# MATH - Mathematics

## MATH 2 College Algebra for Calculus

### Credits

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 100 or higher.

#### Quarter offered

Fall, Summer

## MATH 2S College Algebra for Calculus

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 100 or higher.

## MATH 2T Preparatory Math: Tutorial

### Credits

#### Instructor

Debra Lewis

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 100 or higher.

#### Repeatable for credit

Yes

#### Quarter offered

Fall

## MATH 3 Precalculus

### Credits

#### Requirements

Prerequisite(s): MATH 2 or mathematics placement (MP) score of 200 or higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 4 Mathematics of Choice and Argument

### Credits

#### Requirements

Prerequisite(s): MATH 2, or mathematics placement (MP) score of 200 or higher, or AP Calculus AB examination score of 3 or higher.

#### General Education Code

SR

## MATH 11A Calculus with Applications

### Credits

#### Requirements

Prerequisite(s): MATH 3 or AM 3; or mathematics placement (MP) score of 300 or higher; or AP Calculus AB exam score of 3 or higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 11B Calculus with Applications

### Credits

#### Requirements

Prerequisite(s): MATH 11A or MATH 19A or AM 15A or AP Calculus AB exam score of 4 or 5, or BC exam score of 3 or higher, or IB Mathematics Higher Level exam score of 5 or higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 19A Calculus for Science, Engineering, and Mathematics

### Credits

#### Requirements

Prerequisite(s): MATH 3; or mathematics placement (MP) score of 400 or higher; or AP Calculus AB exam score of 3 or higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 19B Calculus for Science, Engineering, and Mathematics

### Credits

#### Requirements

Prerequisite(s): MATH 19A or MATH 20A or AP Calculus AB exam score of 4 or 5, or BC exam score of 3 or higher, or IB Mathematics Higher Level exam score of 5 of higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 20A Honors Calculus

### Credits

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 500 higher; or AP Calculus AB examination score of 4 or 5; or BC examination of 3 or higher; or IB Mathematics Higher Level examination score of 5 or higher.

#### General Education Code

MF

## MATH 20B Honors Calculus

### Credits

#### Requirements

Prerequisite(s): MATH 20A.

#### General Education Code

MF

## MATH 21 Linear Algebra

### Credits

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 22 Introduction to Calculus of Several Variables

### Credits

#### Requirements

Prerequisite(s): MATH 11B or MATH 19B or MATH 20B or AM 15B or AP calculus BC exam score of 4 or 5.

#### General Education Code

MF

#### Quarter offered

Winter, Summer

## MATH 23A Vector Calculus

### Credits

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 23B Vector Calculus

### Credits

#### Requirements

Prerequisite(s): MATH 23A.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 24 Ordinary Differential Equations

### Credits

#### Quarter offered

Fall, Winter

## MATH 99 Tutorial

### Credits

#### Quarter offered

Fall, Winter, Spring

## MATH 99F Tutorial

### Credits

#### Repeatable for credit

Yes

#### Quarter offered

Fall, Winter, Spring

## MATH 100 Introduction to Proof and Problem Solving

### Credits

#### Requirements

Prerequisite(s): satisfaction of the Entry Level Writing and Composition requirements; MATH 11A or MATH 19A or MATH 20A; and MATH 21 or AM 10 or AMS 10A.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring

## MATH 101 Mathematical Problem Solving

### Credits

#### General Education Code

PR-E

#### Quarter offered

Fall

## MATH 103A Complex Analysis

### Credits

#### Quarter offered

Winter, Spring

## MATH 103B Complex Analysis II

### Credits

#### Requirements

Prerequisite(s): MATH 103A.

## MATH 105A Real Analysis

### Credits

#### Quarter offered

Fall, Winter

## MATH 105B Real Analysis

### Credits

#### Requirements

Prerequisite(s): MATH 105A.

#### Quarter offered

Spring

## MATH 105C Real Analysis

### Credits

#### Requirements

Prerequisite(s): MATH 105B.

## MATH 106 Systems of Ordinary Differential Equations

### Credits

#### Requirements

Prerequisite(s): MATH 21 or AM 10; and either MATH 24 or AM 20; and either MATH 100 or CSE 101.

#### Quarter offered

Winter

## MATH 107 Partial Differential Equations

### Credits

#### Requirements

Prerequisite(s): MATH 21 or AM 10; and MATH 24 or AM 20; and either MATH 100 or CSE 101; MATH 106 is recommended as preparation.

