MATH 18:
Foundations for Calculus
Terms: Aut
| Units: 2
MATH 19:
Calculus
Terms: Aut, Win
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 19ACE:
Calculus, ACE
Terms: Aut, Win
| Units: 1
MATH 20:
Calculus
Terms: Aut, Win, Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 20ACE:
Calculus, ACE
Terms: Aut, Win, Spr
| Units: 1
MATH 21:
Calculus
Terms: Aut, Win, Spr, Sum
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 21ACE:
Calculus, ACE
Terms: Aut, Win, Spr
| Units: 1
MATH 51:
Linear Algebra, Multivariable Calculus, and Modern Applications
Terms: Aut, Win, Spr, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 51A:
Linear Algebra, Multivariable Calculus, and Modern Applications, ACE
Last offered: Spring 2022
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
MATH 51ACE:
Linear Algebra, Multivariable Calculus, and Modern Applications, ACE
Terms: Aut, Win, Spr
| Units: 1
MATH 52:
Integral Calculus of Several Variables
Terms: Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 52ACE:
Integral Calculus of Several Variables, ACE
Last offered: Winter 2023
| Units: 1
MATH 53:
Differential Equations with Linear Algebra, Fourier Methods, and Modern Applications
Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 53ACE:
Differential Equations with Linear Algebra, Fourier Methods, and Modern Applications, ACE
Last offered: Winter 2023
| Units: 1
MATH 56:
Proofs and Modern Mathematics
Terms: Aut, Win
| Units: 4
| UG Reqs: WAY-FR
MATH 61CM:
Modern Mathematics: Continuous Methods
Terms: Aut
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 61DM:
Modern Mathematics: Discrete Methods
Terms: Aut
| Units: 5
| UG Reqs: WAY-FR
MATH 62CM:
Modern Mathematics: Continuous Methods
Terms: Win
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 62DM:
Modern Mathematics: Discrete Methods
Terms: Win
| Units: 5
| UG Reqs: WAY-FR
MATH 63CM:
Modern Mathematics: Continuous Methods
Terms: Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 63DM:
Modern Mathematics: Discrete Methods
Terms: Spr
| Units: 5
| UG Reqs: WAY-FR
MATH 75SI:
Learn to Give a Math Talk
Terms: Win
| Units: 2
MATH 77Q:
Probability and gambling
Terms: Win, Spr
| Units: 3
| UG Reqs: WAY-FR
MATH 87Q:
Mathematics of Knots, Braids, Links, and Tangles
Terms: Spr
| Units: 3
| UG Reqs: WAY-FR
MATH 101:
Math Discovery Lab
Terms: Win
| Units: 4
| UG Reqs: WAY-FR
MATH 104:
Applied Matrix Theory
Terms: Aut, Win, Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 106:
Functions of a Complex Variable
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 107:
Graph Theory
Terms: Win
| Units: 4
| UG Reqs: WAY-FR
MATH 108:
Introduction to Combinatorics and Its Applications
Terms: Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 109:
Groups and Symmetry
Terms: Aut
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 110:
Number Theory for Cryptography
Terms: Aut
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 113:
Linear Algebra and Matrix Theory
Terms: Aut, Win, Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 115:
Functions of a Real Variable
Terms: Aut, Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 116:
Complex Analysis
Terms: Aut
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 117:
Advanced Complex Analysis
Terms: Win
| Units: 4
| UG Reqs: WAY-FR
MATH 118:
Mathematics of Computation
Terms: Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 120:
Groups and Rings
Terms: Aut, Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 121:
Galois Theory
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 122:
Modules and Group Representations
Terms: Spr
| Units: 4
| UG Reqs: WAY-FR
MATH 131P:
Partial Differential Equations
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 136:
Stochastic Processes (STATS 219)
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 137:
Mathematical Methods of Classical Mechanics
Last offered: Spring 2019
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 138:
Celestial Mechanics
Last offered: Autumn 2014
| Units: 4
| UG Reqs: GER:DB-Math
MATH 142:
Hyperbolic Geometry
Last offered: Autumn 2021
| Units: 4
| UG Reqs: WAY-FR
MATH 143:
Differential Geometry
Terms: Aut
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 144:
Introduction to Topology and Geometry
Terms: Win
| Units: 4
| UG Reqs: WAY-FR
MATH 145:
Algebraic Geometry
Terms: Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 147:
Differential Topology
Terms: Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 148:
Algebraic Topology
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 151:
