# MATH - Mathematics

To view planned offerings for the current academic year, please visit this page.## MATH 2 College Algebra for Calculus

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 100 or higher. Students may not enroll in or receive credit for MATH 2 after receiving credit with a 'C' or better in AM 3, MATH 3, AM 11A, MATH 11A, MATH 19A, MATH 20A or equivalents.

## MATH 2S College Algebra for Calculus

### Credits

#### Requirements

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

## MATH 2T Preparatory Math: Tutorial

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#### Instructor

The Staff

#### Requirements

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

#### Repeatable for credit

Yes

## MATH 3 Precalculus

Inverse functions and graphs; exponential and logarithmic functions, their graphs, and use in mathematical models of the real world; rates of change; trigonometry, trigonometric functions, and their graphs; and geometric series. Students cannot receive credit for both MATH 3 and AM 3.

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 2 or mathematics placement (MP) score of 200 or higher. Students may not enroll in or receive credit for MATH 3 after receiving credit with a 'C' or better in AM 11A, ECON 11A, MATH 11A, MATH 19A, MATH 20A or equivalents.

#### General Education Code

MF

## MATH 4 Mathematics of Choice and Argument

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### 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

## MATH 11B Calculus with Applications

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#### Instructor

The Staff

#### 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

## MATH 16A Mathematics for Life and Environmental Sciences

### 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

## MATH 16B Mathematics for Life and Environmental Sciences

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#### Requirements

Prerequisite(s): MATH 16A.

#### General Education Code

MF

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

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#### Instructor

The Staff

#### 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

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

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#### Instructor

The Staff

#### 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

## MATH 20A Honors Calculus

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 20A.

#### General Education Code

MF

## MATH 21 Linear Algebra

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#### Instructor

The Staff

#### General Education Code

MF

## MATH 22 Introduction to Calculus of Several Variables

Functions of several variables. Continuity and partial derivatives. The chain rule, gradient and directional derivative. Maxima and minima, including Lagrange multipliers. The double and triple integral and change of variables. Surface area and volumes. Applications from biology, chemistry, earth sciences, engineering, and physics. Students cannot receive credit for this course and MATH 23A.

### Credits

#### Instructor

The Staff

#### 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

## MATH 23A Vector Calculus

Vectors in n-dimensional Euclidean space. The inner and cross products. The derivative of functions from n-dimensional to m-dimensional Euclidean space is studied as a linear transformation having matrix representation. Paths in 3-dimensions, arc length, vector differential calculus, Taylor's theorem in several variables, extrema of real-valued functions, constrained extrema and Lagrange multipliers, the implicit function theorem, some applications. Students cannot receive credit for this course and MATH 22 or AM 30.

### Credits

#### Instructor

The Staff

#### General Education Code

MF

## MATH 23B Vector Calculus

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 23A.

#### General Education Code

MF

## MATH 24 Ordinary Differential Equations

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The Staff

## MATH 99 Tutorial

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#### Instructor

The Staff

## MATH 99F Tutorial

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#### Instructor

The Staff

#### Repeatable for credit

Yes

## MATH 100 Introduction to Proof and Problem Solving

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#### Instructor

The Staff

#### 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

## MATH 101 Mathematical Problem Solving

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The Staff

#### Requirements

Prerequisite(s): MATH 100.

#### General Education Code

PR-E

## MATH 103A Complex Analysis

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The Staff

## MATH 103B Complex Analysis II

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The Staff

#### Requirements

Prerequisite(s): MATH 103A.

## MATH 105A Real Analysis

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The Staff

## MATH 105B Real Analysis

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 105A.

## MATH 105C Real Analysis

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 105B.

## MATH 106 Systems of Ordinary Differential Equations

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#### Instructor

The Staff

#### Requirements

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

## MATH 107 Partial Differential Equations

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#### Instructor

The Staff

#### 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.

## MATH 110 Introduction to Number Theory

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The Staff

## MATH 111A Algebra

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## MATH 111B Algebra

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 111A.

## MATH 111T Algebra

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 100.

## MATH 114 Introduction to Financial Mathematics

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## MATH 115 Graph Theory

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## MATH 116 Combinatorics

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The Staff

#### Requirements

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

## MATH 117 Advanced Linear Algebra

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The Staff

## MATH 118 Advanced Number Theory

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## MATH 120 Coding Theory

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21.

## MATH 121A Differential Geometry

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21 or AM 10, and MATH 23B, and either MATH 100 or CSE 101. MATH 105A strongly recommended.

## MATH 121B Differential Geometry and Topology

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The Staff

#### Requirements

Prerequisite(s): MATH 121A.

## MATH 124 Introduction to Topology

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The Staff

## MATH 125 Applied Topology

Introduction to the theoretical foundations of topological data analysis (TDA), which is the study of datasets using tools from topology. Includes

some classical material from topology, elements of homological algebra and an introduction to the notion of persistence.

### Credits

#### Requirements

Prerequisite(s): Math 117.

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

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The Staff

## MATH 128B Classical Geometry: Projective

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21.

## MATH 129 Algebraic Geometry

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 100.

## MATH 130 Celestial Mechanics

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#### Instructor

The Staff

#### 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

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The Staff

## MATH 140 Industrial Mathematics

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The Staff

## MATH 145 Introductory Chaos Theory

The Lorenz and Rossler attractors, measures of chaos, attractor reconstruction, and applications from the sciences.

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 22 or MATH 23A; MATH 21 or AM 10; MATH 100 or CSE 101. Concurrent enrollment in MATH 145L is required.

## MATH 145L Introductory Chaos Laboratory

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#### Instructor

The Staff

#### Requirements

Concurrent enrollment in MATH 145 is required.

