2009-2011 Catalog

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DEPARTMENT CHAIR

Paul De Land

VICE CHAIR

Martin Bonsangue

DEPARTMENT OFFICE

McCarthy Hall 154

DEPARTMENT WEBSITE

http://math.fullerton.edu

PROGRAMS OFFERED

Bachelor of Arts in Mathematics

Pure Mathematics Concentration

Applied Mathematics Concentration

Probability and Statistics Concentration

Teaching Mathematics Concentration

Minor in Mathematics

Minor in Mathematics for Teacher

Education

Master of Arts in Mathematics

Teaching Option

Applied Mathematics Option

Special Topics Program

Subject Matter Preparation Program

for the Single Subject Credential

FACULTY

Alfonso Agnew, Gulhan Alpargu, Scott Annin, George Arthur, Sam Behseta, Martin Bonsangue, Alain Bourget, Todd CadwalladerOlsker, Cherlyn Converse, Paul De Land, Harriet Edwards, Nicole Engelke, Gerald Gannon, William Gearhart, Stephen Goode, Zair Ibragimov, Mortaza Jamshidian, Margaret Kidd, Patrick Kimani,Vuryl Klassen, Stephen Lancaster, Charles H. Lee, Kathy Lewis, HeeJeong Lim, Armando Martinez-Cruz, Tyler McMillen, A. Loc Nguyen, David Pagni, John Pierce, Angel Pineda, Maijian Qian, Nashat Saweris, Harris Shultz, Ernie Solheid, Bogdan Suceava, Hassan Yousefi

INTRODUCTION

The Department of Mathematics offers a standard undergraduate major program in mathematics with concentrations in pure mathematics, applied mathematics, probability and statistics and teaching mathematics. Courses are provided to satisfy the needs of:

Students planning graduate study in mathematics

Students planning to use mathematics in a career in business, industry or government

Students planning to teach at the elementary or secondary level

Students majoring in a discipline using mathematics as an analytic or descriptive tool

All major programs are designed to give sufficient breadth and depth in the study of mathematics to prepare students for subsequent graduate study in mathematics or related areas.

BACHELOR OF ARTS IN MATHEMATICS

The requirements for the Bachelor of Arts in Mathematics consist of:

The core mathematics courses for the major (28 units).

Courses in one of four possible concentrations: Pure Mathematics, Applied Mathematics, Probability and Statistics or Teaching Mathematics (18-20 units). The Pure Mathematics concentration is designed for students planning on graduate study. The Applied and the Probability and Statistics concentrations provide the mathematics needed for certain careers in industry and government. For students interested in teaching in elementary or secondary schools, the Teaching concentration may be combined with programs leading to a teaching credential to meet both university degree requirements and California credential law.

A computer programming course selected from Mathematics 320 Introduction to Mathematical Computation, Computer Science 120 Introduction to Programming or Comp Sci 121 Programming Concepts (3 units).

Courses in one of nine cognates selected from the disciplines of Actuarial Science, Chemistry, Civil Engineering, Computer Science, Economics, Information Systems and Decision Sciences, Mathematics, Physics or Research (9-11). Students selecting the Computer Science cognate are required to take Computer Science 120 or 121. Students may not double count Mathematics 320 for the Mathematics cognate and the programming requirement.

Math 380 the History of Mathematics, which fulfills the University’s upper division writing requirement (3 units).

Total units needed to complete the B.A. in Mathematics are 120, which include the 61–66 units required for the major, 51 units required for general education and units earned in elective courses (3-8 units). Each course required for the major must be completed with a grade of “C” (2.0) or better, and may not be taken on a credit/no credit basis. Courses required for the major may not be challenged by examination.

During their first year of study, each student will develop an individual study plan in consultation with an academic adviser in the Mathematics Department. Normally, mathematics majors take Mathematics 150A and150B in their first year. In the second year mathematics majors normally take Mathematics 250A, 250B and 280. Mathematics 150A may also be used to satisfy the general education requirement in Disciplinary Learning.

