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MATH 19: Calculus

Terms: Aut, Win, Sum | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR

MATH 21: Calculus

Terms: Win, Spr | Units: 4 | UG Reqs: GER:DB-Math, WAY-FR

MATH 41: Calculus (Accelerated)

Terms: Aut | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR
Instructors: ; Yang, T. (PI)

MATH 41A: Calculus ACE

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

MATH 42: Calculus (Accelerated)

Terms: Aut, Win | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR

MATH 42A: Calculus ACE

Terms: Aut, Win | Units: 6 | UG Reqs: GER:DB-Math, WAY-FR

MATH 51: Linear Algebra and Differential Calculus of Several Variables

Terms: Aut, Win, Spr, Sum | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR

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

Terms: Aut, Win, Spr | Units: 6 | UG Reqs: GER:DB-Math, WAY-FR

MATH 51H: Honors Multivariable Mathematics

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

MATH 51M: Introduction to MATLAB for Multivariable Mathematics

Terms: Aut | Units: 1
Instructors: ; Skryzalin, J. (PI)

MATH 52: Integral Calculus of Several Variables

Terms: Aut, Win, Spr | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR

MATH 52H: Honors Multivariable Mathematics

Terms: Win | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR
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

MATH 53H: Honors Multivariable Mathematics

Terms: Spr | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR

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

Last offered: Autumn 2014 | Units: 1

MATH 78: Mathematics for Machine Learning

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math

MATH 80Q: Capillary Surfaces: Explored and Unexplored Territory

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

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

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

MATH 101: Math Discovery Lab

Terms: Win | Units: 3 | UG Reqs: WAY-FR

MATH 104: Applied Matrix Theory

Terms: Win, Spr | Units: 3 | UG Reqs: GER:DB-Math

MATH 106: Functions of a Complex Variable

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math
Instructors: ; Gu, Y. (PI)

MATH 107: Graph Theory

Terms: Spr | Units: 3
Instructors: ; Fox, J. (PI); Wei, F. (TA)

MATH 108: Introduction to Combinatorics and Its Applications

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math

MATH 109: Applied Group Theory

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR

MATH 110: Applied Number Theory and Field Theory

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR
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

MATH 114: Introduction to Scientific Computing (CME 108)

Terms: Win, Sum | Units: 3 | UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-FR

MATH 115: Functions of a Real Variable

Terms: Aut, Spr | Units: 3 | UG Reqs: GER:DB-Math

MATH 116: Complex Analysis

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math

MATH 118: Mathematics of Computation

Last offered: Autumn 2013 | Units: 3 | UG Reqs: GER:DB-Math

MATH 120: Groups and Rings

Terms: Aut, Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR

MATH 121: Galois Theory

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math

MATH 122: Modules and Group Representations

Terms: Spr | Units: 3
Instructors: ; Wilson, J. (PI); Wolf, A. (TA)

MATH 131P: Partial Differential Equations I

Terms: Aut, Win | Units: 3 | UG Reqs: GER:DB-Math

MATH 132: Partial Differential Equations II

Last offered: Spring 2015 | Units: 3 | UG Reqs: GER:DB-Math

MATH 136: Stochastic Processes (STATS 219)

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math

MATH 137: Mathematical Methods of Classical Mechanics

Last offered: Winter 2013 | Units: 3 | UG Reqs: GER:DB-Math

MATH 138: Celestial Mechanics

Last offered: Autumn 2014 | Units: 3 | UG Reqs: GER:DB-Math

MATH 142: Hyperbolic Geometry

Terms: Win | Units: 3

MATH 143: Differential Geometry

Last offered: Spring 2015 | Units: 3 | UG Reqs: GER:DB-Math

MATH 145: Algebraic Geometry

Last offered: Winter 2015 | Units: 3 | UG Reqs: GER:DB-Math

MATH 146: Analysis on Manifolds

Last offered: Autumn 2014 | Units: 3 | UG Reqs: GER:DB-Math

MATH 147: Differential Topology

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math

MATH 148: Algebraic Topology

Last offered: Spring 2015 | Units: 3 | UG Reqs: GER:DB-Math

MATH 151: Introduction to Probability Theory

Last offered: Winter 2015 | Units: 3 | UG Reqs: GER:DB-Math

MATH 152: Elementary Theory of Numbers

Terms: Win | Units: 3 | UG Reqs: GER:DB-Math

MATH 154: Algebraic Number Theory

Last offered: Spring 2015 | Units: 3 | UG Reqs: GER:DB-Math

MATH 155: Analytic Number Theory

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math

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

Terms: Spr | Units: 3
Instructors: ; Gu, Y. (PI); Arndt, C. (TA)

MATH 159: Discrete Probabilistic Methods

Terms: Aut | Units: 3
Instructors: ; Basu, R. (PI)

MATH 161: Set Theory

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math
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
Instructors: ; Donaldson, T. (PI)

