Professors—Aiyar, Axler, Ekstrand, Ellis, Hayashi, Kafai, Langlois, Li, Marcucci, Meredith, Novalis, Ovchinnikov, Robbins, Smith, J.
Associate Professors—Goetz, Hosten, Krause, Schusteri
Assistant Professors—Ardilla, Arsuaga, Beck, Cheung, Gubeladze, Hsu, Vazquez
Professors—Aiyar, Bhimjee, Blecha, Ekstrand, Eng, Hunter, Kafai, Krishnan, P., Marcucci, Osman, Udaybhanu
Assistant Professor—Mar
B.A. in Mathematics
B.S. in Applied Mathematics
B.S. in Statistics
Minor in Mathematics
M.A. in Mathematics
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 realworld 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 realworld 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 Bachelor of Science in Statistics is for students who are planning careers as statisticians in industry, business, or government. Statistics is basic to quantitative research in the biological, physical, and social sciences. Because its methods are based on mathematics, it requires a firm understanding of mathematical methods as well as an appreciation of scientific method, computation, and practical problems. To give the student both breadth and depth and to introduce the student to a variety of fields where statistics may be applied, three emphases are offered: science, business, and economics.
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.
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.
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.
Online course descriptions are available.
Required Courses  Units 

MATH 309  Computation in Mathematics or  3 
CSC 201  Introduction to Computer Programming for Nonmajors or  
CSC 210  Introduction to Computer Programming  
MATH 226228  Calculus IIII (4 units each)  12 
MATH 325  Linear Algebra  3 
MATH 335  Modern Algebra I  3 
MATH 370  Real Analysis I  3 
MATH 380  Introduction to Functions of a Complex Variable or  3 
MATH 470  Real Analysis II—Several Variables or  
MATH 471  Real Analysis II—Series or  
PHYS 385  Introduction to Theoretical Physics  
Upper division mathematics courses on advisement: Two of the upperdivision courses taken to satisfy the Mathematics major must form a sequence, for example: 
15 

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  
MATH 340 and MATH 441  
Other sequences can be arranged with consent of adviser  
Total  42 
Required Courses (39 units)  Units 

CSC 201  Introduction to Computer Programming for Nonmajors or  3 
CSC 210  Introduction to Computer Programming or  
MATH 309  Computation in Mathematics  
MATH 226228  Calculus IIII (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 696697  Applied Mathematics Project (12)  3 
Electives (15 units)  
Units selected from the following:  6 

MATH 301  Exploration and Proof  
PHYS 385  Introduction to Theoretical Physics I  
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 
The Bachelor of Science in Statistics is an interdisciplinary program offered for students who are pursuing higher education in probability and statistics or careers as statisticians in a wide variety of industrial, scientific, and business activities, as well as government services.
The equivalent of two years of high school algebra, one year of plane geometry, and onehalf year of trigonometry is prerequisite.
Online course descriptions are available.
Core Requirements  Units 

CSC 201  Introduction to Computer Programming for Nonmajors or  3 
CSC 210  Introduction to Computer Programming  
MATH 226228  Calculus IIII (4 each)  12 
MATH 325  Linear Algebra  3 
MATH 338  Introduction to SAS  3 
MATH 340  Probability and Statistics I  3 
MATH 441  Probability and Statistics II  3 
Total for core  27 

Emphasis: Select Business, Economics, or Science as shown below.  27 

Total for major  54 

Business Emphasis  
ACCT 300  Accounting and Finance Reporting  3 
DS 312  Data Analysis with Computer Applications  3 
DS 412  Operations Management  3 
ECON 101  Introduction to Microeconomic Analysis  3 
FIN 350  Business Finance  3 
ISYS 363  Information Systems for Management  3 
Elective units selected with approval of adviser.  9 

Total for emphasis  27 

Economics Emphasis  
ECON 101  Introduction to Microeconomic Analysis  3 
ECON 300  Intermediate Macroeconomic Theory  3 
ECON 301  Intermediate Microeconomic Theory  3 
ECON 312  Statistical Method and Interpretation II  3 
ECON 325  Economic Modeling and Computer Simulation  3 
ECON 615  Mathematical Economics  3 
ECON 630  Introduction to Econometrics  3 
Elective units selected with approval of adviser.  6 

Total for emphasis  27 

Science Emphasis  
MATH 400  Numerical Analysis  3 
MATH 430  Operations Research  3 
MATH 460  Mathematical Modeling  3 
MATH 490  Mathematics Seminar  3 
Units selected on advisement from a coherent collection of courses in areas of science that use statistical methods. Under advisement, courses from other colleges may be selected.  15 

Total for emphasis  27 
At least twelve units of courses counted toward the minor, including at least six upper division units, must be completed at SFSU.
Program  Units 

MATH 226228  Calculus IIII (4 each)  12 
Upper division electives on advisement  12 

Total  24 
Online 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 895, MATH 898, or 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 these courses. Complete either the thesis or the comprehensive examination/expository paper.  18 

Minimum total  30 
Candidates for the M.A. in Mathematics must complete a culminating experience. Two options are available.
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. A master's thesis should be an original work of twenty or more pages that develops a new theorem or algorithm, a novel application, or an original approach to an established result. The resulting manuscript must be prepared according to university guidelines and—insofar as these to not conflict—following a style similar to that used by the Notices of the American Mathematical Society. Each MA thesis has a principal adviser and two additional readers. The expected time to completion for this paper is one academic year. Thesis guidelines for students and advisers are available from the Mathematics Department.
Comprehensive Examination/Expository Paper Option. Students selecting this option take two written examinations and write an expository paper. Students must take two examinations selected from three alternatives: algebra, analysis, and statistics. Written examinations are administered twice each year in December and May. Examinations last two hours, and a student takes no more than one examination per day. Departmental syllabi for the examinations are available at least four months in advance of each administration. Each examination requires students to integrate material from several required undergraduate and graduate courses, to demonstrate their ability to write short proofs in correct mathematical English, and to demonstrate the falsity of propositions by counterexamples. Examinations are graded pass/fail, and students who fail an examination may repeat it at least once, with additional attempts requireing the written approval of the graduate adviser and chair.
The expository paper is completed in two stages. First, students must complete a departmental proposal form including:
Once students have an approved proposal, they may complete their papers whether by enrolling in a course upon advice of the faculty adviser or under the guidance of an individual faculty member.
Further information about these options can be obtained from the department web site: http://math.sfsu.edu.
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Last modified July 05, 2012 by bulletin@sfsu.edu