Spring 2009: updates since Spring 2007 are in red AND STATISTICS 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 ASSISTANT TO THE CHAIR: Janice Hackney OFFICE: P-139B Math Tower PHONE: (631) 632-8370 E-MAIL: [email protected] WEB ADDRESS: http:// www.ams.stonybrook.edu Students majoring in Applied Mathematics and Statistics often double major in one of the following: (CSE), Economics (ECO), Information Systems (ISE) Faculty Bradley Plohr, Adjunct Professor, Ph.D., mathematically ori ented students a lib - Princeton University: Conservation laws; Hongshik Ahn, Professor, Ph.D., University of eral education in quantitative problem computational fluid dynamics. Wisconsin: Biostatistics; survival analysis. solving. The courses in this program sur - John Reinitz, Professor, Ph.D., Yale University: Esther Arkin, Professor, Ph.D., Stanford vey a wide variety of mathematical theo - Mathematical biology. University: ; combina - ries and techniques that are currently torial optimization. Robert Rizzo, Assistant Professor, Ph.D., Yale used by analysts and researchers in University: Bioinformatics; drug design. Edward J. Beltrami, Professor Emeritus, Ph.D., government, industry, and science. Many Adelphi University: Optimization; stochastic Roman Samulyak, Assistant Professor, Ph.D., of the applied mathematics courses give models. NJIT/Rutgers University: Applied computa - students the opportunity to develop tional mathematics; Fluid dynamics. Yung Ming Chen, Professor Emeritus, Ph.D., problem-solving techniques using cam - New York University: Partial differential equa - David Sharp, Adjunct Professor, Ph.D., California pus computing facilities. Institute of Technology: Mathematical physics. tions; inverse problems. About half of the Applied Mathematics Yuefan Deng, Professor, Ph.D., Columbia Ram P. Srivastav, Professor, D.Sc., University of majors enter graduate or professional University: Computational fluid dynamics; Glasgow; Ph.D., University of Lucknow: Integral programs, primarily in statistics, opera - equations; numerical solutions. parallel computing. tions research, computer science, and Daniel Dicker, Professor Emeritus, D. Eng. Sci., Michael Taksar, Professor Emeritus, Ph.D., business management. Others go directly Columbia University: Civil engineering. : Stochastic processes. into professional careers as actuaries, Eugene Feinberg, Professor, Ph.D., Vilnius Reginald P. Tewarson, Professor Emeritus, programmer analysts, management trai- University: Operations research. Ph.D., Boston University: Numerical analysis; nees, and secondary school teachers. biomathematics. Stephen Finch, Professor, Ph.D., Princeton University: Applied statistics. Alan C. Tucker, Distinguished Teaching While some career-oriented course Professor, Ph.D., : sequences are listed below, students are Robert Frey, Research Professor, Ph.D., Stony Combinatorics; applied models. Recipient of strongly encouraged to seek faculty Brook University: Operations research. the State University Chancellor’s Award for advice in coordinating their career plans James Glimm, Distinguished Professor, Ph.D., Excellence in Teaching, 1974. with their academic programs. In the Columbia University: Mathematical physics; Haiping Xing, Assistant Professor, Ph.D., spring of their junior year, all students nonlinear physics. Stanford University: Multiple change-point contemplating graduate studies, upon David Green, Assistant Professor, Ph.D., MIT: problems; Economic time series; Computational graduation or at a later date, should con - Computational biology. biology. sult with the Department’s graduate John Grove, Adjunct Professor, Ph.D., Ohio Wei Zhu, Professor, , Los placement advisor, who assists them in State University: Conservation laws; Angeles: Biostatistics. choice of schools and provides information computational fluid dynamics. about Graduate Record Examinations, Jiaqiao Hu, Assistant Professor, Ph.D., Affiliated Faculty etc. Students considering secondary University of Maryland: Stochastic models. Hussein Badr, Computer Science school mathematics teaching can major Xiangmin Jio, Assistant Professor, Ph.D., Michael Bender, Computer Science in Applied Mathematics and Statistics or University of Illinios at Urbana-Champaign: in Mathematics. Computational