Introduction to Probability Theory
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 152:
Elementary Theory of Numbers
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 154:
Algebraic Number Theory
Last offered: Spring 2023
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 155:
Analytic Number Theory
Terms: Aut
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 158:
Probability and Stochastic Differential Equations for Applications (CME 298)
Terms: Spr
| Units: 4
| UG Reqs: WAY-FR
MATH 159:
Discrete Probabilistic Methods
Terms: Aut
| Units: 4
| UG Reqs: WAY-FR
MATH 161:
Set Theory
Last offered: Autumn 2022
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 171:
Fundamental Concepts of Analysis
Terms: Aut, Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 172:
Lebesgue Integration and Fourier Analysis
Terms: Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 173:
Theory of Partial Differential Equations
Terms: Spr
| Units: 4
| UG Reqs: WAY-FR
MATH 175:
Elementary Functional Analysis
Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 177:
Geometric Methods in the Theory of Ordinary Differential Equations
Last offered: Spring 2018
| Units: 4
| UG Reqs: WAY-FR
MATH 193:
Polya Problem Solving Seminar
Terms: Aut
| Units: 1
| Repeatable
4 times
(up to 4 units total)
MATH 193X:
Polya Problem Solving Seminar
Terms: Aut
| Units: 3
MATH 197:
Senior Honors Thesis
Terms: Aut, Win, Spr, Sum
| Units: 1-6
| Repeatable
3 times
(up to 9 units total)
Instructors: ;
Abouzaid, M. (PI);
Barrett, C. (PI);
Borga, J. (PI);
Charikar, M. (PI);
Chodosh, O. (PI);
Conrad, B. (PI);
Eliashberg, Y. (PI);
Icard, T. (PI);
Linderman, S. (PI);
Manolescu, C. (PI);
Montanari, A. (PI);
Reingold, O. (PI);
Rotskoff, G. (PI);
Ryzhik, L. (PI);
Schramm, T. (PI);
Schwarz, K. (PI);
Soundararajan, K. (PI);
Vondrak, J. (PI)
MATH 198:
Practical Training
Terms: Sum
| Units: 1
| Repeatable
3 times
(up to 3 units total)
MATH 199:
Reading Topics
Terms: Aut, Win, Spr, Sum
| Units: 3
| Repeatable
for credit
MATH 205A:
Real Analysis
Terms: Aut
| Units: 3
MATH 205B:
Real Analysis
Terms: Win
| Units: 3
MATH 205C:
Topics in Harmonic Analysis
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 210A:
Modern Algebra I
Terms: Aut
| Units: 3
MATH 210B:
Modern Algebra II
Terms: Win
| Units: 3
MATH 210C:
Lie Theory
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 215A:
Algebraic Topology
Terms: Aut
| Units: 3
MATH 215B:
Differential Topology
Terms: Win
| Units: 3
MATH 215C:
Differential Geometry
Terms: Spr
| Units: 3
MATH 216A:
Introduction to Algebraic Geometry
Terms: Aut
| Units: 3
| Repeatable
for credit
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
MATH 217C:
Complex Differential Geometry
Last offered: Winter 2015
| Units: 3
| Repeatable
for credit
MATH 220A:
Partial Differential Equations of Applied Mathematics (CME 303)
Terms: Aut
| Units: 3
MATH 220B:
Computational Methods of Applied Mathematics (CME 306)
Terms: Win
| Units: 3
MATH 221B:
Mathematical Methods of Imaging
Terms: Spr
| Units: 3
MATH 228:
Stochastic Methods in Engineering (CME 308, MS&E 324)
Terms: Spr
| Units: 3
MATH 230A:
Theory of Probability I (STATS 310A)
Terms: Aut
| Units: 3
MATH 230B:
Theory of Probability II (STATS 310B)
Terms: Win
| Units: 3
MATH 230C:
Theory of Probability III (STATS 310C)
Terms: Spr
| Units: 3
MATH 231:
Mathematics and Statistics of Gambling (STATS 334)
Last offered: Autumn 2020
| Units: 3
MATH 232:
Topics in Probability
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 233A:
Topics in Combinatorics
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 233B:
Topics in Combinatorics
Last offered: Winter 2021
| Units: 3
| Repeatable
for credit
MATH 233C:
Topics in Combinatorics
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 234:
Large Deviations Theory (STATS 374)
Last offered: Spring 2019
| Units: 3
MATH 235:
Modern Markov Chains (STATS 318)
Terms: Win
| Units: 3
MATH 235A:
Topics in combinatorics
Last offered: Spring 2019
| Units: 3
| Repeatable
for credit
(up to 99 units total)
MATH 235B:
Modern Markov Chain Theory
Last offered: Winter 2016
| Units: 3
| Repeatable
for credit
(up to 99 units total)
MATH 235C:
Topics in Markov Chains
Last offered: Spring 2016
| Units: 3
| Repeatable
for credit
(up to 99 units total)
MATH 236:
Introduction to Stochastic Differential Equations
Terms: Win
| Units: 3
MATH 237A:
Topics in Financial Math: Market microstructure and trading algorithms
Last offered: Spring 2023
| Units: 3
| Repeatable
10 times
(up to 30 units total)
MATH 238:
Mathematical Finance (STATS 250)
Terms: Win
