultation about the This course introduces the student to earth processes MARK 500. Marketing Management 3 advisability of applying for the program and about and focuses on how these processes affect people, MBA: Business Ethics Elective 3 meeting the particular needs of students pursuing and how people affect these processes. The course MBA: International Business elective 3 this program. explores the interactions between Earth’s biosphere, Undergraduate: Science/general The program is open only to those currently geosphere, atmosphere, and hydrosphere, with the requirements 3–6 enrolled Notre Dame students who have completed objective of demonstrating how our physical envi- three years of an undergraduate science first major. ronment is controlled by geological, biological, and Students interested in making application for the Second Semester human forces. MGT 519. Corporate Strategy and Planning 3 M.B.A./Science program should apply to the M.B.A. MBA electives 12 212. Environmental Geosciences program during their junior year. They should take Undergraduate: general requirements 3–6 (3-0-3) Fein the GMAT by December of their junior year. All candidates must schedule a personal interview as Prerequisites: CHEM 117 or CHEM 113. * Occurs during August orientation. a part of the M.B.A. admissions process. Students This course introduces the student to earth processes and focuses on how these processes affect people, must also declare their intentions to the dean’s office Total: 172 semester hours (124 undergraduate, 48 and how people affect these processes. The course in the College of Science and request that a dean’s el- M.B.A.) igibility letter be sent to the M.B.A. Office for them. explores the interactions between Earth’s biosphere, An applicant who is not admitted to the dual Students involved in the M.B.A./Science program geosphere, atmosphere, and hydrosphere, with the degree M.B.A./Science program continues in the will complete their undergraduate program while objective of demonstrating how our physical envi- undergraduate program and completes his or her sci- completing M.B.A. requirements. M.B.A. course ronment is controlled by geological, biological, and human forces. SC 112 and SC 212 are the same ence major in the usual four-year period. work will not apply to the undergraduate degree. As a general guide, it is expected that a student Sample schedules for particular majors are avail- course. accepted to this program will take two courses for able from advisors or the dean’s office. Students who are behind in the completion of their major 231. Physical Geology (Lecture and Laboratory) the undergraduate degree during the summer session (3-2-4) Neal following his or her junior year. Every dual-degree requirements are strongly recommended to obtain Prerequisite: Open to engineering and science com- student is also expected to participate in the orienta- permission and advising before applying to the joint mon core intents. tion for the M.B.A. program. This program will program. An introduction to the Earth, its processes, compo- occupy the entire day for the two weeks prior to the sition, evolution, and structure. The course intro- first day of classes. Orientation is mandatory for all duces student to mineralogy, petrology, structural students beginning the M.B.A. program. geology, oceanography, surfical processes, geophysics, The following schedule of classes is an example of environmental geology, and paleontology. Lecture how an M.B.A./Science program might be and laboratory meetings. accomplished. 347

NONDEPARTMENTAL COURSES ~ SCIENCE DEGREE CREDIT

232. Historical Geology (Lecture and Laboratory) 495. Science in the Classroom (3-2-4) Rigby (V-V–1) Staff Science Degree Credit Prerequisites: ENVG 231 or ENVG 131, consent of Permission required. Courses are generally taken in the College of Science instructor. This course provides an opportunity for students to for one of three reasons: (1) for students in either the This course introduces the student to the concept apply their science background in the community. College of Arts and Letters, or the Mendoza College of geologic time, absolute and relative dating, earth Students interested in education after graduation will of Business, or the School of Architecture, to fulfill a processes and features through time, the major benefit from this course. Students will work with fac- University requirement; (2) for students in either the features of evolution, and distribution of fossils. ulty, teachers and others, improving the science con- College of Engineering or the College of Science to Lecture and laboratory meetings. One-day field trip tent of local elementary and middle school curricula. fulfill a college requirement; and (3) for students in is required. Science majors should note that this course counts as an the College of Science, to fulfill a major requirement. activity course and not as a science elective. As a result, the College of Science offers different 242. Minerology and Optical Mineralogy sequences of courses which overlap considerably (3-2-4) Burns 498. Research Experience for Undergraduates in content but not level. Thus it is possible for a Prerequisites: CHEM 118, ENVG 231, or ENVG (0-V-0) Staff student who has changed his or her college or major 131. Times and inclusive dates variable depending on spe- to have taken two courses which overlap in content. Crystallography and mineral optics; physical and cific program elected by the student. By permission Both courses will appear on the student’s transcript, chemical mineralogy—its application to mineral of the dean or the director of the Summer Session but only one will count for degree credit. identification in hand specimen and using the petro- only. As a guideline for the student and the student’s graphic microscope. advisors, listed below are the groups of courses that overlap considerably in content. (Courses within the 357. Sedimentation and Stratigraphy same group are shown in the same row and are also (3-2-4) Rigby enclosed within parentheses; courses listed within Prerequisite: ENVG/SC 242 or permission of the the same column generally show a typical normal instructor. progression through course work.) In every case, Sedimentary environments from a physical, bio- only one course per group should be counted for logical, and tectonic perspective are explored, along degree credit. Generally, only the course taken last with processes such as lithification.Identification should be counted. Students and advisors are warned of sedimentary rocks; and interpretation of the not to use these groups when moving between course succession of layered rocks in North America are sequences but rather to seek advice from the offering emphasized. department or the College of Science office. For overlap with courses no longer taught in the 403. Geochemistry year of publication of this Bulletin, please refer to (3-0-3) Fein previous editions of this Bulletin. Prerequisite: CHEM 116, 117; MATH 125, 126; or consent of instructor. Biological Sciences An introduction to the use of chemical thermody- (101 110 156 161 191 201) namics, and chemical kinetics in modeling geo- (107 155 162 202) chemical processes. Special emphasis is placed on ( 241 341) water-rock interactions of environmental interest. ( 250 303) ( 342 414) 459. Paleontology (2-3-3) Rigby Chemistry and Biochemistry Prerequisite: SC/ENVG 232 or consent of instructor. (101 103 113 115 117 121 125) The fossil record—morphology, taxonomy, evo- (102 114 116 118 122 126) lution, statistical population systematics, and paleo- ( 223 235 247) ecology. One-day field trip is required. ( 224 236 248) ( 420 341 521) 491. Current Topics in Environmental Science ( 342 522) (3-0-3) Taught by the director of the ES major. Mathematics Environmental sciences first and second majors only. (104 107) The course will be divided into various modules (105 111 119 125 165 195) taught by experts on campus. The modules will ( 108 110 120 126 166 196) include environmental law, risk assessment, environ- ( 221 228 261) mental ethics, advancements in environmental and ( 221 228 271) ecological science, current topics of national interest ( 222 262) in environmental science and others. This course is ( 225 265) required of all first majors and recommended of all ( 226 266) second majors. Spring. ( 230 325) ( 230 325 272) 494. Senior Honors Colloquium (114 214 324) (1-0–1) Hahn, Delaney ( 318 423) Permission required. A required seminar course for seniors in the Arts and Letters/Science Honors Program. In this seminar, selected readings are assigned, and teams of students prepare and lead discussions of the readings. 348

SCIENCE DEGREE CREDIT

Physics (101 115 127 131 141 151 221) ( 128 132 142) (102 116 229 241 253 222) (102 116 132 152 222) ( 230 231 260) (104 204) (110 210) (271 403) (272 403)

Note also that no degree credit is given to any students for MATH 101; additionally, science majors will not receive degree credit for MATH 104 or MATH 107. 349

Officers of Administration

In the College of Science

JOSEPH P. MARINO, Ph.D. Dean of the College of Science SR. KATHLEEN CANNON, O.P., D. Min. Associate Dean of the College of Science RUDOLPH M. NAVARI, M.D., Ph.D. Associate Dean of the College of Science MITCHELL R. WAYNE, Ph.D. Associate Dean of the College of Science JOSEPH E. O’TOUSA, Ph.D. Associate Dean of the College of Science

In the Departments and Programs

CHARLES F. KULPA, Ph.D. Chair of the Department of Biological Sciences PAUL R. GRIMSTAD, Ph.D. Assistant Chair of the Department of Biological Sciences and Director of the Environmental Sciences Program RONALD A. HELLENTHAL, Ph.D. Assistant Chair of the Department of Biological Sciences MARVIN J. MILLER, Ph.D. Chair of the Department of Chemistry and Biochemistry WILLIAM G. DWYER, Ph.D. Chair of the Department of Mathematics ALEX A. HIMONAS, Ph.D. Associate Chair of the Department of Mathematics ANI APRAHAMIAN, Ph.D. Chair of the Department of Physics REV. JOSEPH L. WALTER, C.S.C., Ph.D. Chair of the Department of Preprofessional Studies GERALD L. JONES, Ph.D. Chair of the Program in Chemical Physics MORRIS POLLARD, Ph.D. Director of the Lobund Laboratory TBA Director of the Radiation Laboratory MARK A. SUCKOW, D.V.M. Director of the Freimann Life Sciences Center RUDOLPH M. NAVARI, M.D., Ph.D. Director of the Walther Cancer Research Center FRANCIS J. CASTELLINO, Ph.D. Director ot the W.M. Keck Center for Transgene Research DAVID R. HYDE, Ph.D. Kenna Director of the Center for Zebrafish Research 350

Advisory Council

DR. MONICA Y. ALLEN-ALEXANDER DR. ANN HANK MONAHAN Detroit, Michigan Shorewood, Minnesota DR. BARBARA ANTHONY-TWAROG DR. JOHN G. PASSARELLI Lawrence, Kansas Brentwood, New York JOHN J. ANTON DR. WILLIAM H. RODGERS III San Francisxo, California Norristown, Pennsylvania DR. DAVID M. ASMUTH DR. CAROL LALLY SHIELDS Sacramento, California Philadelphia, Pennsylvania DR. GEORGE J. BOSL DR. WILLIAM S. STAVROPOULOS New York, New York Midland, Michigan DR. ROBERT I. BRANICK RAYMOND C. TOWER San Francisco, California Glenview, Illinois ROBERT E. CAMPBELL DR. ELEANOR M. WALKER Princeton, New Jersey Detroit, Michigan DR .SAMUEL J. CHMELL DR. NORBERT L. WIECH Riverside, Illinois Phoenix, Maryland DR. WILLIAM T. CHRISTIANSEN II DR. JOHN C. YORK II Seattle, Washington Youngstown, Ohio DR. MARY V. CLEMENCY Berkeley, California DR. MARGARET A. COFFMAN Ypsilanti, Michigan DR. JOHN N. COMITO La Jolla, California ADRIAN B. COOPER Houston, Texas DR. R. LAWRENCE DUNWORTH Huntington, West Virginia DR. JOHN R. DURANT Indianapolis, Indiana THOMAS G. FERGUSON Parsippany, New Jersey DR. RICHARD L. GIBNEY Waco, Texas DR. GREGORY A. HOFFMAN Fort Wayne, Indiana DR. THOMAS M. KRIZMANICH Warsaw, Indiana DR. ROBERT S. LEE Pomona, California ROBERT L. LUMPKINS JR. Minneapolis, Minnesota DR. PHILLIP MADONIA Mobile, Alabama JAMES E. McGRAW Savannah, Georgia