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

Last offered: Autumn 2014 | Units: 3-5 | UG Reqs: GER:DB-Hum

MATH 171: Fundamental Concepts of Analysis

Terms: Aut, Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR

MATH 172: Lebesgue Integration and Fourier Analysis

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math
Instructors: ; Entin, A. (PI); Cote, L. (TA)

MATH 173: Theory of Partial Differential Equations

Terms: Win | Units: 3
Instructors: ; Vasy, A. (PI); Gao, J. (TA)

MATH 174: Calculus of Variations

Last offered: Winter 2010 | Units: 3

MATH 175: Elementary Functional Analysis

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math
Instructors: ; Zhu, X. (PI); Cote, L. (TA)

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

Last offered: Spring 2015 | Units: 3

MATH 180: Introduction to Financial Mathematics

Last offered: Spring 2015 | Units: 3 | UG Reqs: GER:DB-Math

MATH 193: Polya Problem Solving Seminar

Terms: Aut | Units: 1 | Repeatable 5 times (up to 5 units total)

MATH 197: Senior Honors Thesis

Terms: Aut, Win, Spr | Units: 1-6 | Repeatable 3 times (up to 9 units total)

MATH 198: Practical Training

Terms: Aut, Win, Spr, Sum | Units: 1 | Repeatable 3 times (up to 3 units total)
Instructors: ; Conrad, B. (PI)

MATH 199: Independent Work

Terms: Aut, Win, Spr, Sum | Units: 1-3 | Repeatable 3 times (up to 9 units total)

MATH 205A: Real Analysis

Terms: Aut | Units: 3

MATH 205B: Real Analysis

Terms: Win | Units: 3
Instructors: ; Mazzeo, R. (PI); Raju, C. (TA)

MATH 205C: Real Analysis

Last offered: Spring 2009 | Units: 3

MATH 210A: Modern Algebra I

Terms: Aut | Units: 3
Instructors: ; Bump, D. (PI); Klang, I. (TA)

MATH 210B: Modern Algebra II

Terms: Win | Units: 3

MATH 210C: Lie Theory

Terms: Spr | Units: 3 | Repeatable 5 times (up to 15 units total)

MATH 215A: Complex Analysis, Geometry, and Topology

Terms: Aut | Units: 3

MATH 215B: Complex Analysis, Geometry, and Topology

Terms: Win | Units: 3

MATH 215C: Complex Analysis, Geometry, and Topology

Terms: Spr | Units: 3

MATH 216A: Introduction to Algebraic Geometry

Terms: Aut | Units: 3 | Repeatable for credit
Instructors: ; Vakil, R. (PI); Zhou, Y. (TA)

MATH 216B: Introduction to Algebraic Geometry

Terms: Win | Units: 3 | Repeatable for credit

MATH 216C: Introduction to Algebraic Geometry

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Vakil, R. (PI); Pan, D. (TA)

MATH 217C: Complex Differential Geometry

Last offered: Winter 2015 | Units: 3 | Repeatable 2 times (up to 6 units total)

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

Terms: Aut | Units: 3

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

Last offered: Winter 2014 | Units: 3

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

Terms: Spr | Units: 3
Instructors: ; Papanicolaou, G. (PI)

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

Terms: Spr | Units: 3
Instructors: ; Ying, L. (PI); Liu, F. (TA)

MATH 227: Partial Differential Equations and Diffusion Processes

Last offered: Winter 2015 | Units: 3

MATH 228: Stochastic Methods in Engineering (CME 308)

Terms: Spr | Units: 3

MATH 228A: Probability, Stochastic Analysis and Applications

Terms: Spr | Units: 3
Instructors: ; Papanicolaou, G. (PI)

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

Terms: Aut | Units: 2-4

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

Terms: Win | Units: 2-3

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

Terms: Spr | Units: 2-4

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

Last offered: Autumn 2008 | Units: 3

MATH 231C: Free Probability

| Units: 3

MATH 232: Topics in Probability: Percolation Theory

Last offered: Winter 2013 | Units: 3 | Repeatable for credit

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

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Vondrak, J. (PI)

MATH 234: Large Deviations Theory (STATS 374)

Last offered: Winter 2013 | Units: 3

MATH 235A: Topics in combinatorics

Terms: Aut | Units: 3 | Repeatable for credit (up to 99 units total)
Instructors: ; Fox, J. (PI)

MATH 235B: Modern Markov Chain Theory

Terms: Win | Units: 3 | Repeatable for credit (up to 99 units total)
Instructors: ; Diaconis, P. (PI)

MATH 235C: Topics in Markov Chains

Terms: Spr | Units: 3 | Repeatable for credit (up to 99 units total)
Instructors: ; Zheng, T. (PI)

MATH 236: Introduction to Stochastic Differential Equations

Terms: Win | Units: 3
Instructors: ; Papanicolaou, G. (PI)

MATH 237: Default and Systemic Risk

Last offered: Spring 2015 | Units: 3

MATH 238: Mathematical Finance (STATS 250)

Terms: Win | Units: 3
Instructors: ; Papanicolaou, G. (PI)

