APPLIED MATHEMATICS and STATISTICS Applied Mathematics and Statistics (AMS)
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Spring 2009: updates since Spring 2007 are in red APPLIED MATHEMATICS 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: Computer Science (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: Computational geometry; 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. Cornell University: 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., Stanford University: 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, University of California, 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 - Pradeep Dubey, 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. 116 www.stonybrook.edu/ugbulletin Spring 2009: updates since Spring 2007 are in red APPLIED MATHEMATICS AND STATISTICS 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 Game Theory 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. www.stonybrook.edu/ugbulletin 117 Spring 2009: updates since Spring 2007 are in red APPLIED MATHEMATICS AND STATISTICS or MEC 112 Practical