#### Quarter offered

Spring

## MATH 110 Introduction to Number Theory

### Credits

#### Quarter offered

Fall, Winter, Spring

## MATH 111A Algebra

### Credits

#### Quarter offered

Fall, Winter

## MATH 111B Algebra

### Credits

#### Requirements

Prerequisite(s): MATH 111A.

#### Quarter offered

Spring

## MATH 111T Algebra

### Credits

#### Requirements

Prerequisite(s): MATH 100.

#### Quarter offered

Spring

## MATH 114 Introduction to Financial Mathematics

### Credits

## MATH 115 Graph Theory

### Credits

#### Quarter offered

Winter

## MATH 116 Combinatorics

### Credits

#### Requirements

Prerequisite(s): MATH 100 or CSE 101. Enrollment is restricted to sophomores juniors, and seniors. Familiarity with basic group theory is recommended.

#### Quarter offered

Fall

## MATH 117 Advanced Linear Algebra

### Credits

#### Quarter offered

Fall, Spring

## MATH 118 Advanced Number Theory

### Credits

## MATH 120 Coding Theory

### Credits

#### Requirements

Prerequisite(s): MATH 21.

## MATH 121A Differential Geometry

### Credits

#### Requirements

Prerequisite(s): MATH 21 and MATH 23B and either MATH 100 or CSE 101. MATH 105A strongly recommended.

#### Quarter offered

Spring

## MATH 121B Differential Geometry and Topology

### Credits

#### Requirements

Prerequisite(s): MATH 121A.

## MATH 124 Introduction to Topology

### Credits

#### Quarter offered

Fall

## MATH 128A Classical Geometry: Euclidean and Non-Euclidean

### Credits

#### Quarter offered

Spring

## MATH 128B Classical Geometry: Projective

### Credits

#### Requirements

Prerequisite(s): MATH 21.

## MATH 129 Algebraic Geometry

### Credits

#### Quarter offered

Winter

## MATH 130 Celestial Mechanics

### Credits

#### Requirements

Prerequisite(s): MATH 19A and 19B; and MATH 23A or PHYS 5A or PHYS 6A; MATH 21 and MATH 24 strongly recommended.

## MATH 134 Cryptography

### Credits

#### Quarter offered

Fall, Summer

## MATH 140 Industrial Mathematics

### Credits

#### Instructor

The Staff

## MATH 145 Introductory Chaos Theory

### Credits

#### Requirements

Prerequisite(s): MATH 22 or MATH 23A; MATH 21; MATH 100 or CSE 101. Concurrent enrollment in MATH 145L is required.

## MATH 145L Introductory Chaos Laboratory

### Credits

#### Requirements

Concurrent enrollment in MATH 145 is required.

## MATH 148 Numerical Analysis

### Credits

#### Requirements

Prerequisite(s): MATH 22 or MATH 23A; and MATH 21 or AM 10; and MATH 24 or AM 20; and MATH 100 or CSE 101. Concurrent enrollment in MATH 148L is required.

#### Quarter offered

Spring

## MATH 148L Numerical Analysis Laboratory

### Credits

#### Requirements

Concurrent enrollment in MATH 148 is required.

#### Quarter offered

Spring

## MATH 152 Programming for Mathematics

### Credits

#### Requirements

Prerequisite(s): MATH 100.

## MATH 160 Mathematical Logic I

### Credits

## MATH 161 Mathematical Logic II

### Credits

#### Requirements

Prerequisite(s): MATH 100 or equivalent, or by permission of instructor.

#### Quarter offered

Spring

## MATH 181 History of Mathematics

### Credits

#### Requirements

Prerequisite(s): MATH 19B or MATH 20B. MATH 100 is strongly recommended for preparation.

#### General Education Code

TA

#### Quarter offered

Winter

## MATH 188 Supervised Teaching

### Credits

#### General Education Code

PR-S

#### Quarter offered

Fall, Winter, Spring

## MATH 192 Dir Stu Teach

### Credits

## MATH 194 Senior Seminar

### Credits

#### Requirements

Prerequisite(s): satisfaction of the Entry Level Writing and Composition requirements; MATH 103 or MATH 103A or MATH 105A or MATH 111A. Enrollment is priority given to seniors; juniors may request permission from the Undergraduate Vice Chair.