mesh processing; High perform - , Economics ance computing. David Ferguson, Technology and Society Courses Offered in Applied Xiaolin Li, Professor, Ph.D., Columbia Abraham Neyman, Economics Mathematics and Statistics University: Computational applied mathematics. Steven Skiena, Computer Science See the Course Descriptions listing in Brent Lindquist, Professor, Ph.D., Cornell Jadranka Skorin-Kapov, College of Business University: Computational fluid dynamics; this Bulletin for complete information. Judith Tanur, Sociology reservoir modeling. Recipient of the State AMS 101-C Applied Precalculus University Chancellor's Award for Excellence Adjunct Faculty AMS 102-C Elements of Statistics in Teaching, 2002. Estimated number: 2 Nancy Mendell, Professor, Ph.D., University of AMS 110 Probability and Statistics in North Carolina, Chapel Hill: Biostatistics; statis - Teaching Assistants the Life Sciences Estimated number: 30 tical genetics. AMS 151-C, 161-C Applied Calculus I, II Joseph Mitchell, Professor, Ph.D., Stanford AMS 201 Matrix Methods and Models University: Computational geometry. Recipient The undergraduate program in Applied AMS 210 Applied Linear Algebra of the State University Chancellor’s Award for Mathematics and Statistics aims to give Excellence in Teaching, 1996.

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AMS 261 Applied Calculus III Sample Course Sequence for the AMS 300 Writing in Applied Major in Applied Mathematics and Statistics Mathematics AMS 301 Finite Mathematical Freshman Fall Credits Spring Credits Structures First Year Seminar 101 1 First Year Seminar 102 1 AMS 303 Graph Theory D.E.C. A 3 AMS 161* 3 AMS 151* 3 D.E.C. 3 AMS 310 Survey of Probability and D.E.C. 3 D.E.C. 3 Statistics D.E.C. 3 CSE 110* 3 AMS 311 Probability Theory Total 13 D.E.C. 3 AMS 312 Mathematical Statistics Total 16 AMS 315 Data Analysis AMS 316 Introduction to Time Series Sophomore Fall Credits Spring Credits Analysis AMS 210 3 AMS 301 3 AMS 318 Theory of Interest AMS 261 4 AMS 310 3 D.E.C. 3 Elective 3 AMS 321 Computer Projects in Applied D.E.C. 3 AMS Upper-Division elective 3 Mathematics D.E.C. 3 AMS Upper-Division elective 3 AMS 326 Numerical Analysis Total 16 Total 15 AMS 331 Mathematical Modeling AMS 333 Mathematical Biology Junior Fall Credits Spring Credits AMS 335 AMS Upper-Division elective 3 Upper-Division elective 3 AMS 341 Operations Research I: Upper-Division elective 3 Upper-Division elective 3 Deterministic Models AMS Upper-Division elective 3 Related Area course** 3 AMS 342 Operations Research II: AMS Upper-Division elective D.E.C. 3 or ECO 321 3-4 Elective 3 Stochastic Models AMS Upper-Division elective 3 Total 15 AMS 345 Computational Geometry Total 15-16 AMS 351 Applied Algebra AMS 361 Applied Calculus IV: Senior Fall Credits Spring Credits Differential Equations AMS 300 1 Related Area course** 3 AMS 394 Statistical Laboratory Upper-Division elective 3 Related Area course** 3 Upper-Division elective 3 Elective 3 AMS 410 Actuarial Mathematics Related Area course** 3 Elective 3 AMS 421 Statistical Quality Control Related Area course** 3 Elective 3 and Design of Experiments Elective 3 Total 15 Total 16 AMS 441 Business Enterprise AMS 475 Undergraduate Teaching *See A. 1. for alternate course selections. Practicum ** Consult the department for appropriate courses. AMS 487 Research in Applied Mathematics substituted for AMS 151, 161 in AMS 492 Topics in Applied Requirements for the Major in major requirements or prerequisites: Mathematics Applied Mathematics and Statistics (AMS) MAT 125, 126, 127 Acceptance into the Applied The major in Applied Mathematics or MAT 131, 132 and Statistics leads to the Bachelor Mathematics and Statistics Major or MAT 141, 142 Qualified freshman and transfer students of Science degree. or MAT 171 who have indicated their interest in the Completion of the major requires major on their applications are accepted approximately 60 credits. 2. CSE 110 Introduction to Computer directly into the major upon admission to Science A. Study Within the Area of the Major the University. Students who did not or CSE 114 Computer Science I 1. AMS 151, 161 Applied Calculus I, II apply for the major and those who were or CSE 130 Introduction to AMS 210 or MAT 211 Applied not accepted into the major when they Programming in C entered the University may apply Linear Algebra or ESG 111 C Programming for directly to the Department only after AMS 261 or MAT 203 or MAT 205 Engineering completion of AMS 161 or MAT 132 or Applied Calculus III or MEC 111 Computer Science 142 or 127; AMS 210 or MAT 211; and Note: The following alternate for Engineers CSE 110 or 114 or 130 or ESG 111 or calculus course sequences may be MEC 111 or 112.