Core Requirements (28 units)

All students are required to complete the following 28 units:

Math 150A,B Calculus (8)

Math 250A Multivariate Calculus (4)

Math 250B Introduction to Linear Algebra and Differential Equations (4)

Math 280 Strategies of Proof (3)

Math 307 Linear Algebra (3)

Math 335 Mathematical Probability (3)

Math 350 Advanced Calculus I (3)

Additional Requirements (18-20 units)

Each student is required to complete one of the following concentrations:

Pure Mathematics Concentration (18 units)

Math 302 Modern Algebra (3)

Math 414 Topology (3)

Math 450 Advanced Calculus II (3)

Three of the following:

Math 407 Abstract Algebra (3)

Math 412 Complex Analysis (3)

Math 425 Differential Geometry (3)

Math 430 Number Theory (3)

Math 471 Combinatorics (3)

Applied Mathematics Concentration (18 units)

Math 306 Vector and Tensor Analysis (3)

Math 310 Ordinary Differential Equations (3)

Math 340 Numerical Analysis (3)

Three from the following list, with at least two at the 400 level:

Math 370 Mathematical Model Building (3)

Math 375 Discrete Dynamical Systems and Chaos (3)

Math 406 Introduction to Partial Differential Equations (3)

Math 412 Complex Analysis (3)

Math 425 Differential Geometry (3)

Math 440 Advanced Numerical Analysis (3)

Math 470 Advanced Mathematical Model Building (3)

Probability and Statistics Concentration (20 units)

Math 338 Statistics Applied to Natural Sciences (4)

Math 435 Mathematical Statistics (3)

Math 436 Advanced Applied Statistics (4)

Math 438 Introduction to Stochastic Processes (3)

Math 439 Intermediate Data Analysis (3)

And one of the following:

Math 340 Numerical Analysis (3)

Math 370 Mathematical Model Building (3)

Math 390 Introduction to Actuarial Science (3)

Teaching Mathematics Concentration (18-19 units)

Math 302 Modern Algebra (3)

Math 338 Statistics Applied to Natural Sciences (4)

**OR** Math 370 Mathematical Model Building (3)

**OR** Math 375 Discrete Dynamical Systems and Chaos (3)

Math 401 Algebra and Probability for the Secondary Teacher (3)

Math 402 Logic and Geometry for the Secondary Teacher (3)

Two of the following:

Math 407 Abstract Algebra (3)

Math 414 Topology (3)

Math 417 Foundations of Geometry (3)

Math 430 Number Theory (3)

Math 471 Introduction to Combinatorics (3)

Cognates (9-11 units)

Each student is required to complete one of the following cognates:

Actuarial Cognate (9 units)

Finance 320 Business Finance (3) and one of the following options:

Two of the following:

Finance 332 Theory of Corporate Finance (3)

Finance 340 Introduction to Investments (3)

Finance 360 Principles of Insurance (3)

**OR** InfoSys/DecSci 361B Quantitative Business Analysis:

Statistics and Management Science (3) and

InfoSys/DecSci 440 Integrative Decision Tools for

Business Operations (3)

Computer Science Cognate (10 units)

Comp Sci 131 Data Structures Concepts (3)

Any one of the Comp Sci 223 courses (3)

Comp Sci 240 Computer Organization and Assembly Language (3)

**OR** Comp Sci 332 File Structures and Database Systems (3)

Comp Sci 253U Workshop in UNIX (1)

Economics Cognate (9 units)

Economics 201 Principles of Microeconomics (3)

Economics 202 Principles of Macroeconomics (3)

One of the following:

Economics 310 Intermediate Microeconomic Analysis (3)

Economics 320 Intermediate Macroeconomics Analysis (3)

Economics 440 Econometrics (3)

Economics 441 Mathematical Economics (3)

Information Systems and Decision Sciences Cognate (9 units)

Three from the following:

InfoSys/DecSci 422 Surveys and Sampling Design and Applications (3)