#### Quarter offered

Winter, Spring

## MATH 195 Senior Thesis

### Credits

#### Repeatable for credit

Yes

#### Quarter offered

Fall, Winter, Spring

## MATH 199 Tutorial

### Credits

#### Repeatable for credit

Yes

#### Quarter offered

Fall, Winter, Spring

## MATH 199F Tutorial

### Credits

#### Repeatable for credit

Yes

## MATH 200 Algebra I

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

#### Quarter offered

Fall

## MATH 201 Algebra II

### Credits

#### Requirements

Prerequisite(s): MATH 200 is recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 202 Algebra III

### Credits

#### Requirements

Prerequisite(s): MATH 201 is recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Spring

## MATH 203 Algebra IV

### Credits

#### Requirements

Prerequisite(s): MATH 200, MATH 201, and MATH 202. Enrollment is restricted to graduate students.

#### Quarter offered

Fall

## MATH 204 Analysis I

### Credits

#### Requirements

Prerequisite(s): MATH 105A and MATH 105B are recommended as preparation.Enrollment is restricted to graduate students.

#### Quarter offered

Fall

## MATH 205 Analysis II

^{p}spaces, derivative of a measure, the Radon-Nikodym theorem, and the fundamental theorem of calculus.

### Credits

#### Requirements

Prerequisite(s): MATH 204. Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 206 Analysis III

### Credits

#### Requirements

Prerequisite(s): Courses 204 and 205 recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Spring

## MATH 207 Complex Analysis

### Credits

#### Requirements

Prerequisite(s): MATH 103 is recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 208 Manifolds I

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Fall

## MATH 209 Manifolds II

### Credits

#### Requirements

Prerequisite(s): MATH 208. MATH 201 is recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 210 Manifolds III

### Credits

#### Requirements

Prerequisite(s): MATH 208 and MATH 209 recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Spring

## MATH 211 Algebraic Topology

### Credits

#### Requirements

Prerequisite(s): MATH 200, MATH 201, and MATH 202 recommended as preparation. Enrollment is restricted to graduate students.

## MATH 212 Differential Geometry

### Credits

#### Requirements

Prerequisite(s): MATH 208. Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 213A Partial Differential Equations I

*Partial Differential Equations;*which includes transport equations; Laplace equations; heat equations; wave equations; characteristics of nonlinear first-order PDE; Hamilton-Jacobi equations; conservation laws; some methods for solving equations in closed form; and the Cauchy-Kovalevskaya theorem.

### Credits

#### Requirements

MATH 106 and MATH 107 are recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Fall

## MATH 213B Partial Differential Equations II

### Credits

#### Requirements

Prerequisite(s): MATH 106, MATH 107, and MATH 213A are recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Spring

## MATH 214 Theory of Finite Groups

### Credits

#### Requirements

Prerequisite(s): MATH 200 and MATH 201 recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 215 Operator Theory

### Credits

#### Requirements

Prerequisite(s): MATH 204, MATH 205, MATH 206, and MATH 207 are recommended as preparation. Enrollment is restricted to graduate students.

## MATH 216 Advanced Analysis

### Credits

#### Requirements

Prerequisite(s): MATH 204, MATH 205, and MATH 206 recommended as preparation. Enrollment is restricted to graduate students.

## MATH 217 Advanced Elliptic Partial Differential Equations

### Credits

#### Requirements

Prerequisite(s): MATH 204, MATH 205, and MATH 206 recommended as preparation. Enrollment is restricted to graduate students.

## MATH 218 Advanced Parabolic and Hyperbolic Partial Differential Equations

### Credits

## MATH 219 Nonlinear Functional Analysis

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 220A Representation Theory I

### Credits

#### Requirements

Prerequisite(s): MATH 200, MATH 201, and MATH 202. MATH 225A and MATH 227 recommended as preparation. Enrollment is restricted to graduate students.

## MATH 220B Representation Theory II

### Credits

#### Requirements

Prerequisite(s): MATH 220A. Enrollment is restricted to graduate students.

## MATH 222A Algebraic Number Theory

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Spring

## MATH 222B Algebraic Number Theory

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 223A Algebraic Geometry I

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Fall

## MATH 223B Algebraic Geometry II

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 225A Lie Algebras

### Credits

#### Requirements

Prerequisite(s): MATH 201 and MATH 202 recommended as preparation Enrollment is restricted to graduate students.

