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## MATH 19:Calculus

Terms: Aut, Win, Sum | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 20:Calculus

Terms: Aut, Win, Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 21:Calculus

Terms: Win, Spr | Units: 4 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 41:Calculus (Accelerated)

Terms: Aut | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Yang, T. (PI)

## MATH 41A:Calculus ACE

Terms: Aut | Units: 6 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter (ABCD/NP)
Instructors: ; Yang, T. (PI)

## MATH 42:Calculus (Accelerated)

Terms: Aut, Win | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 42A:Calculus ACE

Terms: Aut, Win | Units: 6 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter (ABCD/NP)

## MATH 51:Linear Algebra and Differential Calculus of Several Variables

Terms: Aut, Win, Spr, Sum | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 51A:Linear Algebra and Differential Calculus of Several Variables, ACE

Terms: Aut, Win, Spr | Units: 6 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter (ABCD/NP)

## MATH 51H:Honors Multivariable Mathematics

Terms: Aut | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter (ABCD/NP)
Instructors: ; Vasy, A. (PI)

## MATH 51M:Introduction to MATLAB for Multivariable Mathematics

Terms: Aut | Units: 1 | Grading: Letter or Credit/No Credit
Instructors: ; Skryzalin, J. (PI)

## MATH 52:Integral Calculus of Several Variables

Terms: Aut, Win, Spr | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 52H:Honors Multivariable Mathematics

Terms: Win | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter (ABCD/NP)
Instructors: ; Eliashberg, Y. (PI)

## MATH 53:Ordinary Differential Equations with Linear Algebra

Terms: Aut, Win, Spr | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 53H:Honors Multivariable Mathematics

Terms: Spr | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter (ABCD/NP)

## MATH 70SI:The Game of Go: Strategy, Theory, and History

Terms: not given this year | Units: 1 | Grading: Satisfactory/No Credit

## MATH 78:Mathematics for Machine Learning

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 80Q:Capillary Surfaces: Explored and Unexplored Territory

Terms: Win | Units: 3 | UG Reqs: WAY-FR, WAY-SMA | Grading: Letter (ABCD/NP)
Instructors: ; Finn, R. (PI)

## MATH 87Q:Mathematics of Knots, Braids, Links, and Tangles

Terms: Win | Units: 3 | UG Reqs: WAY-FR | Grading: Letter (ABCD/NP)
Instructors: ; Wieczorek, W. (PI)

## MATH 101:Math Discovery Lab

Terms: Win | Units: 3 | UG Reqs: WAY-FR | Grading: Letter or Credit/No Credit

## MATH 104:Applied Matrix Theory

Terms: Win, Spr | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 106:Functions of a Complex Variable

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit
Instructors: ; Gu, Y. (PI)

## MATH 107:Graph Theory

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Fox, J. (PI); Wei, F. (TA)

## MATH 108:Introduction to Combinatorics and Its Applications

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 109:Applied Group Theory

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 110:Applied Number Theory and Field Theory

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Entin, A. (PI); Lim, B. (TA)

## MATH 113:Linear Algebra and Matrix Theory

Terms: Aut, Win, Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 114:Introduction to Scientific Computing (CME 108)

Terms: Win, Sum | Units: 3 | UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 115:Functions of a Real Variable

Terms: Aut, Spr | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 116:Complex Analysis

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 118:Mathematics of Computation

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 120:Groups and Rings

Terms: Aut, Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 121:Galois Theory

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 122:Modules and Group Representations

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Wilson, J. (PI); Wolf, A. (TA)

## MATH 131P:Partial Differential Equations I

Terms: Aut, Win | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 132:Partial Differential Equations II

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 136:Stochastic Processes (STATS 219)

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 137:Mathematical Methods of Classical Mechanics

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 138:Celestial Mechanics

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 142:Hyperbolic Geometry

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 143:Differential Geometry

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 145:Algebraic Geometry

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 146:Analysis on Manifolds

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 147:Differential Topology

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 148:Algebraic Topology

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 151:Introduction to Probability Theory

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 152:Elementary Theory of Numbers

