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| Note: This page contains 2007/08 Undergraduate Catalog Data. |
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Department of
Mathematics
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The degree programs presuppose seven semesters of high school level mathematics: algebra (2 years), plane geometry (1 year), and trigonometry (1/2 year); solid geometry and physics are desirable. Deficiencies may be made up by proper selection of courses in the lower division. Recommended courses in lower-division supporting fields are one year of computer science, or economic theory, or general physics with calculus.
Courses in mathematical computing, mathematics, operations research and statistics are designed to provide quality undergraduate training in the mathematical sciences and to serve the needs of majors in mathematics, the natural and social sciences, and other fields. The degree programs of the Department of Mathematics provide preparation for various careers in the mathematical sciences.
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Bachelor of Arts or Bachelor of Science
in Mathematics
Requirements
- Complete University General Education Breadth Requirements for a baccalaureate
degree (51 units minimum).
- Complete the following prerequisites to the major (21, 24, or 26 units):
MATH 1410, 1420 Calculus, I, II, 8 units
MATH 1620 Probability and Statistics, 4 units
MATH 2410 Multivariate Calculus, 4 units
MATH 2460 Introduction to Differential Equations, 2 units
MATH 2530 Linear Algebra, 3 units
Bachelor of Arts in Mathematics with the Mathematics Subject Matter Preparation Program (SMPP) also requires completion of:
CS 1500/1502 Computer Programming I and Lab, 3 units
MATH 1412 Calculus I Laboratory, 1 unit
MATH 1422 Calculus II Laboratory, 1 unit
Bachelor of Science in Mathematics also requires completion of:
CS 1500/1502 Computer Programming I and Lab, 3 units
- Complete the major of not less than 30 upper-division units in mathematics. All courses which apply to the major must be completed with a grade of C– or better.
- Complete the following upper-division courses and units for the desired degree program:
- Bachelor of Arts (without the Mathematics Subject Matter Preparation Program)
- Complete the following courses (18 units):
MATH 3400 Set Theory and Logic, 3 units
MATH 3600 Theory of Numbers, 3 units
MATH 4130 Real Analysis I, 3 units
MATH 4140 Real Analysis II, 3 units
MATH 4530 Abstract Algebra, 3 units
MATH 4600 Complex Variables, 3 units
- Complete two of the following courses (6 units):
MATH 3230 Differential Equations, 3 units
MATH 4330 Numerical Analysis, 3 units
MATH 4430 Operations Research, 3 units
MATH 4630 Probability Theory, 3 units
- Complete selected upper-division courses as approved by the major adviser so the total upper-division units in mathematics is 30 (6 elective units).
- Bachelor of Arts with the Mathematics Subject Matter Preparation Program
- Complete the following courses (28 units):
MATH 3060 Modern Geometry, 3 units
MATH 3110 History of Mathematics, 3 units
MATH 3400 Set Theory and Logic, 3 units
MATH 3600 Theory of Numbers, 3 units
MATH 4020 Mathematics for Secondary Teachers, 3 units
MATH 4022 Mathematics for Secondary Teachers Laboratory, 1 unit
MATH 4130 Real Analysis I, 3 units
MATH 4530 Abstract Algebra, 3 units
MATH 4630 Probability Theory, 3 units
MATH 4960 Senior Seminar in Mathematics (WP), 3 units
- One elective selected from the following (3 units):
MATH 3230 Differential Equations, 3 units
MATH 4330 Numerical Analysis, 3 units
MATH 4430 Operations Research, 3 units
MATH 4600 Complex Variables, 3 units
- Bachelor of Science in Mathematics
- Complete the following courses (24 units):
MATH 3230 Differential Equations, 3 units
MATH 3400 Set Theory and Logic, 3 units
MATH 4130 Real Analysis I, 3 units
MATH 4330 Numerical Analysis, 3 units
MATH 4430 Operations Research, 3 units
MATH 4530 Abstract Algebra, 3 units
MATH 4600 Complex Variables, 3 units
MATH 4630 Probability Theory, 3 units
- Complete selected upper-division courses as approved by the major adviser so the total upper-division units in mathematics is 30 (6 elective units)
- The following are strongly recommended for all mathematics majors:
- Satisfy the university upper-division writing proficiency requirement by completing MATH 4960 Senior Seminar in Mathematics.
