Spring 2021

Begins on: 
Tue, 2021-01-12
Course Title Days/Times Location Instructor Class
1A  001 LEC Calculus MoWe 05:00PM - 06:29PM Internet/Online MINA AGANAGIC 22598
1B  001 LEC Calculus MoWeFr 11:00AM - 11:59AM Internet/Online Nicolai Y Reshetikhin 22611
1B  002 LEC Calculus TuTh 09:30AM - 10:59AM Internet/Online Alexander Paulin 22612
10B  001 LEC Methods of Mathematics: Calculus, Statistics, and Combinatorics MoWeFr 01:00PM - 01:59PM Internet/Online Kelli Talaska 22646
10B  002 LEC Methods of Mathematics: Calculus, Statistics, and Combinatorics MoWeFr 03:00PM - 03:59PM Internet/Online Kelli Talaska 22647
16A  001 LEC Analytic Geometry and Calculus TuTh 02:00PM - 03:29PM Internet/Online Theodore Slaman 22668
16B  001 LEC Analytic Geometry and Calculus MoWeFr 02:00PM - 02:59PM Internet/Online Arun Sharma 22680
16B  002 LEC Analytic Geometry and Calculus MoWeFr 10:00AM - 10:59AM Internet/Online Arun Sharma 22681
24  001 SEM Freshman Seminars Th 10:00AM - 11:59AM Internet/Online Francisco A Grunbaum 22703
32  001 LEC Precalculus MoWeFr 03:00PM - 03:59PM Internet/Online Ethan Dlugie 22705
53  001 LEC Multivariable Calculus MoWeFr 12:00PM - 12:59PM Internet/Online Zvezdelina Stankova 22710
53  002 LEC Multivariable Calculus MoWeFr 01:00PM - 01:59PM Internet/Online Zvezdelina Stankova 22711
H53  001 LEC Honors Multivariable Calculus TuTh 11:00AM - 12:29PM Internet/Online David A Corwin 24584
54  001 LEC Linear Algebra and Differential Equations TuTh 05:00PM - 06:29PM Internet/Online Nikhil Srivastava 25957
54  002 LEC Linear Algebra and Differential Equations TuTh 08:00AM - 09:29AM Internet/Online Katrin Wehrheim 22745
55  001 LEC Discrete Mathematics TuTh 12:30PM - 01:59PM Internet/Online Mark Haiman 22777
98  009 GRP Supervised Group Study TuTh 03:30PM - 04:59PM Internet/Online Per-Olof Sigfrid Persson 22794
98  010 GRP Supervised Group Study TuTh 05:00PM - 06:29PM Internet/Online
Andrew Justin Shi
Per-Olof Sigfrid Persson
22795
98BC  001 DIS Berkeley Connect We 06:00PM - 06:59PM Internet/Online Jorge Garza Vargas 19590
98BC  002 DIS Berkeley Connect Tu 06:00PM - 06:59PM Internet/Online Adele L Padgett 19591
104  001 LEC Introduction to Analysis TuTh 05:00PM - 06:29PM Internet/Online Mariusz Wodzicki 22809
104  002 LEC Introduction to Analysis TuTh 11:00AM - 12:29PM Internet/Online Yu-Wei Fan 22810
104  003 LEC Introduction to Analysis TuTh 08:00AM - 09:29AM Internet/Online Koji Shimizu 22811
104  004 LEC Introduction to Analysis TuTh 09:30AM - 10:59AM Internet/Online Koji Shimizu 22812
104  005 LEC Introduction to Analysis TuTh 09:30AM - 10:59AM Internet/Online Peng Zhou 22813
104  006 LEC Introduction to Analysis TuTh 12:30PM - 01:59PM Internet/Online Peng Zhou 24852
104  007 LEC Introduction to Analysis MoWeFr 02:00PM - 02:59PM Internet/Online Dmitry Vaintrob 25157
104  008 LEC Introduction to Analysis TuTh 02:00PM - 03:29PM Internet/Online Ian L Charlesworth 25268
104  009 LEC Introduction to Analysis MoWeFr 10:00AM - 10:59AM Internet/Online Rui Wang 31595
105  001 LEC Second Course in Analysis MoWeFr 01:00PM - 01:59PM Internet/Online Ryan A Hass 22814
110  001 LEC Linear Algebra TuTh 11:00AM - 12:29PM Internet/Online Olga V. Holtz 22815
113  001 LEC Introduction to Abstract Algebra MoWeFr 10:00AM - 10:59AM Internet/Online Jeremy Lovejoy 22826
113  002 LEC Introduction to Abstract Algebra TuTh 03:30PM - 04:59PM Internet/Online Gabriel T Goldberg 22827
113  003 LEC Introduction to Abstract Algebra MoWeFr 12:00PM - 12:59PM Internet/Online Dan-Virgil Voiculescu 22828
113  004 LEC Introduction to Abstract Algebra TuTh 02:00PM - 03:29PM Internet/Online Mariusz Wodzicki 22829
113  005 LEC Introduction to Abstract Algebra TuTh 05:00PM - 06:29PM Internet/Online Gabriel D Dorfsman-Hopkins 22830
113  006 LEC Introduction to Abstract Algebra MoWeFr 09:00AM - 09:59AM Internet/Online Rui Wang 22831
113  007 LEC Introduction to Abstract Algebra MoWeFr 11:00AM - 11:59AM Internet/Online Jeremy Lovejoy 24856
113  008 LEC Introduction to Abstract Algebra TuTh 09:30AM - 10:59AM Internet/Online Christopher J Ryba 25280
H113  001 LEC Honors Introduction to Abstract Algebra TuTh 12:30PM - 01:59PM Internet/Online Edward Frenkel 22832
114  001 LEC Second Course in Abstract Algebra MoWeFr 11:00AM - 11:59AM Internet/Online Emiliano Gomez 24586
115  001 LEC Introduction to Number Theory TuTh 08:00AM - 09:29AM Internet/Online Kenneth A Ribet 31318
121B  001 LEC Mathematical Tools for the Physical Sciences MoWeFr 09:00AM - 09:59AM Internet/Online Marc A Rieffel 22833
124  001 LEC Programming for Mathematical Applications TuTh 09:30AM - 10:59AM Internet/Online Per-Olof Sigfrid Persson 25723
126  001 LEC Introduction to Partial Differential Equations TuTh 05:00PM - 06:29PM Internet/Online Sung-jin Oh 24587