| Units: 3
MATH 243:
Functions of Several Complex Variables
Last offered: Winter 2021
| Units: 3
| Repeatable
for credit
MATH 244:
Riemann Surfaces
Last offered: Autumn 2021
| Units: 3
| Repeatable
for credit
MATH 245A:
Topics in Algebraic Geometry
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 245B:
Topics in Algebraic Geometry
Last offered: Winter 2023
| Units: 3
| Repeatable
for credit
MATH 245C:
Topics in Algebraic Geometry
Last offered: Spring 2023
| Units: 3
| Repeatable
for credit
MATH 249A:
Topics in number theory
Last offered: Autumn 2022
| Units: 3
| Repeatable
for credit
MATH 249B:
Topics in Number Theory
Terms: Win
| Units: 3
| Repeatable
for credit
MATH 249C:
Topics in Number Theory
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 256A:
Partial Differential Equations
Last offered: Spring 2023
| Units: 3
MATH 256B:
Partial Differential Equations
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 257A:
Symplectic Geometry and Topology
Last offered: Winter 2023
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 257B:
Symplectic Geometry and Topology
Last offered: Spring 2022
| Units: 3
| Repeatable
for credit
MATH 257C:
Symplectic Geometry and Topology
Last offered: Spring 2021
| Units: 3
MATH 258:
Topics in Geometric Analysis
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 262:
Applied Fourier Analysis and Elements of Modern Signal Processing (CME 372)
Last offered: Winter 2021
| Units: 3
MATH 263A:
Topics in Representation Theory
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 263B:
Topics in Representation Theory
| Units: 3
| Repeatable
for credit
MATH 263C:
Topics in Representation Theory
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 269:
Topics in symplectic geometry
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 270:
Geometry and Topology of Complex Manifolds
Last offered: Winter 2017
| Units: 3
| Repeatable
for credit
MATH 271:
The H-Principle
Terms: Win
| Units: 3
MATH 272:
Topics in Partial Differential Equations
Terms: Win
| Units: 3
| Repeatable
for credit
MATH 273:
Topics in Mathematical Physics (STATS 359)
Last offered: Autumn 2018
| Units: 3
| Repeatable
for credit
MATH 275A:
Topics in Applied Math I
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 275B:
Topics in Applied Math II
Terms: Win
| Units: 3
| Repeatable
for credit
MATH 275C:
Topics in Applied Mathematics III: The Mathematics of AI
Last offered: Spring 2023
| Units: 3
| Repeatable
for credit
MATH 276:
Mathematical Problems in Machine Learning (STATS 375)
Terms: Spr
| Units: 3
MATH 282A:
Low Dimensional Topology
Last offered: Spring 2023
| Units: 3
| Repeatable
for credit
MATH 282B:
Homotopy Theory
Last offered: Winter 2023
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 282C:
Fiber Bundles and Cobordism
Last offered: Spring 2018
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 283A:
Topics in Topology
Last offered: Autumn 2022
| Units: 3
| Repeatable
for credit
MATH 286:
Topics in Differential Geometry
Last offered: Winter 2023
| Units: 3
| Repeatable
for credit
MATH 298:
Graduate Practical Training
Terms: Aut, Win, Spr, Sum
| Units: 1
| Repeatable
for credit
MATH 355:
Graduate Teaching Seminar
Terms: Aut
| Units: 1
MATH 360:
Advanced Reading and Research
Terms: Aut, Win, Spr, Sum
| Units: 1-10
| Repeatable
for credit
Instructors: ;
Abouzaid, M. (PI);
Borga, J. (PI);
Bump, D. (PI);
Candes, E. (PI);
Carlsson, G. (PI);
Chatterjee, S. (PI);
Chodosh, O. (PI);
Conrad, B. (PI);
Dembo, A. (PI);
Diaconis, P. (PI);
Eliashberg, Y. (PI);
Fox, J. (PI);
Ionel, E. (PI);
Kerckhoff, S. (PI);
Luk, J. (PI);
Malinnikova, E. (PI);
Manolescu, C. (PI);
Mazzeo, R. (PI);
Montanari, A. (PI);
Papanicolaou, G. (PI);
Ryzhik, L. (PI);
Soundararajan, K. (PI);
Taylor, R. (PI);
Tokieda, T. (PI);
Vakil, R. (PI);
Vasy, A. (PI);
Vondrak, J. (PI);
White, B. (PI);
Ying, L. (PI);
Zhu, X. (PI)
MATH 382:
Qualifying Examination Seminar
Terms: Win, Sum
| Units: 1-3
| Repeatable
for credit
MATH 802:
TGR Dissertation
Terms: Aut, Win, Spr, Sum
| Units: 0
| Repeatable
for credit
Instructors: ;
Abouzaid, M. (PI);
Bump, D. (PI);
Candes, E. (PI);
Carlsson, G. (PI);
Chatterjee, S. (PI);
Chodosh, O. (PI);
Conrad, B. (PI);
Dembo, A. (PI);
Diaconis, P. (PI);
Eliashberg, Y. (PI);
Fox, J. (PI);
Ionel, E. (PI);
Kerckhoff, S. (PI);
Luk, J. (PI);
Malinnikova, E. (PI);
Manolescu, C. (PI);
Mazzeo, R. (PI);
Papanicolaou, G. (PI);
Ryzhik, L. (PI);
Soundararajan, K. (PI);
Taylor, R. (PI);
Tokieda, T. (PI);
Vakil, R. (PI);
Vasy, A. (PI);
Vondrak, J. (PI);
White, B. (PI);
Ying, L. (PI);
Zhu, X. (PI)