# Graduate

## 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