Mathematics Undergraduate Advisers: D. Ellis, E. Hayashi
Mathematics Graduate Coordinator: J. Lewis
Associate Professors—Haines, Krause, Langlois
Assistant Professors—Kafai, Mar
B.S. in Applied Mathematics
B.S. in Statistics
Minor in Mathematics
M.A. in Mathematics
The Bachelor of Arts, for those desiring a general liberal arts program with an emphasis in mathematics, will help students prepare for careers in mathematics teaching and mathematical analysis in industry or for graduate study.
The Bachelor of Science in Applied Mathematics responds to the needs of business and industry for applied mathematical scientists. The program also responds to the needs of those students who enjoy mathematics for its own sake but who also have interests in other fields to which mathematics is applied. Applied mathematicians and statisticians are employed in such areas as operations research, systems analysis, computing, data analysis, biological sciences, communications research, and in the management sciences.
The primary aim of applied mathematics is to elucidate scientific concepts and to describe and predict scientific phenomena through the use of mathematics. The applied mathematician is at once a mathematical specialist and a systems analyst, whose task it is to confront highly complex real-world situations with mathematical analysis. In industry the applied mathematician has an opportunity to test both background and training in solving problems of a practical nature. It is necessary to have not only a grasp of the mathematical theories involved, but also an appreciation for the specific science or technology concerned. In this way, one can arrive at usable mathematical formulations of scientific and engineering problems.
The applied mathematics program prepares students in several areas. First, students acquire a broad knowledge of the techniques and methods of applied mathematics. These techniques include differential equations, optimization, statistics, numerical analysis, computer programming, and operations research. Second, students learn to model scientific phenomena and complex real-world systems, (Mathematical Modeling, Applied Mathematics Project) and to use these models to understand and predict the behavior of these systems. Finally, they learn how to effectively communicate these results to other scientists and managerial decision makers.
The Minor in Mathematics is available for students desiring a program of study in mathematics which is coherent but not as extensive as the B.A. program. It could provide excellent background for prospective secondary school teachers who want to be able to teach in mathematics as well as in their major area, or for students majoring in a science such as biology or economics who want to emphasize the quantitative aspects of their major.
The Colleges of Behavioral and Social Sciences, Business, and Science and Engineering offer the Bachelor of Science in Statistics for students who are planning careers as statisticians in a wide variety of industrial and business activities, and government services.
The Master of Arts in Mathematics is offered with the purpose of extending students' experience in mathematics. A student's goal may be to prepare for a career in government, industry, or community college teaching, to enhance competency as an elementary or secondary school teacher, or to prepare for further graduate study.
BACHELOR OF ARTS IN MATHEMATICS
Courses for this program are listed in alphabetical sequence (see Mathematics discipline in the Announcement of Courses section).
Undergraduate degree programs in mathematics presuppose a background equivalent to two years of high school algebra, one year of plane geometry, and one semester of trigonometry. Students in doubt as to their satisfaction of these prerequisites should consult the department. MATH 55, 60, 70, 107, and 109 may be used to remedy deficiencies. Because of the sequential nature of mathematics courses, all students are urged to consult with the department at the beginning of their degree programs. The following courses may not be counted as electives toward the mathematics major: MATH 560, 565, 650. Students are advised that CR/NC grades are not acceptable in courses to be counted for a mathematics major or minor program.
At least six upper division units in mathematics for this major must be completed at this university.
Program Requirements Units CSC 210 Introduction to Computer Programming or MATH 309 Computation in Mathematics 3 MATH 220-223 Calculus and Analytic Geometry I-IV (3 units each) 12 MATH 246 Introduction to Applied Linear Algebra 3 MATH 320 Modern Algebra I 3 MATH 370 Real Analysis I 3 MATH 371 Real Analysis II or MATH 374 Advanced Calculus or MATH 380 Introduction to Func- tions of a Complex Variable 3 A sequence of two courses in a single area, such as: 6 MATH 340 Probability and Statistics I and MATH 341 Probability Theory or MATH 376 Ordinary Differential Equations I and MATH 379 Partial Differential Equations or Other sequences can be arranged in various areas; e.g., computer science Upper division mathematics courses on advisement (MATH 260 is acceptable in this category) 9 Total 42
Required Courses (39 units) Units CSC 210 Introduction to Computer Programming or MATH 309 Computation in Mathematics 3 MATH 220-223 Calculus and Analytic Geometry I-IV (3 each) 12 MATH 246 Introduction to Applied Linear Algebra 3 MATH 320 Modern Algebra or MATH 370 Real Analysis I 3 MATH 340 Mathematical Statistics I 3 MATH 250 Statistics with Computing or MATH 342 Mathematical Statistics II 3 MATH 376 Ordinary Differential Equations I 3 MATH 400 Numerical Analysis I 3 MATH 460 Mathematical Modeling 3 MATH 696-697 Applied Mathematics Project (1-2) 3 Electives (15 units) Two courses selected from the following: 6 MATH 374 Advanced Calculus MATH 378 Ordinary Differential Equations II MATH 379 Partial Differential Equations MATH 380 Introduction to Func- tions of a Complex Variable MATH 341 Probability Theory MATH 430 Operations Research: Deterministic Methods A coherent collection of three courses empha- sizing applications of mathematics, chosen with the consent of the Applied Mathematics adviser 9 Total 54
The equivalent of two years of high school algebra, one year of plane geometry, and one-half year of trigonometry is prerequisite.