## MATH 148 Numerical Analysis

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 22 or MATH 23A; and MATH 21 or AM 10; and MATH 24 or AM 20; and MATH 103A or MATH 105A or MATH 152 or AM 147 or CSE 101. Concurrent enrollment in MATH 148L is required.

## MATH 148L Numerical Analysis Laboratory

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#### Instructor

The Staff

#### Requirements

Concurrent enrollment in MATH 148 is required.

## MATH 152 Programming for Mathematics

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 100.

#### General Education Code

MF

## MATH 160 Mathematical Logic I

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The Staff

## MATH 161 Mathematical Logic II

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#### Instructor

The Staff

#### Requirements

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

## MATH 162 Introduction to Computably Enumerable Functions and Sets and their Degrees

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## MATH 181 History of Mathematics

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#### Instructor

The Staff

#### Requirements

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

#### General Education Code

TA

## MATH 192 Dir Stu Teach

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#### Instructor

The Staff

## MATH 194 Senior Seminar

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#### Instructor

The Staff

#### Requirements

Prerequisite(s): satisfaction of the Entry Level Writing and Composition requirements; MATH 103A or MATH 105A or MATH 110 or MATH 111A or MATH 111T or MATH 117. Enrollment priority is given to seniors; juniors may request permission from the undergraduate vice chair.

## MATH 195 Senior Thesis

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The Staff

#### Repeatable for credit

Yes

## MATH 199 Tutorial

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The Staff

#### Repeatable for credit

Yes

## MATH 199F Tutorial

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#### Instructor

The Staff

#### Repeatable for credit

Yes

## MATH 200 Algebra I

### Credits

#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 201 Algebra II

### Credits

#### Instructor

The Staff

#### Requirements

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

## MATH 202 Algebra III

### Credits

#### Instructor

The Staff

#### Requirements

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

## MATH 203 Algebra IV

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#### Instructor

The Staff

#### Requirements

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

## MATH 204 Analysis I

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#### Instructor

The Staff

#### Requirements

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

## MATH 205 Analysis II

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

### Credits

#### Instructor

The Staff

#### Requirements

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

## MATH 206 Analysis III

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#### Instructor

The Staff

#### Requirements

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

## MATH 207 Complex Analysis

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#### Instructor

The Staff

#### Requirements

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

## MATH 208 Manifolds I

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 209 Manifolds II

### Credits

#### Instructor

The Staff

#### Requirements

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

## MATH 210 Manifolds III

### Credits

#### Instructor

The Staff

#### Requirements

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

## MATH 211 Algebraic Topology

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#### Instructor

The Staff

#### Requirements

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

## MATH 212 Differential Geometry

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#### Instructor

The Staff

#### Requirements

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

## 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

#### Instructor

The Staff

#### Requirements

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

## MATH 213B Partial Differential Equations II

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#### Instructor

The Staff

#### Requirements

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

## MATH 214 Theory of Finite Groups

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#### Instructor

The Staff

#### Requirements

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

## MATH 215 Operator Theory

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### 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

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The Staff

## MATH 219 Nonlinear Functional Analysis

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 220A Representation Theory I

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### Requirements

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

## MATH 222A Algebraic Number Theory

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 222B Algebraic Number Theory

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 223A Algebraic Geometry I

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 223B Algebraic Geometry II

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 225A Lie Algebras

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#### Instructor

The Staff

#### Requirements

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

## MATH 225B Infinite Dimensional Lie Algebras

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The Staff

#### Requirements

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

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

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

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

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 227 Lie Groups

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The Staff

#### Requirements

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

## MATH 228 Lie Incidence Geometries

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The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 229 Kac-Moody Algebras

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 232 Morse Theory

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 235 Dynamical Systems Theory

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The Staff

## MATH 238 Elliptic Functions and Modular Forms

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#### Instructor

The Staff

#### 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

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The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 240A Representations of Finite Groups I

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Quarter offered

Winter

## MATH 240B Representations of Finite Groups II

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#### Instructor

The Staff

#### 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

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#### Instructor

The Staff

#### Requirements

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

## MATH 248 Symplectic Geometry

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#### Instructor

The Staff

#### Requirements

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

## MATH 249A Mechanics I

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#### Instructor

The Staff

#### Requirements

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

## MATH 249B Mechanics II

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 249C Mechanics III

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 252 Fluid Mechanics

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#### Instructor

The Staff

#### Requirements

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

## MATH 254 Geometric Analysis

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#### Instructor

The Staff

#### Requirements

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

## MATH 256 Algebraic Curves

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#### Instructor

The Staff

#### 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

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The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 264 Inverse Problems and Integral Geometry

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 280 Topics in Analysis

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 281 Topics in Algebra

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 282 Topics in Geometry

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 283 Topics in Combinatorial Theory

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 284 Topics in Dynamics

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 285 Topics in Partial Differential Equations

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 286 Topics in Number Theory

### Credits

#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 287 Topics in Topology

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#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

#### Repeatable for credit

Yes

## MATH 288A Pedagogy of Mathematics

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The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 288B Pedagogy of Mathematics

### Credits

#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 292 Seminar

### Credits

#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 296 Special Student Seminar

### Credits

#### Instructor

The Staff

#### Requirements

Enrollment is restricted to graduate students.

## MATH 297A Independent Study

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes

## MATH 297B Independent Study

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes

## MATH 297C Independent Study

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes

## MATH 298 Master's Thesis Research

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The Staff

## MATH 299A Thesis Research

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes

## MATH 299B Thesis Research

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes

## MATH 299C Thesis Research

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes