APPLIED MATHEMATICS AND STATISTICS Spring 2007: updates since Fall 2006 are in red

Applied Mathematics and Statistics (AMS)

Major and Minor in Applied Mathematics and Statistics Department of Applied Mathematics and Statistics, College of Engineering and Applied Sciences CHAIRPERSON: James Glimm UNDERGRADUATE PROGRAM DIRECTOR: Alan C. Tucker UNDERGRADUATE SECRETARY: Elizabeth Ahmad OFFICE: P-139B Math Tower PHONE: (631) 632-8370 E-MAIL: [email protected] WEB ADDRESS: http://naples.cc.sunysb.edu/CEAS/amsweb.nsf Students majoring in Applied Mathematics and Statistics often double major in one of the following: Computer Science (CSE), Economics (ECO), Information Systems (ISE)

Faculty Bradley Plohr, Adjunct Professor, Ph.D., he undergraduate program in Princeton University: Conservation laws; com- Hongshik Ahn, Associate Professor, Ph.D., Applied Mathematics and Statistics putational fluid dynamics. University of Wisconsin: Biostatistics; survival Taims to give mathematically ori- analysis. John Reinitz, Professor, Ph.D., Yale University: ented students a liberal education in quan- Mathematical biology. Esther Arkin, Professor, Ph.D., Stanford titative problem solving. The courses in University: Computational geometry; combina- Robert Rizzo, Assistant Professor, Ph.D., Yale this program survey a wide variety of torial optimization. University: Bioinformatics; drug design. mathematical theories and techniques Edward J. Beltrami, Professor Emeritus, Ph.D., David Sharp, Adjunct Professor, Ph.D., that are currently used by analysts and Adelphi University: Optimization; stochastic California Institute of Technology: Mathematical researchers in government, industry, and models. physics. science. Many of the applied mathematics Yung Ming Chen, Professor Emeritus, Ph.D., Ram P. Srivastav, Professor, D.Sc., University of courses give students the opportunity to New York University: Partial differential equa- Glasgow; Ph.D., University of Lucknow: Integral develop problem-solving techniques using equations; numerical solutions. tions; inverse problems. campus computing facilities. Yuefan Deng, Professor, Ph.D., Columbia Zheng Su, Assistant Professor, Ph.D., : Computational fluid dynamics; University: Biostatistics. About half of the Applied Mathematics parallel computing. Michael Taksar, Professor Emeritus, Ph.D., majors enter graduate or professional Daniel Dicker, Professor Emeritus, D. Eng. Sci., : Stochastic processes. programs, primarily in statistics, opera- Columbia University: Civil engineering. Reginald P. Tewarson, Professor Emeritus, tions research, computer science, and Eugene Feinberg, Professor, Ph.D., Vilnius Ph.D., Boston University: Numerical analysis; business management. Others go directly University: Operations research. biomathematics. into professional careers as actuaries, Stephen Finch, Professor, Ph.D., Princeton Alan C. Tucker, Distinguished Teaching programmer analysts, management University: Applied statistics. Professor, Ph.D., Stanford University: trainees, and secondary school teachers. Combinatorics; applied models. Recipient of Robert Frey, Research Professor, Ph.D., Stony the State University Chancellor’s Award for While some career-oriented course Brook University: Operations research. Excellence in Teaching, 1974. sequences are listed below, students are James Glimm, Distinguished Professor, Ph.D., Yongmin Zhang, Assistant Professor, Ph.D., strongly encouraged to seek faculty Columbia University: Mathematical physics; University of Chicago: Computational fluid advice in coordinating their career plans nonlinear physics. dynamics; numerical analysis. with their academic programs. In the David Green, Assistant Professor, Ph.D., MIT: Wei Zhu, Associate Professor, University of spring of their junior year, all students Computational biology. California, Los Angeles: Biostatistics. contemplating graduate studies, upon John Grove, Adjunct Professor, Ph.D., Ohio graduation or at a later date, should con- State University: Conservation laws; computa- sult with the Department’s graduate tional fluid dynamics. Affiliated Faculty Hussein Badr, Computer Science placement advisor, who assists them in Jiaqiao Hu, Assistant Professor, Ph.D., Michael Bender, Computer Science choice of schools and provides information University of Maryland: Stochastic models. about Graduate Record Examinations, , Economics Xiaolin Li, Professor, Ph.D., Columbia University: etc. Students considering secondary Computational applied mathematics. David Ferguson, Technology and Society school mathematics teaching can major in Brent Lindquist, Professor, Ph.D., Cornell Abraham Neyman, Economics Applied Mathematics and Statistics or in University: Computational fluid dynamics; Steven Skiena, Computer Science Mathematics. reservoir modeling. Recipient of the State University Chancellor's Award for Excellence in Jadranka Skorin-Kapov, College of Business Teaching, 2002. Judith Tanur, Sociology Nancy Mendell, Professor, Ph.D., University of Adjunct Faculty North Carolina, Chapel Hill: Biostatistics; statis- tical genetics. Estimated number: 2 Joseph Mitchell, Professor, Ph.D., Stanford Teaching Assistants University: Computational geometry. Recipient Estimated number: 30 of the State University Chancellor’s Award for Excellence in Teaching, 1996.