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or MEC 112 Practical C/C++ for Double Majors Statistics: AMS 301, 310, 311, 312, 315, Scientists and Engineers The Department urges students in other another CSE course beyond 110 or 114 3. 24 credits of AMS courses numbered majors who are considering a double or 130 or MEC 111; students consider - 301 and above including AMS 301 major with AMS first to select individual ing graduate statistics programs should Finite Mathematical Structures AMS courses on the basis of their take MAT 310 and 320. and either AMS 310 Survey of academic interests or career plans. Only Operations Research or Management Probability and Statistics or AMS after a student has taken several AMS Science: AMS 301, 310, 311, 341, and 311 Probability Theory. (A minimum courses should he or she decide on this as 342; students considering graduate of 18 of these 24 credits must be des - a second major. operations research programs should ignated AMS courses. The remaining take MAT 310 and 320. On the other hand, AMS students are six credits may be replaced by an strongly encouraged to double major (or Programmer-Analyst: AMS 301, 310, equal number of credits taken from to minor) in another discipline. The most 311, 321, 326, 341, and CSE 214, 220, approved upper-division mathe- frequent choices of AMS double majors and 301. matically oriented courses. Typical are computer science and economics. Secondary Teaching: Students prepar - approved substitutions are ECO ing for a career as a teacher of mathe - 321, ECO 348, and all courses matics in the secondary schools enroll designated CSE numbered 301 and Actuarial Science in the Mathematics Secondary Teacher above and MAT 310 and above.) The AMS major covers the mathematical Education Program. See the Education 4. Upper-Division Writing sciences topics tested in the first actuar - ial examination and part of the second and Teacher Certification entry in the Requirement: AMS 300 Writing in alphabetical listings of Approved Applied Mathematics actuarial examination. For more infor - mation about actuarial science as well as Majors, Minors, and Programs. All degree candidates must demon - study materials to help prepare for actu - strate skill in written English at arial examinations, students should see Course Sequence in the Applied a level acceptable for Applied the Department’s actuarial advisor. Also Mathematics and Statistics Major Mathematics and Statistics majors. see the Web site http://www.soa.org for Many students enter the University AMS students must register for the details. intending another major and change to writing course AMS 300, or submit the Applied Mathematics and Statistics a technical paper(s) written for Recommendations for Students major, or add it as a second major, toward other courses. The requirement the end of the sophomore year or in the may also be met by earning a grade Majoring in Applied Mathematics and Statistics junior year. Required courses for the of C or higher in a writing course major in the first two years are the calcu - approved by the Department or, if The Department encourages students to lus sequence and linear algebra— the student has a double major, by have a broad exposure to many types of virtually the same mathematical require - satisfying the requirement for the mathematical reasoning and to its ments as found in the intended majors of other major. diverse roles in the social and natural sci - students who subsequently switch to ences. During their first two years, stu - Applied Mathematics and Statistics. B. Study in Related Areas dents considering an AMS major are To gain a background in fields that encouraged to take, in addition to the The particular set of 300-level AMS generate mathematical applications, required calculus sequence, two