Mathematics

College of Science and Engineering
Dean: Sheldon Axler

Department of Mathematics
TH 937
415-338-2251
E-mail: mathstat@math.sfsu.edu
Chair:

Mathematics Undergraduate Advisers: D. Ellis, E. Hayashi
Mathematics Graduate Coordinator: D. Meredith

Mathematics Faculty

Professors—Aiyar, Axler, Ekstrand, Ellis, Fendel, Hayashi, Langlois, Marcucci, Meredith, Novalis, Ovchinnikov, Resek, Robbins, Smith, J., Tabatabaian

Associate Professors—Kafai, Krause, Li

Assistant Professors—Goetz, Hsu, Schuster

Statistics Undergraduate Adviser: M. Kafai

Statistics Faculty

Professors—Aiyar, Bhimjee, Blecha, Ekstrand, Eng, Hunter, Krishnan, P., Marcucci, Osman, Udaybhanu

Associate Professor—Kafai

Assistant ProfessorsóMar

Programs

B.A. in Mathematics
B.S. in Applied Mathematics
B.S. in Statistics
Minor in Mathematics
M.A. in Mathematics


Program Scope

The Bachelor of Arts is offered for students with a general interest in mathematics; B.S. programs in Applied Mathematics and Statistics are also offered. Courses are offered in mathematics education for prospective elementary and secondary teachers; the approved California Single Subject Teaching Credential Program is closely aligned with the B.A. degree program. A student may readily satisfy both sets of requirements. Copies of program requirements are available in the Mathematics Department Office.

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 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 that 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.

Career Outlook

The degree programs in mathematics and statistics prepare students for additional graduate work; teaching careers; and work in business, industry, and government that apply mathematical and statistical concepts. In addition, specific careers in actuarial science and computer analysis are especially attractive.

BACHELOR OF ARTS IN MATHEMATICS

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 60, 70, and 109 may be used to remedy deficiencies. Because of the sequential nature of mathematics courses, all students must consult with a departmental adviser at the beginning of their degree programs. MATH 500 through MATH 599 may not be counted as electives toward the mathematics major. CR/NC grades are not acceptable in courses to be counted for a mathematics major or minor program.

On-line course descriptions are available.

Program Requirements Units
MATH 309 Computation in Mathematics or 3
  CSC 210   Introduction to Computer Programming
MATH 226-228 Calculus I-III (4 units each) 12
MATH 325 Linear Algebra 3
MATH 335 Modern Algebra I 3
MATH 370 Real Analysis I 3
MATH 470 Real Analysis II or 3
  MATH 374   Advanced Calculus or
  MATH 380   Introduction to Functions of a Complex Variable
A sequence of two courses in a related area, such as: 6
  MATH 340 and MATH 441 or  
  MATH 376 and MATH 477 or
  MATH 309 and MATH 400 or
  MATH 310 and MATH 375 or
  MATH 350 and MATH 455 or
  MATH 376 and MATH 460 or
  Other sequences can be arranged with consent of adviser
Upper division mathematics courses on advisement 9
Total 42

BACHELOR OF SCIENCE IN APPLIED MATHEMATICS

Required Courses (39 units) Units
CSC 210 Introduction to Computer Programming or 3
  MATH 309   Computation in Mathematics
MATH 226-228 Calculus I-III (4 each) 12
MATH 324 Statistics with Computing or 3
  MATH 441   Mathematical Statistics
MATH 325 Linear Algebra 3
MATH 335 Modern Algebra or 3
  MATH 370   Real Analysis I
MATH 340 Probability and Statistics I 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)
Units selected from the following: 6
  MATH 301 Exploration and Proof  
  MATH 374 Advanced Calculus
  MATH 476 Ordinary Differential Equations II
  MATH 477 Partial Differential Equations
  MATH 380 Introduction to Functions of a Complex Variable
  MATH 442 Probability Theory
  MATH 430 Operations Research: Deterministic Methods
A coherent collection of 3 courses emphasizing applications of mathematics, chosen with the consent of the applied mathematics adviser 9
Total 54

BACHELOR OF SCIENCE IN STATISTICS

The Bachelor of Science in Statistics is an interdisciplinary program offered for students who are planning careers as statisticians in a wide variety of industrial and business activities, and government services.