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Courses Offered in Applied Sample Course Sequence for the Mathematics and Statistics Major in Applied Mathematics and Statistics See the Course Descriptions listing in this Bulletin for complete information. Freshman Fall Credits Spring Credits AMS 101-C Applied Precalculus First Year Seminar 101 1 First Year Seminar 102 1 AMS 102-C Elements of Statistics D.E.C. A 3 AMS 161* 3 AMS 151* 3 D.E.C. 3 AMS 110 Probability and Statistics in D.E.C. 3 D.E.C. 3 the Life Sciences D.E.C. 3 CSE 110* 3 AMS 151-C, 161-C Applied Calculus I, II Total 13 D.E.C. 3 Total 16 AMS 201 Matrix Methods and Models AMS 210 Applied Linear Algebra AMS 261 Applied Calculus III Sophomore Fall Credits Spring Credits AMS 210 3 AMS 301 3 AMS 300 Writing in Applied AMS 261 4 AMS 310 3 Mathematics D.E.C. 3 Elective 3 AMS 301 Finite Mathematical D.E.C. 3 AMS Upper-Division elective 3 Structures D.E.C. 3 AMS Upper-Division elective 3 Total 16 Total 15 AMS 303 Graph Theory AMS 310 Survey of Probability and Statistics Junior Fall Credits Spring Credits AMS 311 Probability Theory AMS Upper-Division elective 3 Upper-Division elective 3 AMS 312 Mathematical Statistics Upper-Division elective 3 Upper-Division elective 3 AMS 315 Data Analysis AMS Upper-Division elective 3 Related Area course** 3 AMS Upper-Division elective D.E.C. 3 AMS 318 Theory of Interest or ECO 321 3-4 Elective 3 AMS Upper-Division elective 3 AMS 321 Computer Projects in Applied Total 15 Total 15-16 Mathematics AMS 322 Groundwater Modeling AMS 326 Numerical Analysis Senior Fall Credits Spring Credits AMS 300 1 Related Area course** 3 AMS 331 Mathematical Modeling Upper-Division elective 3 Related Area course** 3 AMS 335 Upper-Division elective 3 Elective 3 AMS 341 Operations Research I: Related Area course** 3 Elective 3 Deterministic Models Related Area course** 3 Elective 3 Elective 3 Total 15 AMS 342 Operations Research II: Total 16 Stochastic Models AMS 345 Computational Geometry * See A. 1. for alternate course selections. AMS 351 Applied Algebra **Consult the department for appropriate courses. AMS 361 Applied Calculus IV: Differential Equations AMS 394 Statistical Laboratory Acceptance into the Applied Requirements for the Major in AMS 410 Actuarial Mathematics Mathematics and Statistics Major Applied Mathematics and AMS 421 Statistical Quality Control and Qualified freshman and transfer stu- Statistics (AMS) Design of Experiments dents who have indicated their interest The major in Applied Mathematics and AMS 441 Business Enterprise in the major on their applications are Statistics leads to the Bachelor of AMS 475 Undergraduate Teaching accepted directly into the major upon Science degree. Practicum admission to the University. Students Completion of the major requires who did not apply for the major and approximately 60 credits. AMS 487 Research in Applied those who were not accepted into the Mathematics major when they entered the University A. Study Within the Area of the Major AMS 492 Topics in Applied Mathematics may apply directly to the Department 1. AMS 151, 161 Applied Calculus I, II only after completion of AMS 161 or AMS 210 or MAT 211 Applied MAT 132 or 142 or 127; AMS 210 or MAT Linear Algebra 211; and CSE 110 or 114 or 130 or ESG AMS 261 or MAT 203 or MAT 205 111 or MEC 111 or 112. Applied Calculus III