Courses required in this program are listed in alphabetical sequence (see Statistics discipline in the Announcement of Courses section).
Basic Requirements Units CSC 210 Introduction to Computer Programming 3 MATH 220-223 Calculus and Analytic Geometry I-IV (3 each) 12 MATH 246 Introduction to Applied Linear Algebra or MATH 325 Linear Algebra 3 MATH/STAT 340 Introduction to Probability and Statistics 3 MATH/STAT 342 Mathematical Statistics 3 Emphasis: One field in Business, Economics, or Science as shown below 30 Total 54Business Emphasis
BA 212 Business Statistics 3 ACCT 300 Accounting & Finance Reporting* 3 BICS 363 Information Systems for Management 3 MGMT 405 Introduction to Management and Organizational Behavior 3 ECON 101 Introduction to Economics Analysis II 3 ECON 320 Introduction to Econometrics or ECON 325 Economic Modeling and Computer Simulation 3 Selection of courses that apply statistics in a particular business area with approval of major adviser 12 For example (not an exhaustive list): BA 412 plus three courses from BA 408, 601, 604, 624, MGMT 661 FIN 309, 350, ACCT 303; one course from BICS 265 and BA 601 MKTG 431, 632, PSY 571; one course from BICS 265 and BA 601 BICS 461, 562, BA 408; one course from BICS 265 and BA 601 Total for emphasis 30*Students particularly interested in accounting should choose among the electives ACCT 100-101 (6 units) in place of ACCT 300.
ECON 101 Introduction to Economics Analysis II 3 ECON 300 Intermediate Macroeconomic Theory 3 ECON 301 Intermediate Microeconomic Theory 3 ECON 312 Statistical Method and Interpretation II 3 ECON 320 Introduction to Econometrics or ECON 325 Economic Modeling and Computer Simulation 3 Selection of courses in business, economics, and related areas with approval of major adviser 15 Total for emphasis 30Science Emphasis
Units to be selected upon advisement from upper division Mathematics and Statistics courses, with at least nine (9) units from the following: 18 MATH/STAT 341 Probability Theory MATH/STAT 500 Mathematics Seminar, with topics to be selected from: Nonparametic Methods Analysis on Variance & Covariance General Linear Models Sampling Theory Bayesian Inference Multivariate Analysis Additional units from a coherent collection of courses in an area/areas of science that uses statistical methods, with prior approval of the adviser 12 Total for emphasis 30
Units MATH 220-223 Calculus and Analytic Geometry I-IV (3 each) 12 Upper division electives on advisement 12 Total 24
Courses for this discipline are listed in alphabetical sequence (see Mathemathics discipline in the Announcement of Courses section).
Upper division courses acceptable on a Graduate Approved Program are: MATH 310, 340, 341, 342, 378, 379, 400, 440, 500; CSC 510, 520.
Program Units MATH 710 Analysis 3 MATH 730 Theory of Functions of a Complex Variable 3 MATH 850 Algebra 3 One course from the following: 3 MATH 740 Functional Analysis MATH 750 General Topology MATH 760 Introduction to Measure and Lebesque Integration Upper division or graduate courses in mathe- matics or appropriately related subjects with the approval of the graduate adviser. At least three units of graduate course work in Mathe- matics must be included in this category. 18 Minimum total 30 and Master's Comprehensive Oral Examination
If the student fails the examination, it may be recommended that the student take all or part of it again. The examination or parts of it may be repeated only once.
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