The equivalent of two years of high school algebra, one year of plane geometry, and one-half year of trigonometry is prerequisite.

On-line course descriptions are available.

Basic Requirements Units
CSC 210 Introduction to Computer Programming 3
MATH 226-228 Calculus I-III (4 each) 12
MATH 325 Linear Algebra 3
MATH 340 Probability and Statistics I 3
MATH 441 Mathematical Statistics 3
Emphasis: Select Business, Economics, or Science as shown below. 30
Total 54
Business Emphasis
BA 212 Business Statistics 3
ACCT 300 Accounting and Finance Reporting 3
BICS 263 Introduction to Computer Information Systems 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 3
  ECON 325   Economic Modeling and Computer Simulation
Selection of courses that apply statistics in a particular business area with approval of major adviser. 9
  For example (not an exhaustive list):  
  BA 412 plus 2 courses from BA 408, 601, 604, 624, MGMT 661
  FIN 309, 350, ACCT 303
  MKTG 431, 632, PSY 571
  BICS 461, 562, BA 408
Total for emphasis 30
Economics Emphasis
ECON 101 Introduction to Economics Analysis II 3
ECON 300 Intermediate Macroeconomic Theory 3
ECON 301 Intermediate Microeconomic Theory 3
ECON 320 Introduction to Econometrics or 3
  ECON 325   Economic Modeling and Computer Simulation
Units selected in business, economics, and related areas with approval of major adviser. 18
Total for emphasis 30
Science Emphasis
Units to be selected upon advisement from upper division mathematics and statistics courses, with at least 9 units from the following: 15
  MATH 490 Mathematics Seminar, with topics to be selected from:  
  Nonparametic Methods
  Analysis on Variance and 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 15
Total for emphasis 30

MINOR IN MATHEMATICS

At least six units of upper division mathematics for this minor must be completed at this university.

Program Units
MATH 226-228 Calculus I-III (4 each) 12
Upper division electives on advisement 12
Total 24

MASTER OF ARTS IN MATHEMATICS

Applicants to the master's program must have a 3.0 grade point average in the following three courses, or their equivalent: MATH 325, MATH 335, and MATH 370. Applicants who fail to satisfy this requirement but who are qualified in all other respects may be admitted on condition that they bring their grades in these courses up to the 3.0 average during their first two semesters of graduate study (these three courses, however, may not be counted as electives toward the M.A. degree).

On-line course descriptions are available.

Upper division courses acceptable on a Graduate Approved Program will be determined by the student with approval of the graduate adviser.

Program Units
MATH 710 Analysis I 3
MATH 850 Algebra 3
Additional units selected from graduate courses other than MATH 898 and MATH 899 6
Upper division/graduate courses in mathematics or appropriately related subjects with the approval of the graduate adviser. At least 3 graduate units in mathematics must be included in this category.  Students who have not studied complex variable prior to beginning graduate studies should take MATH 380 as one of the courses. 18
Minimum total 30
and either Master's Comprehensive Oral Examination or Thesis

Master's Comprehensive Oral Examination. The examination covers three areas of mathematics. Two areas are algebra (both abstract and linear) and analysis (both real and complex). The third area is elected by the student, with the approval of the graduate adviser. Examples of choices for the third area are: probability and statistics; foundations; differential equations; topology; applied mathematics; numerical analysis; geometry; and computer science. The examination is comprehensive. The student will choose one area in which he or she will be expected to go somewhat more deeply than the other two.

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.

Thesis Option. Students may choose to write a thesis and present an oral defense.. Students considering the thesis option should contact the department chair or graduate adviser for further details.



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