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Note: The following alternate calcu- B. Study in Related Areas Recommendations for lus course sequences may be substi- To gain a background in fields that Students Majoring in tuted for AMS 151, 161 in major generate mathematical applications, Applied Mathematics and Statistics requirements or prerequisites: a minimum of 14 additional credits The Department encourages students to MAT 125, 126, 127 are chosen from among the course have a broad exposure to many types of or MAT 131, 132 offerings in appropriate social mathematical reasoning and to its diverse sciences, the natural sciences, and roles in the social and natural sciences. or MAT 141, 142 engineering. Courses taken to satisfy During their first two years, students or MAT 171 item 3 above may not be used to sat- considering an AMS major are encour- 2. CSE 110 Introduction to Computer isfy this requirement. No more than aged to take, in addition to the required Science eight of these credits may come from calculus sequence, two semesters of any one department. or CSE 114 Computer Science I physics numbered PHY 121 or higher; CSE 110 or 113, 114 or 130 or ESG 111 or or CSE 130 Introduction to Grading MEC 111 or 112; one other computer Programming in C All courses taken to satisfy require- course (competence in computer pro- or ESG 111 C Programming for ments A. 1, 2, and 3 above must be taken gramming is essential for many profes- Engineering for a letter grade and passed with a sional careers); and some economics. At or MEC 111 Computer Science for grade of D or higher. the end of the sophomore year or the Engineers beginning of the junior year, students begin taking upper-division AMS courses, or MEC 112 Practical C/C++ for Double Majors usually starting with AMS 301 and 310. Scientists and Engineers The Department urges students in other At the same time, they are strongly majors who are considering a double 3. 24 credits of AMS courses numbered encouraged to continue taking MAT and major with AMS first to select individual 301 and above including AMS 301 CSE courses and mathematically oriented AMS courses on the basis of their acade- Finite Mathematical Structures courses in other departments, such as mic interests or career plans. Only after and either AMS 310 Survey of ECO 303. The following list of course a student has taken several AMS courses Probability and Statistics or AMS sequences for certain professions is given should he or she decide on this as a sec- 311 Probability Theory. (A minimum as a preliminary guide to students with ond major. of 18 of these 24 credits must be des- interests in these professions. Students ignated AMS courses. The remaining On the other hand, AMS students are should speak with faculty members spe- six credits may be replaced by an strongly encouraged to double major (or cializing in these areas as early as possible equal number of credits taken from to minor) in another discipline. The most for more information. approved upper-division mathemati- frequent choices of AMS double majors Statistics: AMS 301, 310, 311, 312, 315, cally oriented courses. Typical are computer science and economics. approved substitutions are ECO 321, another CSE course beyond 110 or 114 or 130 or MEC 111; students considering ECO 348, and all courses designated Actuarial Science CSE numbered 301 and above and graduate statistics programs should take MAT 310 and above.) The AMS major covers the mathematical MAT 310 and 320. sciences topics tested in the first actuar- 4. Upper-Division Writing Operations Research or Management ial examination and part of the second Science: AMS 301, 310, 311, 341, and 342; Requirement: AMS 300 Writing in actuarial examination. For more infor- Applied Mathematics students considering graduate operations mation about actuarial science as well as research programs should take MAT 310 All degree candidates must demon- study materials to help prepare for actu- and 320. strate skill in written English at a arial examinations, students should see level acceptable for Applied the Department’s actuarial advisor. Also Programmer-Analyst: AMS 301, 310, 311, Mathematics and Statistics majors. see the Web site http://www.soa.org for 321, 326, 341, and CSE 214, 220, and 301. AMS students must register for the details. Secondary Teaching: Students prepar- writing course AMS 300, or submit a ing for a career as a teacher of mathe- technical paper(s) written for other matics in the secondary schools enroll in courses. The requirement may also the Mathematics Secondary Teacher be met by earning a grade of C or Education Program. See the Education higher in a writing course approved and Teacher Certification entry in the by the Department or, if the student alphabetical listings of Approved has a double major, by satisfying the Majors, Minors, and Programs. requirement for the other major.