128A  001 LEC Numerical Analysis TuTh 02:00PM - 03:29PM Internet/Online Ming Gu 22834
128B  001 LEC Numerical Analysis TuTh 12:30PM - 01:59PM Internet/Online Olga V. Holtz 22843
136  001 LEC Incompleteness and Undecidability MoWeFr 01:00PM - 01:59PM Internet/Online Pierre A Simon 26682
140  001 LEC Metric Differential Geometry MoWeFr 02:00PM - 02:59PM Internet/Online John W. Lott 25722
143  001 LEC Elementary Algebraic Geometry TuTh 08:00AM - 09:29AM Internet/Online Daniel A Bragg 26699
152  001 LEC Mathematics of the Secondary School Curriculum II MoWeFr 10:00AM - 10:59AM Internet/Online Ole H Hald 25726
160  001 LEC History of Mathematics MoWeFr 01:00PM - 01:59PM Internet/Online Ole H Hald 22845
172  001 LEC Combinatorics TuTh 03:30PM - 04:59PM Internet/Online Sylvie M Corteel 31319
185  001 LEC Introduction to Complex Analysis MoWe 05:00PM - 06:29PM Internet/Online Khalilah Beal 22846
185  002 LEC Introduction to Complex Analysis TuTh 09:30AM - 10:59AM Internet/Online Sebastian Eterovic 22847
185  003 LEC Introduction to Complex Analysis TuTh 12:30PM - 01:59PM Internet/Online Yu-Wei Fan 22848
185  004 LEC Introduction to Complex Analysis TuTh 05:00PM - 06:29PM Internet/Online Di Fang 22849
185  005 LEC Introduction to Complex Analysis TuTh 12:30PM - 01:59PM Internet/Online Francisco A Grunbaum 24853
185  006 LEC Introduction to Complex Analysis TuTh 11:00AM - 12:29PM Internet/Online Nicholas Miller 25269
185  007 LEC Introduction to Complex Analysis MoWeFr 01:00PM - 01:59PM Internet/Online Ivan Danilenko 25391
185  008 LEC Introduction to Complex Analysis MoWeFr 10:00AM - 10:59AM Internet/Online Ryan A Hass 26930
H185  001 LEC Honors Introduction to Complex Analysis MoWeFr 12:00PM - 12:59PM Internet/Online Alexandre Givental 25022
195  001 LEC Special Topics in Mathematics MoWeFr 09:00AM - 09:59AM Internet/Online L Craig Evans 31310
198BC  001 DIS Berkeley Connect We 07:00PM - 07:59PM Jorge Garza Vargas 19586
198BC  002 DIS Berkeley Connect Tu 07:00PM - 07:59PM Kubrat Danailov 19587
198BC  003 DIS Berkeley Connect Tu 06:00PM - 06:59PM Kubrat Danailov 19588
198BC  004 DIS Berkeley Connect Tu 07:00PM - 07:59PM Adele L Padgett 19589
202B  001 LEC Introduction to Topology and Analysis MoWeFr 01:00PM - 01:59PM Internet/Online Francis Michael Christ 22862
205  001 LEC Theory of Functions of a Complex Variable MoWe 03:30PM - 04:59PM Internet/Online Dan-Virgil Voiculescu 26689
208  001 LEC C*-algebras MoWeFr 12:00PM - 12:59PM Internet/Online Marc A Rieffel 31336
214  001 LEC Differentiable Manifolds TuTh 02:00PM - 03:29PM Internet/Online Richard H Bamler 26693
215B  001 LEC Algebraic Topology TuTh 09:30AM - 10:59AM Internet/Online Constantin Teleman 25729
C218B  001 LEC Probability Theory TuTh 12:30PM - 01:59PM Internet/Online James W Pitman 22863
219  001 LEC Dynamical Systems TuTh 03:30PM - 04:59PM Internet/Online Fraydoun Rezakhanlou 26688
222B  001 LEC Partial Differential Equations TuTh 11:00AM - 12:29PM Internet/Online Maciej R Zworski 22864
C223B  001 LEC Advanced Topics in Probablity and Stochastic Processes TuTh 02:00PM - 03:29PM Internet/Online Steven N Evans 22865
225B  001 LEC Metamathematics MoWeFr 02:00PM - 02:59PM Internet/Online Pierre A Simon 22866
227A  001 LEC Theory of Recursive Functions TuTh 09:30AM - 10:59AM Internet/Online Theodore Slaman 33713
228B  001 LEC Numerical Solution of Differential Equations TuTh 09:30AM - 10:59AM Internet/Online Jon A Wilkening 22867
241  001 LEC Complex Manifolds WeFr 02:00PM - 03:29PM Internet/Online Song Sun 26692
249  001 LEC Algebraic Combinatorics TuTh 11:00AM - 12:29PM Internet/Online Sylvie M Corteel 26698
250B  001 LEC Commutative Algebra MoWeFr 11:00AM - 11:59AM Genetics & Plant Bio 100 Richard E. Borcherds 22868
254B  001 LEC Number Theory MoWeFr 10:00AM - 10:59AM Internet/Online Paul A Vojta 24630
256B  001 LEC Algebraic Geometry MoWeFr 01:00PM - 01:59PM Internet/Online Paul A Vojta 22869
257  001 LEC Group Theory TuTh 05:00PM - 06:29PM Internet/Online Edward Frenkel 31320
261A  001 LEC Lie Groups MoWe 05:00PM - 06:29PM Internet/Online Semeon Artamonov 26690
274  001 LEC Topics in Algebra MoWeFr 09:00AM - 09:59AM Internet/Online Bernd Sturmfels 26691
276  001 LEC Topics in Topology TuTh 11:00AM - 12:29PM Internet/Online Ian Agol 31355
278  002 LEC Topics in Analysis MoWe 09:30AM - 10:59AM Internet/Online Alan Hammond 31358
279  001 LEC Topics in Partial Differential Equations TuTh 02:00PM - 03:29PM Internet/Online Maciej R Zworski 27012
279  002 LEC Topics in Partial Differential Equations MoWeFr 10:00AM - 10:59AM Internet/Online Thomas Alazard 33026
375  001 LEC Teaching Workshop We 05:00PM - 06:59PM Internet/Online Rockford D Foster 22871

Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 05:00PM - 06:29PMInternet/OnlineMINA AGANAGIC22598
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Three and one-half years of high school math, including trigonometry and analytic geometry. Students with high school exam credits (such as AP credit) should consider choosing a course more advanced than 1A

Description This sequence is intended for majors in engineering and the physical sciences. An introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 11:00AM - 11:59AMInternet/OnlineNicolai Y Reshetikhin22611
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 1A or N1A

Description Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 09:30AM - 10:59AMInternet/OnlineAlexander Paulin22612
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 1A or N1A

Description Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Methods of Mathematics: Calculus, Statistics, and Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineKelli Talaska22646
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Continuation of 10A

Description The sequence Math 10A, Math 10B is intended for majors in the life sciences. Elementary combinatorics and discrete and continuous probability theory. Representation of data, statistical models and testing. Sequences and applications of linear algebra.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Methods of Mathematics: Calculus, Statistics, and Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 03:00PM - 03:59PMInternet/OnlineKelli Talaska22647
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Continuation of 10A

Description The sequence Math 10A, Math 10B is intended for majors in the life sciences. Elementary combinatorics and discrete and continuous probability theory. Representation of data, statistical models and testing. Sequences and applications of linear algebra.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Analytic Geometry and Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineTheodore Slaman22668
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Three years of high school math, including trigonometry. Consult the mathematics department for details

Description This sequence is intended for majors in the life and social sciences. Calculus of one variable; derivatives, definite integrals and applications, maxima and minima, and applications of the exponential and logarithmic functions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Analytic Geometry and Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 02:00PM - 02:59PMInternet/OnlineArun Sharma22680
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 16A

Description Continuation of 16A. Application of integration of economics and life sciences. Differential equations. Functions of many variables. Partial derivatives, constrained and unconstrained optimization.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Analytic Geometry and Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineArun Sharma22681
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 16A

Description Continuation of 16A. Application of integration of economics and life sciences. Differential equations. Functions of many variables. Partial derivatives, constrained and unconstrained optimization.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Freshman Seminars

Schedule:

SectionDays/TimesLocationInstructorClass
001 SEMTh 10:00AM - 11:59AMInternet/OnlineFrancisco A Grunbaum22703
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description The Berkeley Seminar Program has been designed to provide new students with the opportunity to explore an intellectual topic with a faculty member in a small-seminar setting. Berkeley Seminars are offered in all campus departments, and topics vary from department to department and semester to semester.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Precalculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 03:00PM - 03:59PMInternet/OnlineEthan Dlugie22705
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Three years of high school mathematics

Description Polynomial and rational functions, exponential and logarithmic functions, trigonometry and trigonometric functions. Complex numbers, fundamental theorem of algebra, mathematical induction, binomial theorem, series, and sequences.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Multivariable Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineZvezdelina Stankova22710
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Mathematics 1B or N1B

Description Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Multivariable Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineZvezdelina Stankova22711
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Mathematics 1B or N1B

Description Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Honors Multivariable Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineDavid A Corwin24584
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 1B

Description Honors version of 53. Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Linear Algebra and Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineNikhil Srivastava25957
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 1B, N1B, 10B, or N10B

Description Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product spaces. Eigenvalues and eigenvectors; orthogonality, symmetric matrices. Linear second-order differential equations; first-order systems with constant coefficients. Fourier series.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Linear Algebra and Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 08:00AM - 09:29AMInternet/OnlineKatrin Wehrheim22745
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 1B, N1B, 10B, or N10B

Description Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product spaces. Eigenvalues and eigenvectors; orthogonality, symmetric matrices. Linear second-order differential equations; first-order systems with constant coefficients. Fourier series.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Discrete Mathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineMark Haiman22777
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Mathematical maturity appropriate to a sophomore math class. 1A-1B recommended

Description Logic, mathematical induction sets, relations, and functions. Introduction to graphs, elementary number theory, combinatorics, algebraic structures, and discrete probability theory.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Supervised Group Study

Schedule:

SectionDays/TimesLocationInstructorClass
009 GRPTuTh 03:30PM - 04:59PMInternet/OnlinePer-Olof Sigfrid Persson22794
UnitsEnrollment StatusSession
1-4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Directed Group Study, topics vary with instructor.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Supervised Group Study

Schedule:

SectionDays/TimesLocationInstructorClass
010 GRPTuTh 05:00PM - 06:29PMInternet/OnlineAndrew Justin Shi, Per-Olof Sigfrid Persson22795
UnitsEnrollment StatusSession
1-4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Directed Group Study, topics vary with instructor.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
001 DISWe 06:00PM - 06:59PMInternet/OnlineJorge Garza Vargas19590
UnitsEnrollment StatusSession
1Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Over the course of a semester, enrolled students participate in regular small-group discussions facilitated by a graduate student mentor (following a faculty-directed curriculum), meet with their graduate student mentor for one-on-one academic advising, attend lectures and panel discussions featuring department faculty and alumni, and go on field trips to campus resources. Students are not required to be declared majors in order to participate.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
002 DISTu 06:00PM - 06:59PMInternet/OnlineAdele L Padgett19591
UnitsEnrollment StatusSession
1Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Over the course of a semester, enrolled students participate in regular small-group discussions facilitated by a graduate student mentor (following a faculty-directed curriculum), meet with their graduate student mentor for one-on-one academic advising, attend lectures and panel discussions featuring department faculty and alumni, and go on field trips to campus resources. Students are not required to be declared majors in order to participate.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineMariusz Wodzicki22809
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 11:00AM - 12:29PMInternet/OnlineYu-Wei Fan22810
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
003 LECTuTh 08:00AM - 09:29AMInternet/OnlineKoji Shimizu22811
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
004 LECTuTh 09:30AM - 10:59AMInternet/OnlineKoji Shimizu22812
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
005 LECTuTh 09:30AM - 10:59AMInternet/OnlinePeng Zhou22813
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
006 LECTuTh 12:30PM - 01:59PMInternet/OnlinePeng Zhou24852
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
007 LECMoWeFr 02:00PM - 02:59PMInternet/OnlineDmitry Vaintrob25157
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
008 LECTuTh 02:00PM - 03:29PMInternet/OnlineIan L Charlesworth25268
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
009 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineRui Wang31595
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54. 55 or an equivalent exposure to proofs

Description The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Second Course in Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineRyan A Hass22814
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Differential calculus in Rn: the derivative as a linear map; the chain rule; inverse and implicit function theorems. Lebesgue integration on the line; comparison of Lebesgue and Riemann integrals. Convergence theorems. Fourier series, L2 theory. Fubini's theorem, change of variable.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Linear Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineOlga V. Holtz22815
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs is recommended

Description Matrices, vector spaces, linear transformations, inner products, determinants. Eigenvectors. QR factorization. Quadratic forms and Rayleigh's principle. Jordan canonical form, applications. Linear functionals.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineJeremy Lovejoy22826
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 03:30PM - 04:59PMInternet/OnlineGabriel T Goldberg22827
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
003 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineDan-Virgil Voiculescu22828
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
004 LECTuTh 02:00PM - 03:29PMInternet/OnlineMariusz Wodzicki22829
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
005 LECTuTh 05:00PM - 06:29PMInternet/OnlineGabriel D Dorfsman-Hopkins22830
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
006 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineRui Wang22831
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
007 LECMoWeFr 11:00AM - 11:59AMInternet/OnlineJeremy Lovejoy24856
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
008 LECTuTh 09:30AM - 10:59AMInternet/OnlineChristopher J Ryba25280
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Honors Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineEdward Frenkel22832
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Description Honors section corresponding to 113. Recommended for students who enjoy mathematics and are willing to work hard in order to understand the beauty of mathematics and its hidden patterns and structures. Greater emphasis on theory and challenging problems.