MATH 239: Computation and Simulation in Finance

Terms: Spr | Units: 3
Instructors: ; Gu, Y. (PI)

MATH 243: Functions of Several Complex Variables

Last offered: Winter 2011 | Units: 3 | Repeatable for credit

MATH 244: Riemann Surfaces

Last offered: Spring 2009 | Units: 3 | Repeatable for credit

MATH 245A: Topics in Algebraic Geometry

| Units: 3 | Repeatable 3 times (up to 9 units total)

MATH 245B: Topics in Algebraic Geometry

Terms: Win | Units: 3 | Repeatable 3 times (up to 9 units total)
Instructors: ; Li, J. (PI)

MATH 245C: Topics in Algebraic Geometry

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Venkatesh, A. (PI)

MATH 246: Topics in number theory: L-functions

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Entin, A. (PI)

MATH 248: Introduction to Ergodic Theory

Last offered: Autumn 2014 | Units: 3 | Repeatable for credit

MATH 249A: Topics in number theory

Last offered: Autumn 2013 | Units: 3 | Repeatable 3 times (up to 9 units total)

MATH 249B: Topics in Number Theory

Terms: Win | Units: 3 | Repeatable 3 times (up to 9 units total)
Instructors: ; Conrad, B. (PI)

MATH 249C: Topics in Number Theory

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Soundararajan, K. (PI)

MATH 256A: Partial Differential Equations

Last offered: Spring 2014 | Units: 3

MATH 256B: Partial Differential Equations

Last offered: Winter 2015 | Units: 3 | Repeatable for credit

MATH 257A: Symplectic Geometry and Topology

Terms: Win | Units: 3 | Repeatable 2 times (up to 6 units total)
Instructors: ; Eliashberg, Y. (PI)

MATH 257B: Symplectic Geometry and Topology

Terms: Spr | Units: 3 | Repeatable 2 times (up to 6 units total)
Instructors: ; Ganatra, S. (PI)

MATH 257C: Symplectic Geometry and Topology

Last offered: Spring 2015 | Units: 3

MATH 258: Topics in Geometric Analysis

Terms: Win | Units: 3 | Repeatable for credit
Instructors: ; Mazzeo, R. (PI)

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

Terms: Win | Units: 3

MATH 263A: Infinite-dimensional Lie Algebras

Last offered: Winter 2014 | Units: 3 | Repeatable for credit

MATH 263B: Crystal Bases: Representations and Combinatorics

Terms: Win | Units: 3 | Repeatable for credit
Instructors: ; Bump, D. (PI)

MATH 263C: Topics in Representation Theory

Last offered: Spring 2015 | Units: 3 | Repeatable for credit

MATH 269: Topics in symplectic geometry

Last offered: Winter 2015 | Units: 3 | Repeatable for credit

MATH 270: Geometry and Topology of Complex Manifolds

Last offered: Winter 2008 | Units: 3 | Repeatable for credit

MATH 271: The H-Principle

Last offered: Winter 2013 | Units: 3

MATH 272: Topics in Partial Differential Equations

Terms: Aut | Units: 3 | Repeatable for credit
Instructors: ; Ryzhik, L. (PI)

MATH 280: Evolution Equations in Differential Geometry

Last offered: Winter 2014 | Units: 3 | Repeatable for credit

MATH 282A: Low Dimensional Topology

Terms: Aut | Units: 3 | Repeatable 2 times (up to 6 units total)
Instructors: ; Kerckhoff, S. (PI)

MATH 282B: Homotopy Theory

Terms: Win | Units: 3 | Repeatable 2 times (up to 6 units total)
Instructors: ; Galatius, S. (PI)

MATH 282C: Fiber Bundles and Cobordism

Terms: Spr | Units: 3 | Repeatable 2 times (up to 6 units total)
Instructors: ; Medina Mardones, A. (PI)

MATH 283: Topics in Algebraic and Geometric Topology

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Carlsson, G. (PI)

MATH 283A: Topics in Topology

Last offered: Winter 2011 | Units: 3

MATH 284: Topics in Geometric Topology

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Yang, T. (PI)

MATH 284A: Geometry and Topology in Dimension 3

Last offered: Winter 2009 | Units: 3 | Repeatable for credit

MATH 284B: Geometry and Topology in Dimension 3

Last offered: Spring 2009 | Units: 3 | Repeatable for credit

MATH 286: Topics in Differential Geometry

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: ; Schoen, R. (PI)

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

Last offered: Winter 2015 | Units: 3 | Repeatable 3 times (up to 9 units total)

MATH 305: Applied mathematics through toys and magic

Terms: Aut | Units: 3
Instructors: ; Tokieda, T. (PI)

MATH 355: Graduate Teaching Seminar

Terms: Spr | Units: 1

MATH 382: Qualifying Examination Seminar

Terms: Sum | Units: 1-3 | Repeatable for credit

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

Terms: Aut, Win, Spr | Units: 1-3 | Repeatable 3 times (up to 9 units total)
Instructors: ; Feferman, S. (PI)
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