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APPLIED MATHEMATICS AND STATISTICSSpring 2006: updates since Spring 2005 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: Christine Rota 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 Robert Rizzo, Assistant Professor, Ph.D., Yale he undergraduate program in University: Bioinformatics; drug design. Hongshik Ahn, Associate Professor, Ph.D., Applied Mathematics and Statistics University of Wisconsin: Biostatistics; survival David Sharp, Adjunct Professor, Ph.D., Taims to give mathematically ori- analysis. California Institute of Technology: Mathematical ented students a liberal education in quan- physics. Esther Arkin, Professor, Ph.D., Stanford titative problem solving. The courses in University: Computational geometry; combina- Ram P. Srivastav, Professor, D.Sc., University of this program survey a wide variety of torial optimization. Glasgow; Ph.D., University of Lucknow: Integral mathematical theories and techniques equations; numerical solutions. Edward J. Beltrami, Professor Emeritus, Ph.D., that are currently used by analysts and Adelphi University: Optimization; stochastic Michael Taksar, Professor Emeritus, Ph.D., researchers in government, industry, and models. Cornell University: Stochastic processes. science. Many of the applied mathematics Yung Ming Chen, Professor Emeritus, Ph.D., Reginald P. Tewarson, Professor Emeritus, courses give students the opportunity to New York University: Partial differential equa- Ph.D., Boston University: Numerical analysis; develop problem-solving techniques using biomathematics. tions; inverse problems. campus computing facilities. Yuefan Deng, Professor, Ph.D., Columbia Alan C. Tucker, Distinguished Teaching University: Computational fluid dynamics; Professor, Ph.D., Stanford University: About half of the Applied Mathematics parallel computing. Combinatorics; applied models. Recipient of majors enter graduate or professional the State University Chancellor’s Award for Daniel Dicker, Professor Emeritus, D. Eng. Sci., programs, primarily in statistics, opera- Excellence in Teaching, 1974. Columbia University: Civil engineering. tions research, computer science, and Ilya Vakser, Associate Professor, Ph.D., Moscow Eugene Feinberg, Professor, Ph.D., Vilnius business management. Others go directly State University: Computational structural University: Operations research. into professional careers as actuaries, biology. Stephen Finch, Professor, Ph.D., Princeton programmer analysts, management E. Alper Yildirim, Assistant Professor, Ph.D., University: Applied statistics. trainees, and secondary school teachers. Cornell University: Optimization; operations Robert Frey, Research Professor, Ph.D., Stony research. While some career-oriented course Brook University: Operations research. Yongmin Zhang, Assistant Professor, Ph.D., sequences are listed below, students are James Glimm, Distinguished Professor, Ph.D., University of Chicago: Computational fluid strongly encouraged to seek faculty Columbia University: Mathematical physics; dynamics; numerical analysis. advice in coordinating their career plans nonlinear physics. Wei Zhu, Assistant Professor, University of with their academic programs. In the John Grove, Adjunct Professor, Ph.D., Ohio California, Los Angeles: Biostatistics. spring of their junior year, all students State University: Conservation laws; computa- contemplating graduate studies, upon tional fluid dynamics. Affiliated Faculty graduation or at a later date, should con- Xiaolin Li, Professor, Ph.D., Columbia University: Hussein Badr, Computer Science sult with the Department’s graduate Computational applied mathematics. Michael Bender, Computer Science placement advisor, who assists them in Brent Lindquist, Professor, Ph.D., Cornell Pradeep Dubey, Economics choice of schools and provides information University: Computational fluid dynamics; about Graduate Record Examinations, reservoir modeling. David Ferguson, Technology and Society etc. Students considering secondary Nancy Mendell, Professor, Ph.D., University of Abraham Neyman, Economics school mathematics teaching can major in North Carolina, Chapel Hill: Biostatistics; statis- Steven Skiena, Computer Science Applied Mathematics and Statistics or in tical genetics. Jadranka Skorin-Kapov, College of Business Mathematics. Joseph Mitchell, Professor, Ph.D., Stanford University: Computational geometry. Recipient Judith Tanur, Sociology of the State University Chancellor’s Award for Adjunct Faculty Excellence in Teaching, 1996. Estimated number: 2 Bradley Plohr, Adjunct Professor, Ph.D., Princeton University: Conservation laws; com- Teaching Assistants putational fluid dynamics. Estimated number: 20 John Reinitz, Associate Professor, Ph.D., Yale University: Mathematical biology. 108 http://www.stonybrook.edu/ugbulletin Spring 2006: updates since Spring 2005 are in AredPPLIED MATHEMATICS AND STATISTICS 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 AMS 161* 3 AMS 102-C Elements of Statistics D.E.C. A 3 D.E.C. 3 AMS 151* 3 D.E.C. 3 AMS 110 Probability and Statistics in D.E.C. 3 CSE 110* 3 the Life Sciences D.E.C. 3 D.E.C. 3 AMS 151-C, 161-C Applied Calculus I, II Total 13 Total 15 AMS 201 Matrix Methods and Models AMS 210 Applied Linear Algebra Sophomore Fall Credits Spring Credits AMS 261 Applied Calculus III AMS 210 3 AMS 301 3 AMS 300 Writing in Applied AMS 261 4 AMS 310 3 Mathematics D.E.C. 3 Elective 3 D.E.C. 3 AMS Upper-Division elective 3 AMS 301 Finite Mathematical D.E.C. 3 AMS Upper-Division elective 3 Structures 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 Upper-Division elective 3 Related Area course** 3 AMS 315 Data Analysis AMS Upper-Division elective D.E.C. 3 or ECO 321 3-4 AMS 318 Theory of Interest Elective 3 AMS Upper-Division elective 3 Total 15 AMS 321 Computer Projects in Applied Total 15-16 Mathematics AMS 322 Groundwater Modeling Senior Fall Credits Spring Credits AMS 326 Numerical Analysis AMS 300 1 Related Area course** 3 AMS 331 Mathematical Modeling Upper-Division elective 3 Related Area course** 3 AMS 335 Game Theory Upper-Division elective 3 Elective 3 Related Area course** 3 Elective 3 AMS 341 Operations Research I: Related Area course** 3 Elective 3 Deterministic Models Elective 3 Total 15 AMS 342 Operations Research II: Total 16 Stochastic Models * See A. 1. for alternate course selections. AMS 345 Computational Geometry AMS 351 Applied Algebra **Consult the department for appropriate courses. AMS 361 Applied Calculus IV: Differential Equations AMS 373 Analysis of Algorithms Acceptance into the Applied Requirements for the Major in AMS 394 Statistical Laboratory Mathematics and Statistics Major Applied Mathematics and AMS 410 Actuarial Mathematics Qualified freshman and transfer stu- Statistics (AMS) AMS 421 Statistical Quality Control and dents who have indicated their interest The major in Applied Mathematics and Design of Experiments in the major on their applications are Statistics leads to the Bachelor of AMS 441 Business Enterprise accepted directly into the major upon Science degree. admission to the University. Students AMS 475 Undergraduate Teaching Completion of the major requires who did not apply for the major and approximately 60 credits. Practicum those who were not accepted into the AMS 487 Research in Applied major when they entered the University A. Study Within the Area of the Major Mathematics may apply directly to the Department 1. AMS 151, 161 Applied Calculus I, II AMS 492 Topics in Applied Mathematics 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 http://www.stonybrook.edu/ugbulletin 109 APPLIED MATHEMATICS AND STATISTICSSpring 2006: updates since Spring 2005 are in red 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 2.