semes - courses taken in the junior and senior a minimum of 14 additional credits ters of physics numbered PHY 121 or years by Applied Mathematics and are chosen from among the course higher; CSE 110 or 113, 114 or 130 or Statistics majors, and the order in which offerings in appropriate social ESG 111 or MEC 111 or 112; one other they are taken, is very flexible. Nor- sciences, the natural sciences, and computer course (competence in com - mally, majors take AMS 301 and 310 (the engineering. Courses taken to satisfy puter programming is essential for many two required 300-level AMS courses) item 3 above may not be used to professional careers); and some econom - first. For assistance in 300-level AMS satisfy this requirement. No more ics. At the end of the sophomore year or course sequences, majors are encouraged than eight of these credits may come the beginning of the junior year, students to speak with the undergraduate pro - from any one department. begin taking upper-division AMS gram director. courses, usually starting with AMS 301 Grading and 310. At the same time, they are The Sequential B.S ./ M.S. Program All courses taken to satisfy requirements strongly encouraged to continue taking in Applied Mathematics and A. 1, 2, and 3 above must be taken for a MAT and CSE courses and mathemati - Statistics letter grade and passed with a grade of D cally oriented courses in other depart - The sequential B.S./M.S. program in or higher. ments, such as ECO 303. The following applied mathematics and statistics list of course sequences for certain pro - allows students with superior academic fessions is given as a preliminary guide records to use up to nine graduate cred - to students with interests in these pro - its toward both the B.S. and M.S. degree fessions. Students should speak with fac - requirements, thus reducing the normal ulty members specializing in these areas time required to complete both programs as early as possible for more information. to five years (ten semesters). For

118 www.stonybrook.edu/ugbulletin Spring 2009: updates since Spring 2007 are in red APPLIED MATHEMATICS AND STATISTICS detailed program requirements, please C. AMS courses: AMS 301 or MAT 131, 132 refer to the Graduate Bulletin . and 310 or MAT 141, 142 The advantage of the combined program D. AMS electives: three additional or MAT 171 is that the M.S. degree can be earned in 300-level AMS courses less time than that required by the tradi - Note: The following alternate calculus tional course of study. The M.S. degree course sequences may be substituted for in Applied Mathematics and Statistics AMS 151, 161 in requirements for the normally requires three to four semesters minor or prerequisites: of study after completion of a bachelor’s MAT 125, 126, 127 degree. The in-depth training of a master’s degree is required by many employers 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 Mathematics and Statistics.

The Combined B.S ./ M.P.H. Program in Applied Mathematics and Statistics The combined B.S./M.P.H. program allows students with superior academic records to use up to twelve graduate credits toward both the B.S. in Applied Mathematics and Statistics and the M.A. in Public Health degree requirements, thus reducing the normal time required to complete both programs to five years (ten semesters). For detailed program requirements, please refer to the Grad- uate Bulletin or contact the undergrad- uate program director in Department of Applied Mathematics and Statistics or graduate studies director in the Department of Public Health.

Requirements for the Minor in Applied Mathematics and Statistics (AMS) The minor in Applied Mathematics and Statistics is designed for students who take a limited amount of mathematics in their major. The AMS minor must include at least 18 credits in courses that are not used to satisfy the requirements of the student’s primary major; there - fore, students in majors requiring a sub - stantial amount of mathematics may find that a double major with AMS requires fewer credits. A. Calculus: AMS 151, 161 (See Note) B. Linear algebra: AMS 210 or MAT 211 (Students who took AMS 201 prior to declaring the AMS minor may substitute AMS 201)

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