Office 

Office Hours 

Required Text John B. Fraleigh, First Course in Abstract Algebra, 7th Edition, Pearson

Recommended Reading 

Grading 

Homework 

Course Webpage 

Second Course in Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 11:00AM - 11:59AMInternet/OnlineEmiliano Gomez24586
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 110 and 113, or consent of instructor

Description Further topics on groups, rings, and fields not covered in Math 113. Possible topics include the Sylow Theorems and their applications to group theory; classical groups; abelian groups and modules over a principal ideal domain; algebraic field extensions; splitting fields and Galois theory; construction and classification of finite fields.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Number Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 08:00AM - 09:29AMInternet/OnlineKenneth A Ribet31318
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Math 55 is recommended

Description Divisibility, congruences, numerical functions, theory of primes. Topics selected: Diophantine analysis, continued fractions, partitions, quadratic fields, asymptotic distributions, additive problems.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Mathematical Tools for the Physical Sciences

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineMarc A Rieffel22833
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54

Description Intended for students in the physical sciences who are not planning to take more advanced mathematics courses. Special functions, series solutions of ordinary differential equations, partial differential equations arising in mathematical physics, probability theory. Chapters 11, 12, 13 and 15 of the textbook.

Office Hours Via Zoom, probably M 10:30-11:30; W 2-3:30; F 10:15-10:45 

Required Text Mathematical Methods in the Physical Sciences, 3rd ed, by Mary L. Boas, Wiley Pub

Lectures There will be a bCourses site for the course. The lectures (via Zoom) will be recorded and posted on that site.

Examinations The format and mechanics of the examinations will be posted on the bCourses site for this course.  They will probably involve GradeScope.

The final examination will take place on Monday, May 10, 7-10 PM.    There will be no early or make-up final examination. 

There will be two midterm examinations. They will take place on Wednesday February 17  and Wednesday March 31. (Those dates could change if important reasons for a change arise.)   

Most weeks there will be one short quiz. 

Grading The final examination will count for 30% of the course grade.

Each midterm exam will each count for 25% of the course grade. Makeup midterm exams will not be given; instead, if you tell me ahead of time that you must miss one of the midterm exams, then the final exam and the other components will count more to make up for it. If you do not tell me ahead of time, then you will need to bring me a doctor's note or equivalent to try to avoid a score of 0. If you miss both midterm exams, you will need a truly extraordinary documented reason in order to avoid a score of 0 on at least one of them.

The combined quiz scores will count for 20% of the course grade. The two lowest quiz scores will be dropped. Makeup quizzes will not be given. 

Homework There will be weekly homework assignments due the Tuesday of the following week. (That could be changed to Thursday if there is a strong preference for that.) The homework will not be graded, but submitted homework will be registered and may affect your grade by a few points. Late homework will not be accepted. 

Comment Students are strongly encouraged to discuss the course material and homework with each other (remotely).

Accommodation Students who need special accommodation for examinations should bring me the appropriate paperwork, and must tell me between one and two weeks in advance of each exam what specific accommodation they need, so that I will have enough time to arrange it.

Course Webpage Link at:  http://math.berkeley.edu/~rieffel

Programming for Mathematical Applications

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlinePer-Olof Sigfrid Persson25723
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Math 53, 54, 55, or permission from instructor.

Description An introduction to computer programming with a focus on the solution of mathematical and scientific problems. Basic programming concepts such as variables, statements, loops, branches, functions, data types, and object orientation. Mathematical/scientific tools such as arrays, floating point numbers, plotting, symbolic algebra, and various packages. Examples from a wide range of mathematical applications such as evaluation of complex algebraic expressions , number theory, combinatorics, statistical analysis, efficient algorithms, computational geometry, Fourier analysis, and optimization. Mainly based on the Julia and the Mathematica programming languages.

Office 

Office Hours Tue 2:30pm - 4:30pm (zoom)

Required Text Think Julia: How to Think Like a Computer Scientist, Ben Lauwens and Allen Downey.

Recommended Reading 

The official Julia documentation (latest stable version). Free online.

Insight through computing: A MATLAB introduction to computational science and engineering. Charles F. van Loan and K.-Y. Daisy Fan. SIAM, 2010. ISBN: 978-0-898716-91-7. Free online for UC Berkeley.

Grading Homework, quizzes, programming projects, midterm exam, and final exam.

Homework Weekly.

Course Webpage http://persson.berkeley.edu/math124/

Introduction to Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineSung-jin Oh24587
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54

Description Waves and diffusion, initial value problems for hyperbolic and parabolic equations, boundary value problems for elliptic equations, Green's functions, maximum principles, a priori bounds, Fourier transform.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Numerical Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineMing Gu22834
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53 and 54

Description Programming for numerical calculations, round-off error, approximation and interpolation, numerical quadrature, and solution of ordinary differential equations. Practice on the computer.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Numerical Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineOlga V. Holtz22843
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 110 and 128A

Description Iterative solution of systems of nonlinear equations, evaluation of eigenvalues and eigenvectors of matrices, applications to simple partial differential equations. Practice on the computer.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Incompleteness and Undecidability

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlinePierre A Simon26682
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Math 104 and 113 or consent of instructor

Description Functions computable by algorithm, Turing machines, Church's thesis. Unsolvability of the halting problem, Rice's theorem. Recursively enumerable sets, creative sets, many-one reductions. Self-referential programs. Godel's incompleteness theorems, undecidability of validity, decidable and undecidable theories.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Metric Differential Geometry

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 02:00PM - 02:59PMInternet/OnlineJohn W. Lott25722
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Frenet formulas, isoperimetric inequality, local theory of surfaces in Euclidean space, first and second fundamental forms. Gaussian and mean curvature, isometries, geodesics, parallelism, the Gauss-Bonnet-Von Dyck Theorem.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Elementary Algebraic Geometry

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 08:00AM - 09:29AMInternet/OnlineDaniel A Bragg26699
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 113

Description Introduction to basic commutative algebra, algebraic geometry, and computational techniques. Main focus on curves, surfaces and Grassmannian varieties.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Mathematics of the Secondary School Curriculum II

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineOle H Hald25726
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 151; 54, 113, or equivalent

Description Complex numbers and Fundamental Theorem of Algebra, roots and factorizations of polynomials, Euclidean geometry and axiomatic systems, basic trigonometry.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