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Course Sequence in the Applied Requirements for the Minor in Mathematics and Statistics Major Applied Mathematics and Statistics Many students enter the University (AMS) intending another major and change to The minor in Applied Mathematics and the Applied Mathematics and Statistics Statistics is designed for students who major, or add it as a second major, toward take a limited amount of mathematics in the end of the sophomore year or in the their major. The AMS minor must junior year. Required courses for the include at least 18 credits in courses that major in the first two years are the calcu- are not used to satisfy the requirements lus sequence and linear algebra—virtually of the student’s primary major; there- the same mathematical requirements as fore, students in majors requiring a sub- found in the intended majors of students stantial amount of mathematics may find who subsequently switch to Applied that a double major with AMS requires Mathematics and Statistics. fewer credits. The particular set of 300-level AMS A. Calculus: AMS 151, 161 (See Note) courses taken in the junior and senior B. Linear algebra: AMS 210 or MAT years by Applied Mathematics and 211 (Students who took AMS 201 Statistics majors, and the order in which prior to declaring the AMS minor they are taken, is very flexible. may substitute AMS 201) Normally, majors take AMS 301 and 310 C. AMS courses: AMS 301 and (the two required 300-level AMS courses) 310 first. For assistance in 300-level AMS course sequences, majors are encouraged D. AMS electives: three additional 300- to speak with the undergraduate pro- level AMS courses gram director. Note: The following alternate calculus course sequences may be substituted for The Combined B.S./M.S. Program AMS 151, 161 in requirements for the in Applied Mathematics and minor or prerequisites: Statistics MAT 125, 126, 127 The combined B.S./M.S. program in or MAT 131, 132 applied math and statistics allows stu- or MAT 141, 142 dents with superior academic records to or MAT 171 use up to nine graduate credits towards both the B.S. and M.S. degree require- ments, thus reducing the normal time required to complete both programs to five years (ten semesters). For detailed program requirements, please refer to the Graduate Bulletin. The advantage of the combined program is that the M.S. degree can be earned in less time than that required by the tradi- tional course of study. The M.S. degree in Applied Mathematics and Statistics nor- mally requires three to four semesters of study after completion of a bachelor’s degree. The in-depth training of a mas- ter’s degree is required by many employ- ers for professional positions in applied mathematics and statistics (beyond beginning programmer analyst jobs). For more details about the B.S./M.S. program, see the undergraduate pro- gram director or graduate studies direc- tor in the Department of Applied Math- ematics and Statistics.

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