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

MATH 21A: Calculus, ACE

Terms: Aut, Win, Spr | Units: 5 | Grading: Letter or Credit/No Credit
Instructors: ; Schaeffer, G. (PI)

MATH 51: Linear Algebra, Multivariable Calculus, and Modern Applications

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

MATH 51A: Linear Algebra, Multivariable Calculus, and Modern Applications, ACE

Terms: Aut, Win, Spr | Units: 6 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

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
Instructors: ; Ohrt, C. (PI)

MATH 53: Ordinary Differential Equations with Linear Algebra

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

MATH 61CM: Modern Mathematics: Continuous Methods

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

MATH 61DM: Modern Mathematics: Discrete Methods

Terms: Aut | Units: 5 | UG Reqs: WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Vondrak, J. (PI)

MATH 62CM: Modern Mathematics: Continuous Methods

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

MATH 62DM: Modern Mathematics: Discrete Methods

Terms: Win | Units: 5 | UG Reqs: WAY-FR | Grading: Letter (ABCD/NP)
Instructors: ; Fox, J. (PI)

MATH 63CM: Modern Mathematics: Continuous Methods

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

MATH 63DM: Modern Mathematics: Discrete Methods

Terms: Spr | Units: 5 | UG Reqs: WAY-FR | Grading: Letter (ABCD/NP)
Instructors: ; Tokieda, T. (PI)

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

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

MATH 79SI: Proof Positive: Principles of Mathematics

Terms: offered once only | Units: 1 | Grading: Satisfactory/No Credit

MATH 80Q: Capillary Surfaces: Explored and Unexplored Territory

Terms: not given this year | Units: 3 | UG Reqs: WAY-FR, WAY-SMA | Grading: Letter (ABCD/NP)

MATH 83N: Proofs and Modern Mathematics

Terms: Aut | Units: 3 | UG Reqs: WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Sauermann, L. (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: not given this year | Units: 3 | UG Reqs: WAY-FR | Grading: Letter or Credit/No Credit

MATH 104: Applied Matrix Theory

Terms: Aut, Win, Spr, Sum | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | 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: ; Ohrt, C. (PI)

MATH 107: Graph Theory

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

MATH 108: Introduction to Combinatorics and Its Applications

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Sauermann, L. (PI)

MATH 109: Applied Group Theory

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

MATH 110: Applied Number Theory and Field Theory

Terms: Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Tsai, C. (PI)

MATH 113: Linear Algebra and Matrix Theory

Terms: Aut, Win, Spr, Sum | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Kazeev, V. (PI)

MATH 114: Introduction to Scientific Computing (CME 108)

Terms: Win | Units: 3 | UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Marsden, A. (PI)

MATH 115: Functions of a Real Variable

Terms: Aut, Spr, Sum | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Kazeev, V. (PI)

MATH 116: Complex Analysis

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

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
Instructors: ; Tsai, C. (PI)

MATH 122: Modules and Group Representations

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

MATH 131P: Partial Differential Equations

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

MATH 136: Stochastic Processes (STATS 219)

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

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 143: Differential Geometry

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

MATH 145: Algebraic Geometry

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

MATH 146: Analysis on Manifolds

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

MATH 147: Differential Topology

Terms: Aut | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Varolgunes, U. (PI)

MATH 148: Algebraic Topology

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

MATH 151: Introduction to Probability Theory

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

MATH 152: Elementary Theory of Numbers

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

MATH 154: Algebraic Number Theory

Terms: alternate years, given next 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
Instructors: ; Conrad, B. (PI)

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

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

MATH 159: Discrete Probabilistic Methods

Terms: Spr | Units: 3 | UG Reqs: WAY-FR | Grading: Letter or Credit/No Credit
Instructors: ; Kwan, M. (PI)

MATH 161: Set Theory

Terms: alternate years, given next year | Units: 3 | UG Reqs: GER:DB-Math | 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

MATH 173: Theory of Partial Differential Equations

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

MATH 175: Elementary Functional Analysis

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

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

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

MATH 193: Polya Problem Solving Seminar

Terms: Aut | Units: 1 | Repeatable for credit | Grading: Satisfactory/No Credit
Instructors: ; Manolescu, C. (PI)

MATH 197: Senior Honors Thesis

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

MATH 198: Practical Training

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

MATH 199: Reading Topics

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
Instructors: ; Malinnikova, E. (PI)

MATH 205B: Real Analysis

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

MATH 205C: Real Analysis

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

MATH 210A: Modern Algebra I

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

MATH 210B: Modern Algebra II

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

MATH 210C: Lie Theory

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

MATH 215A: Algebraic Topology

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

MATH 215B: Differential Topology

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

MATH 215C: Differential Geometry

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

MATH 216A: Introduction to Algebraic Geometry

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

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

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
Instructors: ; Luk, J. (PI)

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

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

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

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, MS&E 324)

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

MATH 228A: Probability, Stochastic Analysis and Applications

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

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

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

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

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

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

Terms: Spr | Units: 2-4 | Grading: Letter or Credit/No Credit
Instructors: ; Chatterjee, S. (PI)

MATH 231: Mathematics and Statistics of Gambling (STATS 334)

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 233A: Topics in Combinatorics

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

MATH 233B: Topics in Combinatorics

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

MATH 233C: Topics in Combinatorics

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

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

MATH 235B: Modern Markov Chain Theory

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

MATH 235C: Topics in Markov Chains

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

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 237A: Topics in Financial Math: Market microstructure and trading algorithms

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

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

MATH 245B: Topics in Algebraic Geometry

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

MATH 245C: Topics in Algebraic Geometry

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

MATH 246: Topics in number theory: L-functions

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

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
Instructors: ; Taylor, R. (PI)

MATH 249C: Topics in Number Theory

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

MATH 256A: Partial Differential Equations

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

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

MATH 257B: Symplectic Geometry and Topology

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

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

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

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

MATH 263A: Algebraic Combinatorics and Symmetric Functions

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

MATH 263B: Crystal Bases: Representations and Combinatorics

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

MATH 263C: Topics in Representation Theory

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

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: ; Malinnikova, E. (PI)

MATH 273: Topics in Mathematical Physics (STATS 359)

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

MATH 275: Topics in Applied Mathematics: A World of Flows

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

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

MATH 282B: Homotopy Theory

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

MATH 282C: Fiber Bundles and Cobordism

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

MATH 283A: Topics in Topology

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

MATH 284: Topics in Geometric Topology

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: ; White, B. (PI)

MATH 298: Graduate Practical Training

Terms: Aut, Win, Spr, Sum | Units: 1 | Repeatable for credit | Grading: Satisfactory/No Credit
Instructors: ; Ryzhik, L. (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: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

MATH 355: Graduate Teaching Seminar

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

MATH 382: Qualifying Examination Seminar

Terms: Win, Sum | Units: 1-3 | Repeatable for credit | Grading: Satisfactory/No Credit
Instructors: ; Ryzhik, L. (PI)

MATH 391: Seminar on Logic & Formal Philosophy (PHIL 391)

Terms: Aut, Win | Units: 2-4 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: ; Icard, T. (PI)
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