History of Mathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineOle H Hald22845
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 53, 54, and 113

Description History of algebra, geometry, analytic geometry, and calculus from ancient times through the seventeenth century and selected topics from more recent mathematical history.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 03:30PM - 04:59PMInternet/OnlineSylvie M Corteel31319
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 55

Description Basic combinatorial principles, graphs, partially ordered sets, generating functions, asymptotic methods, combinatorics of permutations and partitions, designs and codes. Additional topics at the discretion of the instructor.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 05:00PM - 06:29PMInternet/OnlineKhalilah Beal22846
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 09:30AM - 10:59AMInternet/OnlineSebastian Eterovic22847
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
003 LECTuTh 12:30PM - 01:59PMInternet/OnlineYu-Wei Fan22848
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
004 LECTuTh 05:00PM - 06:29PMInternet/OnlineDi Fang22849
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
005 LECTuTh 12:30PM - 01:59PMInternet/OnlineFrancisco A Grunbaum24853
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
006 LECTuTh 11:00AM - 12:29PMInternet/OnlineNicholas Miller25269
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
007 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineIvan Danilenko25391
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
008 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineRyan A Hass26930
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Honors Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineAlexandre Givental25022
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 104

Description Honors section corresponding to Math 185 for exceptional students with strong mathematical inclination and motivation. Emphasis is on rigor, depth, and hard problems.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage please visit the instructor's page for course-specific information

Special Topics in Mathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineL Craig Evans31310
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Math 53, 54.  Math 170 would be useful, but is not required.

Description Topic:  Dynamic Optimization.  This course will discuss in detail the theory and applications of ``dynamic optimization'', primarily in the context of the calculus of variations and optimal control theory. Topics will include careful derivation of Euler-Lagrange equations, second variation calculations, the Pontryagin maximum principle and dynamic programming, with many interesting examples from pure and applied mathematics.    For the complete list of topics see this handout.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
001 DISWe 07:00PM - 07:59PM Jorge Garza Vargas19586
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Over the course of a semester, enrolled students participate in regular small-group discussions facilitated by a graduate student mentor (following a faculty-directed curriculum), meet with their graduate student mentor for one-on-one academic advising, attend lectures and panel discussions featuring department faculty and alumni, and go on field trips to campus resources. Students are not required to be declared majors in order to participate.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
002 DISTu 07:00PM - 07:59PM Kubrat Danailov19587
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Over the course of a semester, enrolled students participate in regular small-group discussions facilitated by a graduate student mentor (following a faculty-directed curriculum), meet with their graduate student mentor for one-on-one academic advising, attend lectures and panel discussions featuring department faculty and alumni, and go on field trips to campus resources. Students are not required to be declared majors in order to participate.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
003 DISTu 06:00PM - 06:59PM Kubrat Danailov19588
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Over the course of a semester, enrolled students participate in regular small-group discussions facilitated by a graduate student mentor (following a faculty-directed curriculum), meet with their graduate student mentor for one-on-one academic advising, attend lectures and panel discussions featuring department faculty and alumni, and go on field trips to campus resources. Students are not required to be declared majors in order to participate.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
004 DISTu 07:00PM - 07:59PM Adele L Padgett19589
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Over the course of a semester, enrolled students participate in regular small-group discussions facilitated by a graduate student mentor (following a faculty-directed curriculum), meet with their graduate student mentor for one-on-one academic advising, attend lectures and panel discussions featuring department faculty and alumni, and go on field trips to campus resources. Students are not required to be declared majors in order to participate.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading 

Homework 

Course Webpage 

Introduction to Topology and Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineFrancis Michael Christ22862
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 202A and 110

Description Measure and integration. Product measures and Fubini-type theorems. Signed measures; Hahn and Jordan decompositions. Radon-Nikodym theorem. Integration on the line and in Rn. Differentiation of the integral. Hausdorff measures. Fourier transform. Introduction to linear topological spaces, Banach spaces and Hilbert spaces. Banach-Steinhaus theorem; closed graph theorem. Hahn-Banach theorem. Duality; the dual of LP. Measures on locally compact spaces; the dual of C(X). Weak and weak-* topologies; Banach-Alaoglu theorem. Convexity and the Krein-Milman theorem. Additional topics chosen may include compact operators, spectral theory of compact operators, and applications to integral equations.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Theory of Functions of a Complex Variable

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 03:30PM - 04:59PMInternet/OnlineDan-Virgil Voiculescu26689
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 185

Description Normal families. Riemann Mapping Theorem. Picard's theorem and related theorems. Multiple-valued analytic functions and Riemann surfaces. Further topics selected by the instructor may include: harmonic functions, elliptic and algebraic functions, boundary behavior of analytic functions and HP spaces, the Riemann zeta functions, prime number theorem.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

C*-algebras

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineMarc A Rieffel31336
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites The basic theory of bounded operators on Hilbert space and of  Banach algebras, especially commutative ones. Math 206 is more than sufficient. Self-study of sections 3.1-2, 4.1-4 of "Analysis Now" by G. K. Pedersen would be sufficient.It is my understanding that through an agreement between UC and the publisher, the Pedersen text can be downloaded at no cost through the library website.You may need to use campus computers to authenticate yourself to gain access.  

Description Basic theory of C*-algebras. Positivity, spectrum, GNS construction. Group C*-algebras and connection with group representations. Additional topics, for example, C*-dynamical systems, K-theory.

Office Hours  TBA

Recommended Text  None of the available textbooks follows closely the path that I will take through the material. The closest is probably:
"C*-algebras by Example", K. R. Davidson, Fields Institute Monographs, A. M. S.
I strongly recommend this text for its wealth of examples (and attractive exposition). UCB students can freely download this book through the librart website.

Comments   The theory of operator algebras grew out of the needs of quantum mechanics, but by now it also has strong interactions with many other areas of mathematics. Operator algebras are very profitably viewed as "non-commutative (algebras"of functions" on) spaces", thus "quantum spaces". As a rough outline, we will first develop the basic facts about C*-algebras ("non-commutative locally compact spaces"), and examine a number of interesting examples. We will then briefly look at "non-commutative differential geometry". Finally, time permitting,we will glance at "non-commutative vector bundles" and K-theory ("noncommutative algebraic topology") . But I will not assume any prior knowledge of algebraic topology or differential geometry, and we are unlikely to have time to go into these last topics in any depth.(For a vast panorama of the applications I strongly recommend Alain Connes' 1994 book "Noncommutative Geometry", which can be freely downloaded from the web. Of course much has happened since that book was written, but it is still a very good guide to the very large variety of applications.)