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 154:Algebraic Number Theory

Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 155:Analytic Number Theory

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 158:Basic Probability and Stochastic Processes with Engineering Applications (CME 298)

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Gu, Y. (PI); Arndt, C. (TA)

## MATH 159:Discrete Probabilistic Methods

Terms: Aut | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Basu, R. (PI)

## MATH 161:Set Theory

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit
Instructors: ; Sommer, R. (PI); Wolf, A. (TA)

## MATH 162:Philosophy of Mathematics (PHIL 162, PHIL 262)

Terms: Aut | Units: 4 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit
Instructors: ; Donaldson, T. (PI)

## MATH 163:The Greek Invention of Mathematics (CLASSICS 136)

Terms: not given this year | Units: 3-5 | UG Reqs: GER:DB-Hum | Grading: Letter or Credit/No Credit

## MATH 171:Fundamental Concepts of Analysis

Terms: Aut, Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 172:Lebesgue Integration and Fourier Analysis

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit
Instructors: ; Entin, A. (PI); Cote, L. (TA)

## MATH 173:Theory of Partial Differential Equations

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Vasy, A. (PI); Gao, J. (TA)

## MATH 174:Calculus of Variations

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 175:Elementary Functional Analysis

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit
Instructors: ; Zhu, X. (PI); Cote, L. (TA)

## MATH 177:Geometric Methods in the Theory of Ordinary Differential Equations

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 180:Introduction to Financial Mathematics

Terms: alternate years, given next year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 193:Polya Problem Solving Seminar

Terms: Aut | Units: 1 | Repeatable for credit | Grading: Satisfactory/No Credit

## MATH 197:Senior Honors Thesis

Terms: Aut, Win, Spr | Units: 1-6 | Repeatable for credit | Grading: Letter (ABCD/NP)

## MATH 198:Practical Training

Terms: Aut, Win, Spr, Sum | Units: 1 | Repeatable for credit | Grading: Satisfactory/No Credit

## MATH 199:Independent Work

Terms: Aut, Win, Spr, Sum | Units: 1-3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 205A:Real Analysis

Terms: Aut | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 205B:Real Analysis

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Mazzeo, R. (PI); Raju, C. (TA)

## MATH 205C:Real Analysis

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 210A:Modern Algebra I

Terms: Aut | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Bump, D. (PI); Klang, I. (TA)

## MATH 210B:Modern Algebra II

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 210C:Lie Theory

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 215A:Complex Analysis, Geometry, and Topology

Terms: Aut | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 215B:Complex Analysis, Geometry, and Topology

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 215C:Complex Analysis, Geometry, and Topology

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 216A:Introduction to Algebraic Geometry

Terms: Aut | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Vakil, R. (PI); Zhou, Y. (TA)

## MATH 216B:Introduction to Algebraic Geometry

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 216C:Introduction to Algebraic Geometry

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Vakil, R. (PI); Pan, D. (TA)

## MATH 217C:Complex Differential Geometry

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 220:Partial Differential Equations of Applied Mathematics (CME 303)

Terms: Aut | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 221A:Mathematical Methods of Imaging (CME 321A)

Terms: alternate years, given next year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 221B:Mathematical Methods of Imaging (CME 321B)

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Papanicolaou, G. (PI)

## MATH 226:Numerical Solution of Partial Differential Equations (CME 306)

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Ying, L. (PI); Liu, F. (TA)

## MATH 227:Partial Differential Equations and Diffusion Processes

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 228:Stochastic Methods in Engineering (CME 308)

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 228A:Probability, Stochastic Analysis and Applications

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Papanicolaou, G. (PI)

## MATH 230A:Theory of Probability (STATS 310A)

Terms: Aut | Units: 2-4 | Grading: Letter or Credit/No Credit

## MATH 230B:Theory of Probability (STATS 310B)

Terms: Win | Units: 2-3 | Grading: Letter or Credit/No Credit

## MATH 230C:Theory of Probability (STATS 310C)

Terms: Spr | Units: 2-4 | Grading: Letter or Credit/No Credit

## MATH 231A:An Introduction to Random Matrix Theory (STATS 351A)

Terms: not given this year | Units: 3 | Grading: Letter (ABCD/NP)