- Depending on the student’s interest and professional objectives, complete one
of the following sequences of courses outside the discipline of mathematics:
CS 1500, 2500 Computer Programming I, II, 6 units
ECON 2500, 2510 Principles of Macroeconomics,
Principles of Microeconomics, 6 units
PHYS 2250, 2260 General Physics I, II, 8 units
Mathematics Subject Matter
Preparation Program
Fulfills subject matter competency prerequisite for entrance into a credential program for a single subject teaching credential in mathematics.
Complete the following courses and other requirements:
- Core (36 units):
MATH 1410 Calculus I, 4 units
MATH 1420 Calculus II, 4 units
MATH 1620 Probability and Statistics, 4 units
MATH 2410 Multivariate Calculus, 4 units
MATH 2460 Introduction to Differential Equations, 2 units
MATH 2530 Linear Algebra, 3 units
MATH 3060 Modern Geometry, 3 units
MATH 3110 History of Mathematics, 3 units
MATH 3400 Set Theory and Logic, 3 units
MATH 3600 Theory of Numbers, 3 units
MATH 4530 Abstract Algebra, 3 units - Breadth and Perspective (21 units):
CS 1500/1502 Computer Programming I and Lab, 3 units
MATH 1412 Calculus I Laboratory, 1 unit
MATH 1422 Calculus II Laboratory, 1 unit
MATH 4020 Mathematics for Secondary Teachers, 3 units
MATH 4022 Mathematics for Secondary Teachers Laboratory, 1 unit
MATH 4130 Real Analysis I, 3 units
MATH 4630 Probability Theory, 3 units
MATH 4960 Senior Seminar in Mathematics (WP), 3 units
One elective selected from the following:
MATH 3230 Differential Equations, 3 units
MATH 4330 Numerical Analysis, 3 units
MATH 4430 Operations Research, 3 units
MATH 4600 Complex Variables, 3 units
- Other Requirements:
A student must meet specified academic standards to obtain department certification for having completed the Mathematics Subject Matter Preparation Program. A brochure describing the program is available from the Department of Mathematics.
Minor in Mathematics
Requirements (20 units)
- Complete MATH 1410, 1420 Calculus I, II, 8 units
- Select upper-division courses in mathematics as approved by the minor adviser, for a minimum of 12 units.
Liberal Studies Concentration in Mathematics
Please refer to the Liberal Studies section of this catalog.
Teaching Credentials
Majors in mathematics interested in multiple subject or single subject credentials are referred to the College of Education section of the Graduate Catalog for a description of teaching credential programs. Students may fulfill the subject matter prerequisites to enter a teaching credential program to obtain a single subject teaching credential in mathematics by completing the Mathematics Subject Matter Preparation Program previously described.
Learning Objectives
Students will be able to:
- Use problem-solving techniques to solve both standard and nonstandard mathematical problems.
- Use mathematical models to represent and solve real-world problems.
- Use appropriate technology for solving mathematical problems.
- Apply mathematical reasoning in solving complex problems.
- Develop enthusiasm and an appreciation for studying and applying mathematics.
- Read and write mathematical proofs.
- Effectively communicate mathematical concepts in written and oral form.
- Demonstrate understanding of the theory, techniques, and applications of calculus and differential equations, linear algebra, geometry, statistics, and abstract algebra.
In addition, students in the Subject Matter Preparation Program (SMPP) will be able to:
- Explain, using a multitude of methods, mathematical concepts taught in secondary education.
- Make written and oral presentations explaining mathematical concepts, ideas, and techniques.
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