In spite of what is written above, the style of my lectures will be to give motivational discussion and complete proofs for the central topics, rather than just a rapid survey of a large amount of material.

Grading Letter grade. I plan to assign problem sets roughly every other week. Grades for the course will be based on the work done on these. But students who would like a different arrangement are very welcome to discuss this with me. There will be no final examination.

Course Webpage Link on math.berkeley.edu/~rieffel

Differentiable Manifolds

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineRichard H Bamler26693
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 202A

Description Smooth manifolds and maps, tangent and normal bundles. Sard's theorem and transversality, Whitney embedding theorem. Morse functions, differential forms, Stokes' theorem, Frobenius theorem. Basic degree theory. Flows, Lie derivative, Lie groups and algebras. Additional topics selected by instructor.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Algebraic Topology

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlineConstantin Teleman25729
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 215A, 214 recommended (can be taken concurrently)

Description Fundamental group and covering spaces, simplicial and singular homology theory with applications, cohomology theory, duality theorem. Homotopy theory, fibrations, relations between homotopy and homology, obstruction theory, and topics from spectral sequences, cohomology operations, and characteristic classes. Sequence begins fall.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Probability Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineJames W Pitman22863
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description The course is designed as a sequence with with Statistics C205A/Mathematics C218A with the following combined syllabus. Measure theory concepts needed for probability. Expection, distributions. Laws of large numbers and central limit theorems for independent random variables. Characteristic function methods. Conditional expectations, martingales and martingale convergence theorems. Markov chains. Stationary processes. Brownian motion.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Dynamical Systems

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 03:30PM - 04:59PMInternet/OnlineFraydoun Rezakhanlou26688
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 214

Description Diffeomorphisms and flows on manifolds. Ergodic theory. Stable manifolds, generic properties, structural stability. Additional topics selected by the instructor.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineMaciej R Zworski22864
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 222A

Description: The first part of the course will cover Sobolev spaces, Gagliardo--Nirenberg--Sobolev and Morrey inequalties, Schauder estimates and some applications. We will continue with basic microlocal analysis with applications to hyperbolic equations (the Cauchy problem via energy estimates and the parametrix constructions), unique continuation and other topics.  Basic Fourier analysis and theory of distributions (as covered in 222A in the Fall of 2020) are the only prerequisites.

Office Hours: Wed 2-4 PM (via Zoom)

Required Text:  "Partial Differential Equations" by LC Evans (available on-line to UC students at https://bookstore.ams.org/ ) and  "Microlocal Analysis for Differential Operators" by A Grigis and J Sjostrand (available on-line to UC students at https://www.cambridge.org/ )

Grading Letter grade.

Homework weekly homework assignments (total of 8 assignments)

Course Webpage  https://math.berkeley.edu/~zworski/222B_21.html

Advanced Topics in Probablity and Stochastic Processes

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineSteven N Evans22865
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description The topics of this course change each semester, and multiple sections may be offered. Advanced topics in probability offered according to students demand and faculty availability.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Metamathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 02:00PM - 02:59PMInternet/OnlinePierre A Simon22866
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 125A and (135 or 136)

Description Metamathematics of predicate logic. Completeness and compactness theorems. Interpolation theorem, definability, theory of models. Metamathematics of number theory, recursive functions, applications to truth and provability. Undecidable theories. Sequence begins fall.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Theory of Recursive Functions

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlineTheodore Slaman33713
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Mathematics 225B

Description Recursive and recursively enumerable sets of natural numbers; characterizations, significance, and classification. Relativization, degrees of unsolvability. The recursion theorem. Constructive ordinals, the hyperarithmetical and analytical hierarchies. Recursive objects of higher type. Sequence begins fall.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Numerical Solution of Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlineJon A Wilkening22867
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 128A

Description Ordinary differential equations: Runge-Kutta and predictor-corrector methods; stability theory, Richardson extrapolation, stiff equations, boundary value problems. Partial differential equations: stability, accuracy and convergence, Von Neumann and CFL conditions, finite difference solutions of hyperbolic and parabolic equations. Finite differences and finite element solution of elliptic equations.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Complex Manifolds

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECWeFr 02:00PM - 03:29PMInternet/OnlineSong Sun26692
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 214 and 215A

Description Riemann surfaces, divisors and line bundles on Riemann surfaces, sheaves and the Dolbeault theorem on Riemann surfaces, the classical Riemann-Roch theorem, theorem of Abel-Jacobi. Complex manifolds, Kahler metrics. Summary of Hodge theory, groups of line bundles, additional topics such as Kodaira's vanishing theorem, Lefschetz hyperplane theorem.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Algebraic Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineSylvie M Corteel26698
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 250A or consent of instructor

Description (I) Enumeration, generating functions and exponential structures, (II) Posets and lattices, (III) Geometric combinatorics, (IV) Symmetric functions, Young tableaux, and connections with representation theory. Further study of applications of the core material and/or additional topics, chosen by instructor.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Commutative Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 11:00AM - 11:59AMGenetics & Plant Bio 100Richard E. Borcherds22868
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 250A

Description Development of the main tools of commutative and homological algebra applicable to algebraic geometry, number theory and combinatorics.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Number Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 10:00AM - 10:59AMInternet/OnlinePaul A Vojta24630
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 254A and 256A

Description Valuations, units, and ideals in number fields, ramification theory, quadratic and cyclotomic fields, topics from class field theory, zeta-functions and L-series, distribution of primes, modular forms, quadratic forms, diophantine equations, P-adic analysis, and transcendental numbers. Sequence begins fall.

Office 883 Evans

Office Hours TBD

Required Text None (notes will be provided)

Recommended Reading None

Grading Letter grade.

Homework Weekly or biweekly, with a final homework assignment due during finals week

Course Webpage https://math.berkeley.edu/~vojta/254b.html

Algebraic Geometry

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlinePaul A Vojta22869
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 256A

Description Affine and projective algebraic varieties. Theory of schemes and morphisms of schemes. Smoothness and differentials in algebraic geometry. Coherent sheaves and their cohomology. Riemann-Roch theorem and selected applications. Sequence begins fall.

Office 883 Evans

Office Hours TBD

Required Text Algebraic Geometry, Hartshorne, Springer

Recommended Reading None

Grading Letter grade.

Homework Weekly or biweekly, with a final homework assignment due during finals week

Course Webpage https://math.berkeley.edu/~vojta/256b.html

Group Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineEdward Frenkel31320
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 250A

Description We will start with the braid groups, an excellent case study for infinite discrete groups, which can be defined by generators and relations as well as geometrically, as fundamental (or mapping class) groups. Symmetric groups and Hecke algebras appear naturally from braid groups. As an application, we will discuss the Jones polynomial and its generalizations. After a brief survey of simple Lie groups, will look at groups from the Hopf algebra perspective and use it to go from groups to quantum groups. Next, the Tannakian formalism, which enables one to reconstruct an algebraic group from the tensor category of its representations. Time permitting, we will also discuss loop groups, affine Grassmannians, and the geometric Satake correspondence.