## MATH 231C:Free Probability

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 232:Topics in Probability: Percolation Theory

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 233:Topics in Combinatorics: Non-constructive methods in combinatorics

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Vondrak, J. (PI)

## MATH 234:Large Deviations Theory (STATS 374)

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 235A:Topics in combinatorics

Terms: Aut | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Fox, J. (PI)

## MATH 235B:Modern Markov Chain Theory

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Diaconis, P. (PI)

## MATH 235C:Topics in Markov Chains

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Zheng, T. (PI)

## MATH 236:Introduction to Stochastic Differential Equations

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Papanicolaou, G. (PI)

## MATH 237:Default and Systemic Risk

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 238:Mathematical Finance (STATS 250)

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Papanicolaou, G. (PI)

## MATH 239:Computation and Simulation in Finance

Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Gu, Y. (PI)

## MATH 243:Functions of Several Complex Variables

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 244:Riemann Surfaces

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 245A:Topics in Algebraic Geometry

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 245B:Topics in Algebraic Geometry

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Li, J. (PI)

## MATH 245C:Topics in Algebraic Geometry

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Venkatesh, A. (PI)

## MATH 246:Topics in number theory: L-functions

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Entin, A. (PI)

## MATH 248:Introduction to Ergodic Theory

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 249A:Topics in number theory

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 249B:Topics in Number Theory

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 249C:Topics in Number Theory

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Soundararajan, K. (PI)

## MATH 256A:Partial Differential Equations

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 256B:Partial Differential Equations

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 257A:Symplectic Geometry and Topology

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Eliashberg, Y. (PI)

## MATH 257B:Symplectic Geometry and Topology

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Ganatra, S. (PI)

## MATH 257C:Symplectic Geometry and Topology

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 258:Topics in Geometric Analysis

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Mazzeo, R. (PI)

## MATH 262:Applied Fourier Analysis and Elements of Modern Signal Processing (CME 372)

Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 263A:Infinite-dimensional Lie Algebras

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 263B:Crystal Bases: Representations and Combinatorics

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Bump, D. (PI)

## MATH 263C:Topics in Representation Theory

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 269:Topics in symplectic geometry

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 270:Geometry and Topology of Complex Manifolds

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 271:The H-Principle

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 272:Topics in Partial Differential Equations

Terms: Aut | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Ryzhik, L. (PI)

## MATH 280:Evolution Equations in Differential Geometry

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 282A:Low Dimensional Topology

Terms: Aut | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Kerckhoff, S. (PI)

## MATH 282B:Homotopy Theory

Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Galatius, S. (PI)

## MATH 282C:Fiber Bundles and Cobordism

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Medina Mardones, A. (PI)

## MATH 283:Topics in Algebraic and Geometric Topology

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Carlsson, G. (PI)

## MATH 283A:Topics in Topology

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 284:Topics in Geometric Topology

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Yang, T. (PI)

## MATH 284A:Geometry and Topology in Dimension 3

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 284B:Geometry and Topology in Dimension 3

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 286:Topics in Differential Geometry

Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Schoen, R. (PI)

## MATH 301:Advanced Topics in Convex Optimization (CME 375)

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 305:Applied mathematics through toys and magic

Terms: Aut | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: ; Tokieda, T. (PI)

Terms: Spr | Units: 1 | Grading: Satisfactory/No Credit

Terms: Aut, Win, Spr, Sum | Units: 1-10 | Repeatable for credit | Grading: Letter or Credit/No Credit

## MATH 382:Qualifying Examination Seminar

Terms: Sum | Units: 1-3 | Repeatable for credit | Grading: Satisfactory/No Credit

## MATH 391:Research Seminar in Logic and the Foundations of Mathematics (PHIL 391)

Terms: Aut, Win, Spr | Units: 1-3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Feferman, S. (PI)

## MATH 802:TGR Dissertation

Terms: Aut, Win, Spr, Sum | Units: 0 | Repeatable for credit | Grading: TGR