#### Quarter offered

Fall

## MATH 225B Infinite Dimensional Lie Algebras

### Credits

#### Requirements

Prerequisite(s): MATH 225A. Enrollment is restricted to graduate students.

## MATH 226A Infinite Dimensional Lie Algebras and Quantum Field Theory I

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 226B Infinite Dimensional Lie Algebras and Quantum Field Theory II

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 227 Lie Groups

### Credits

#### Requirements

Prerequisite(s): MATH 200, MATH 201, MATH 204, and MATH 208. Enrollment is restricted to graduate students.

#### Quarter offered

Spring

## MATH 228 Lie Incidence Geometries

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 229 Kac-Moody Algebras

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 232 Morse Theory

### Credits

#### Requirements

Prerequisite(s): MATH 208, MATH 209, MATH 210, MATH 211, and MATH 212 recommended as preparation. Enrollment is restricted to graduate students.

## MATH 233 Random Matrix Theory

### Credits

#### Requirements

Prerequisite(s): MATH 103, MATH 204, and MATH 205; MATH 117 recommended as preparation. Enrollment is restricted to graduate students.

## MATH 234 Riemann Surfaces

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 235 Dynamical Systems Theory

### Credits

## MATH 238 Elliptic Functions and Modular Forms

### Credits

#### Requirements

Prerequisite(s): MATH 200, MATH 201, MATH 202, and either MATH 207 or MATH 103A are recommended as preparation. Enrollment is restricted to graduate students.

## MATH 239 Homological Algebra

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 240A Representations of Finite Groups I

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 240B Representations of Finite Groups II

### Credits

#### Requirements

Prerequisite(s): MATH 200, MATH 201, MATH 202, MATH 203, and MATH 240A recommended. Enrollment is restricted to graduate students.

## MATH 246 Representations of Algebras

### Credits

#### Requirements

Prerequisite(s): MATH 200, MATH 201, and MATH 202. Enrollment is restricted to graduate students.

## MATH 248 Symplectic Geometry

### Credits

#### Requirements

Prerequisite(s): MATH 204; MATH 208 and MATH 209 are recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 249A Mechanics I

### Credits

#### Requirements

MATH 208 and MATH 209 recommended as preparation. Enrollment is restricted to graduate students.

## MATH 249B Mechanics II

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 249C Mechanics III

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 252 Fluid Mechanics

### Credits

#### Requirements

Prerequisite(s): MATH 106 and MATH 107 are recommended as preparation. Enrollment is restricted to graduate students.

## MATH 254 Geometric Analysis

### Credits

#### Requirements

MATH 204, MATH 205, MATH 209, MATH 212, and MATH 213 recommended as preparation. Enrollment is restricted to graduate students.

#### Quarter offered

Spring

## MATH 256 Algebraic Curves

### Credits

#### Requirements

MATH 200, MATH 201, MATH 202, MATH 203, MATH 204, and MATH 207 are recommended as preparation. Enrollment is restricted to graduate mathematics and physics students.

## MATH 260 Combinatorics

### Credits

#### Requirements

Enrollment is restricted to graduate students.

## MATH 264 Inverse Problems and Integral Geometry

### Credits

#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 280 Topics in Analysis

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 281 Topics in Algebra

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 282 Topics in Geometry

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 283 Topics in Combinatorial Theory

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 284 Topics in Dynamics

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 285 Topics in Partial Differential Equations

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 286 Topics in Number Theory

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 287 Topics in Topology

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 288A Pedagogy of Mathematics

### Credits

#### Instructor

Pedro Morales

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Fall

## MATH 288B Pedagogy of Mathematics

### Credits

#### Instructor

Pedro Morales

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 292 Seminar

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Fall, Winter, Spring

## MATH 296 Special Student Seminar

### Credits

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Fall, Winter, Spring

## MATH 297A Independent Study

### Credits

#### Repeatable for credit

Yes

## MATH 297B Independent Study

### Credits

#### Repeatable for credit

Yes

## MATH 297C Independent Study

### Credits

#### Repeatable for credit

Yes

## MATH 298 Master's Thesis Research

### Credits

#### Quarter offered

Fall, Winter, Spring

## MATH 299A Thesis Research

### Credits

#### Repeatable for credit

Yes

## MATH 299B Thesis Research

### Credits

#### Repeatable for credit

Yes

## MATH 299C Thesis Research

### Credits

#### Repeatable for credit

Yes