InfoSys/DecSci 465 Linear Programming in Management Science (3)

InfoSys/DecSci 467 Statistical Quality Control (3)

InfoSys/DecSci 472 Design of Experiments (3)

InfoSys/DecSci 474 Data Mining (3)

InfoSys/DecSci 475 Multivariate Analysis (3)

InfoSys/DecSci 490 Queuing and Stochastic Models in Management Science (3)

Physics Cognate (11 units)

Physics 225 Fundamental Physics: Mechanics (3)

Physics 225L Fundamental Physics: Laboratory (1)

Physics 226 Fundamental Physics: Electricity and Magnetism (3)

Physics 226L Fundamental Physics: Laboratory (1)

Physics 227 Fundamental Physics: Waves, Optics and Modern Physics (3)

Chemistry Cognate (10 units)

Chemistry 120A General Chemistry (5)

Chemistry 120B General Chemistry (5)

Civil Engineering Cognate (9 units)

EGCE 201 Statics (3)

EGCE 301 Mechanics of Materials (3)

One of the following:

EGCE 302 Dynamics (3)

EGCE 325 Structural Analysis (3)

Mathematics Cognate (9 units)

Three upper-division courses in Mathematics from one of the four concentrations of the Mathematics major other than the student’s own concentration.

Research Cognate (9 units)

The research cognate is intended for students who would benefit more from research and a thesis than a standard cognate; for example, a student intending to enter graduate school in mathematics. The research student/adviser connection must be established by mutual consent, and prior to enrollment in cognate courses, the undergraduate research committee must approve a cognate plan. The student must pass a thesis defense at the end of the term in which the final cognate courses are completed. Although only one unit of seminar is formally required, it is strongly encouraged that the seminar course be taken during the entire research cognate process. Students should begin the cognate no later than their junior year.

Math 491 Research Seminar (1)

Math 497 Undergraduate Research (3,3)

Math 498 Senior Thesis (2)

Writing Requirement

Math 380 will satisfy the University’s upper-division writing requirement for mathematics majors.

Internships in Mathematics

Internships in applied mathematics provide work experience in advanced mathematics through positions in business, industry or government. Students should contact the Center for Internships and Cooperative Education, LH-206.

MINOR IN MATHEMATICS

The mathematics minor consists of 25 units of coursework, which must include Math 150A,B, 250A,B and at least nine units of upper-division mathematics. Math 303A,B, 380, 401, 402, 403A,B, 495, 496 or 499 may not be used to fulfill the requirements for the minor in mathematics. All courses must be completed with a grade of “C” (2.0) or better.

MINOR IN MATHEMATICS FOR TEACHER EDUCATION

1. For elementary education, the minor consists of 20 units of coursework selected from the courses offered by the Department of Mathematics. The courses must include Mathematics 150B or 338 and Mathematics 303A,B. All courses must be completed with a grade of “C” (2.0) or better.

2. For secondary education the minor consists of 22 units of coursework selected from the courses offered by the Department of Mathematics. The courses must include Mathematics 250B and six units of upper-division courses in mathematics. All courses must be completed with a grade of “C” (2.0) or better.

SINGLE SUBJECT TEACHING REQUIREMENT IN MATHEMATICS

The Department of Mathematics offers coursework meeting the requirements for California single subject credential in mathematics. For CSUF to recommend this credential, an individual must have completed the department’s state-approved Single Subject Matter Preparation Program or equivalent, and have completed the two-semester math education and teacher education program, which includes methodology coursework and the student teaching experience. Students may enter this program in either the fall or spring semester. Students should contact the Department of Secondary Education for information on the application process and orientation meetings.

MASTER OF ARTS IN MATHEMATICS

The M.A. in Mathematics provides advanced study for students with one or more of the following interests: a Ph.D. program in mathematics or mathematics education, teaching in high school or community college, or using mathematical analysis in government, business or industry. Two options are offered under the M.A. program – Teaching and Applied Mathematics – in addition to a Special Topics program.

The Teaching option is designed for those individuals who are presently teaching mathematics at the secondary or community college level. Students must have completed courses in linear algebra, modern algebra and advanced calculus with at least a “B” (3.0) average. In addition, students should have completed a minimum of one year of full-time teaching.

The Applied Mathematics option is designed specifically for individuals who are seeking, or who currently hold, positions that involve mathematics or quantitative applications. Students must have completed one semester of mathematical probability and one semester of advanced calculus with grades of “B” (3.0) or better in each course. Students must also have computer programming experience. This requirement can be satisfied by completing Computer Science 120, 121 or Mathematics 320, or by coursework or work experience approved as equivalent by the graduate committee.

The Special Topics program allows the student under certain circumstances to develop a personalized study plan in order to pursue advanced work in mathematics. The courses must be selected from our regular offerings at the undergraduate and graduate level.

Admission Requirements

Students are admitted in conditionally classified standing when the following requirements have been met:

A bachelor’s degree from an accredited institution

A grade-point average of at least 2.5 in the last 60 semester units attempted

Good standing at the last college attended

An undergraduate major in mathematics with a 3.0 in all upper-division mathematics courses, or a combination of previous coursework and work experience approved as equivalent by the graduate committee of the Mathematics Department

Classified Standing

A student’s status is changed to classified standing when the following requirements have been met:

Completion of all prerequisites and/or deficiencies, including the University Writing Requirement

Development of a study plan approved by the Mathematics Department and Academic Programs. The study plan should be developed prior to the completion of nine units.

Teaching Option

This option, designed for mathematics teachers, requires 30 units of graduate study approved by the graduate committee. At least 16 of these units must be 500-level mathematics courses. The following coursework must be included:

Math 581 Studies in Geometry (3)

Math 582 Studies in Algebra (3)

Math 584 Studies in Analysis (3)

Math 586 Studies in Discrete Mathematics (3)

Math 587 Studies in Mathematical Problem Solving (3)

Math 599 Independent Graduate Research (3-6)

Each student will be required to take adviser-approved mathematics electives to meet the 30-unit requirement, and pass a set of four comprehensive exams. Comprehensive exams may be taken no more than twice.

Applied Mathematics Option

The courses for this option have been developed in consultation with mathematicians and scientists in the local industrial community and are specifically intended for individuals who are seeking positions, or who currently hold positions, that involve mathematics or quantitative applications. The subject matter emphasizes modern practical applied mathematics, modeling, problem solving and computation. The culminating experience is a project in which students have the opportunity of working in teams on a real world problem, contracted and paid for by a local industrial firm. Students normally begin this program in the fall semester. All classes are scheduled in the evening and can be taken in sequence in two calendar years, summers included.

Math 489A,B Applicable Analysis and Linear Algebra (3,3)

Math 501A,B Numerical Analysis and Computation I and II (3,3)

Math 502A,B Probability and Statistics I and II (3,3)

Math 503A,B Mathematical Modeling I and II (3,3)

Math 504A,B Simulation Modeling and Analysis (3,3)

Math 597 Project (6)

Special Topics Program

The Special Topics program requires a study plan with a minimum of 30 units of coursework, planned by the student and the student’s adviser and approved by the graduate committee of the Mathematics Department. At least 16 of these units must be 500-level mathematics courses. Some of the 500-level courses may be accompanied by one unit of Mathematics 599 Independent Graduate Research. Students will also be required to pass a set of comprehensive exams or complete a six-unit project.

Application Deadline

The deadlines for completing online applications are March 1 for the fall semester and October 1 for the spring semester (see http://www.csumentor.edu). Mailed applications need to be postmarked by the same deadlines. However, deadlines may be changed based upon enrollment projections.

Additional Information

Part-time teaching opportunities and research assistantships are available for selected graduate students. For more information, contact the Department of Mathematics.

MATHEMATICS COURSES

Courses are designated as MATH in the class schedule.

MATHEMATICS EDUCATION COURSES

Courses are designated as MAED in the class schedule.