Office 

Office Hours 

Required Text

Recommended Reading  We will use these books, available electronically from Springer Link (via a UCB login):

Christian Kassel and Vladimir Turaev, Braid Groups, Springer GTM 247

Christian Kassel, Quantum Groups, Springer GTM 155

as well as other materials that will be made available by the instructor in due time.

Grading Letter grade.

Homework 

Course Webpage 

Lie Groups

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 05:00PM - 06:29PMInternet/OnlineSemeon Artamonov26690
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 214

Description Lie groups and Lie algebras, fundamental theorems of Lie, general structure theory; compact, nilpotent, solvable, semi-simple Lie groups; classification theory and representation theory of semi-simple Lie algebras and Lie groups, further topics such as symmetric spaces, Lie transformation groups, etc., if time permits. In view of its simplicity and its wide range of applications, it is preferable to cover compact Lie groups and their representations in 261A. Sequence begins Fall.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Topics in Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineBernd Sturmfels26691
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Consent of instructor

Description Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Topics in Topology

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineIan Agol31355
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Consent of instructor

Description Survey of Knot Theory. We will discuss different classes of knots and knot invariants.

Knots and links are closed embedded curves in 3-dimensional Euclidean space.

Knot theory describes the classification of knots and their relations to many

related topics. There are a plethora of invariants of knots in order to distinguish

them up to isotopy (continuous deformation preserving the embedding). The

goal of this topics class will be to investigate some of these invariants, hopefully

finding some connections between different invariants and highlighting some open problems. 

We will also investigate many special classes of knots and links. Examples are hyperbolic knots, fibered knots,

alternating knots, algebraic knots, quasipositive knots, etc. Each week we will consider a different class of

or invariants and explore their interrelationships. 

 

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework A final presentation.

Course Webpage 

Topics in Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWe 09:30AM - 10:59AMInternet/OnlineAlan Hammond31358
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Consent of instructor

Description Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Topics in Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineMaciej R Zworski27012
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites Basic analysis background, some basic probability theory; consent of instructor

Description Random perturbations of non-self-adjoint operators

Office Hours: by appointment

Required Text Johannes Sjöstrand, Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations, (available via UC Berkeley proxy)

Recommended Reading Maciej Zworski Semiclassical Analysis, (for some supplementary and background material -- relevant hand-outs will be available)

Grading Letter grade.

Course Webpage https://math.berkeley.edu/~zworski/279_21.html

Topics in Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineThomas Alazard33026
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 

Description A classical subject in the mathematical theory of hydrodynamics consists in studying the evolution of the free surface separating the air from a perfect incompressible fluid. We will examine this problem for two important sets of equations: the water wave equations and the Hele-Shaw equations, including the Muskat problem. They are of different nature, dispersive versus parabolic, but we will see that they can be studied by related tools.

These courses are intended for graduate students with a general interest in analysis and no pre-requisites about any advanced theory is required. A large part of the courses will consist of short self-contained introductions to the following topics: Paradifferential calculus, the fractional Laplacian and the multiplier methods of Morawetz and Lions. These lectures also aim to give a self-contained introduction to certain aspects at the cutting edge of research. I will give a detailed analysis of the Cauchy problem for the water wave, Hele-Shaw and Muskat equations.

Office 

Office Hours 

Required Text  None.  Professor Alazard will type lecture notes and post them every week on his webpage.

Recommended Reading 

Grading Letter grade.

Homework 

Course Webpage 

Teaching Workshop

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECWe 05:00PM - 06:59PMInternet/OnlineRockford D Foster22871
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Additional Information:

Prerequisites 300, graduate standing and appointment as a Graduate Student Instructor

Description Mandatory for all graduate student instructors teaching for the first time in the Mathematics Department. The course consists of practice teaching, alternatives to standard classroom methods, guided group and self-analysis of videotapes, reciprocal classroom visitations, and an individual project.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Offered for satisfactory/unsatisfactory grade only.

Homework 

Course Webpage 

Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 05:00PM - 06:29PMInternet/OnlineMINA AGANAGIC22598
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISTuTh 08:00AM - 09:29AMInternet/OnlineSean Alexander Gonzales22599
102 DISTuTh 08:00AM - 09:29AMInternet/OnlineRebecca Cooley Whitman22600
103 DISTuTh 09:30AM - 10:59AMInternet/OnlineSean Alexander Gonzales22601
104 DISTuTh 09:30AM - 10:59AMInternet/OnlineHaoren Xiong22602
105 DISTuTh 09:30AM - 10:59AMInternet/OnlineRebecca Cooley Whitman22603
106 DISTuTh 11:00AM - 12:29PMInternet/OnlineYifei Xing22604
107 DISTuTh 11:00AM - 12:29PMInternet/OnlineClaire Mirocha22605
108 DISTuTh 12:30PM - 01:59PMInternet/OnlineClaire Mirocha22606
109 DISTuTh 12:30PM - 01:59PMInternet/OnlineYifei Xing22607
110 DISTuTh 02:00PM - 03:29PMInternet/OnlineZirui Zhou22608
113 DISTuTh 03:30PM - 04:59PMInternet/OnlineEric Arthur Jankowski25355
114 DISTuTh 05:00PM - 06:29PMInternet/OnlineEric Arthur Jankowski25378
115 DISTuTh 05:00PM - 06:29PMInternet/OnlineHaoren Xiong25713
116 DISTuTh 06:30PM - 07:59PMInternet/OnlineZirui Zhou31331

Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 11:00AM - 11:59AMInternet/OnlineNicolai Y Reshetikhin22611
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISTuTh 08:00AM - 09:29AMInternet/OnlineUtkarsh Yadav22613
102 DISTuTh 08:00AM - 09:29AMInternet/OnlineVishnu Swaroop Vijaykumar22614
103 DISTuTh 08:00AM - 09:29AMInternet/OnlineRose Eleanor Lopez22615
104 DISTuTh 09:30AM - 10:59AMInternet/OnlineRose Eleanor Lopez22616
105 DISTuTh 09:30AM - 10:59AMInternet/OnlineMichelle Lui22617
106 DISTuTh 09:30AM - 10:59AMInternet/OnlineXinyu Zhao22618
107 DISTuTh 11:00AM - 12:29PMInternet/OnlineXinyu Zhao22619
108 DISTuTh 11:00AM - 12:29PMInternet/OnlineUtkarsh Yadav22620
109 DISTuTh 11:00AM - 12:29PMInternet/OnlineQinyi Zhu22621
110 DISTuTh 12:30PM - 01:59PMInternet/OnlineVishnu Swaroop Vijaykumar22622
111 DISTuTh 12:30PM - 01:59PMInternet/OnlineQinyi Zhu22623
112 DISTuTh 12:30PM - 01:59PMInternet/OnlineIan Francis22624
113 DISTuTh 02:00PM - 03:29PMInternet/OnlineIan Francis22625
114 DISTuTh 02:00PM - 03:29PMInternet/OnlineBo Li22626
115 DISTuTh 03:30PM - 04:59PMInternet/OnlineBo Li22627
116 DISTuTh 03:30PM - 04:59PMInternet/OnlineMichelle Lui22628
117 DISTuTh 05:00PM - 06:29PMInternet/OnlineAnaka Maher22629
118 DISTuTh 05:00PM - 06:29PMInternet/OnlineAubrey Gross24642
119 DISTuTh 06:30PM - 07:59PMInternet/OnlineAnaka Maher25347
120 DISTuTh 06:30PM - 07:59PMInternet/OnlineAubrey Gross25365
121 DISTuTh 02:00PM - 03:29PMInternet/OnlineBrinda Gurusamy31398
122 DISTuTh 03:30PM - 04:59PMInternet/OnlineBrinda Gurusamy31399

Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 09:30AM - 10:59AMInternet/OnlineAlexander Paulin22612
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
201 DISMoWeFr 08:00AM - 08:59AMInternet/OnlineFrederick Huang22630
202 DISMoWeFr 08:00AM - 08:59AMInternet/OnlineGrace Gordon22631
203 DISMoWeFr 09:00AM - 09:59AMInternet/OnlineFrederick Huang22632
204 DISMoWeFr 09:00AM - 09:59AMInternet/OnlineZachary Justin Stier22633
205 DISMoWeFr 10:00AM - 10:59AMInternet/OnlineZachary Justin Stier22634
206 DISMoWeFr 10:00AM - 10:59AMInternet/OnlineCharles T Cifarelli22635
207 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineNan Luo22636
208 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineCharles T Cifarelli22637
209 DISMoWeFr 12:00PM - 12:59PMInternet/OnlineRavi Fernando22638
210 DISMoWeFr 12:00PM - 12:59PMInternet/OnlineGrace Gordon22639
211 DISMoWeFr 01:00PM - 01:59PMInternet/OnlineRavi Fernando22640
212 DISMoWeFr 01:00PM - 01:59PMInternet/OnlineNan Luo22641
213 DISMoWeFr 02:00PM - 02:59PMInternet/OnlineJiefu Zhang22642
214 DISMoWeFr 02:00PM - 02:59PMInternet/OnlineAhmad Zaid Abassi22643
215 DISMoWeFr 03:00PM - 03:59PMInternet/OnlineJiefu Zhang22644
216 DISMoWeFr 03:00PM - 03:59PMInternet/OnlineJacopo Di Bonito22645
217 DISMoWeFr 04:00PM - 04:59PMInternet/OnlineAhmad Zaid Abassi24643
218 DISMoWeFr 04:00PM - 04:59PMInternet/OnlineJacopo Di Bonito24644
219 DISMoWeFr 05:00PM - 05:59PMInternet/OnlineZachary James McNulty24645
220 DISMoWeFr 06:00PM - 06:59PMInternet/OnlineZachary James McNulty24646
221 DISMoWeFr 10:00AM - 10:59AMInternet/OnlineChristine Chow25837
222 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineChristine Chow25838
223 DISMoWeFr 08:00AM - 08:59AMInternet/OnlineEmma Rose Erickson33637
224 DISMoWeFr 09:00AM - 09:59AMInternet/OnlineEmma Rose Erickson33638

Methods of Mathematics: Calculus, Statistics, and Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineKelli Talaska22646
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISTuTh 08:00AM - 09:29AMInternet/OnlineThomas Lee Browning22648
102 DISTuTh 09:30AM - 10:59AMInternet/OnlineAndrew Louis Scharf22649
103 DISTuTh 11:00AM - 12:29PMInternet/OnlineThomas Lee Browning22650
104 DISTuTh 11:00AM - 12:29PMInternet/OnlineAndrew Louis Scharf22651
105 DISTuTh 12:30PM - 01:59PMInternet/OnlineConnor James Halleck-Dube22652
106 DISTuTh 12:30PM - 01:59PMInternet/OnlineLeon Yue Zhang22653
107 DISTuTh 02:00PM - 03:29PMInternet/OnlineConnor James Halleck-Dube22654
109 DISTuTh 03:30PM - 04:59PMInternet/OnlineLeon Yue Zhang22656
111 DISTuTh 05:00PM - 06:29PMInternet/OnlineYelena Mandelshtam26002
112 DISTuTh 06:30PM - 07:59PMInternet/OnlineYelena Mandelshtam26003

Methods of Mathematics: Calculus, Statistics, and Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 03:00PM - 03:59PMInternet/OnlineKelli Talaska22647
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
201 DISTuTh 08:00AM - 09:29AMInternet/OnlineJiazhen Tan22658
202 DISTuTh 09:30AM - 10:59AMInternet/OnlineJiazhen Tan22659
203 DISTuTh 11:00AM - 12:29PMInternet/OnlineMax L Hlavacek22660
204 DISTuTh 12:30PM - 01:59PMInternet/OnlineMax L Hlavacek22661
205 DISTuTh 02:00PM - 03:29PMInternet/OnlineAdam Lemuel Dhillon22662
206 DISTuTh 03:30PM - 04:59PMInternet/OnlineAdam Lemuel Dhillon22663
207 DISTuTh 05:00PM - 06:29PMInternet/OnlineYifan Chen22664
208 DISTuTh 06:30PM - 07:59PMInternet/OnlineYifan Chen22665

Analytic Geometry and Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineTheodore Slaman22668
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISTh 08:00AM - 09:29AMInternet/OnlineMatthew McCauley22669
102 DISTh 08:00AM - 09:29AMInternet/OnlineKatrina Biele, Benjamin T Castle22670
103 DISTh 09:30AM - 10:59AMInternet/OnlineMatthew McCauley22671
104 DISTh 09:30AM - 10:59AMInternet/OnlineKatrina Biele, Benjamin T Castle22672
105 DISTh 11:00AM - 12:29PMInternet/OnlineMatthew McCauley22673
106 DISTh 11:00AM - 12:29PMInternet/OnlineKatrina Biele, Benjamin T Castle25714
107 DISTh 12:30PM - 01:59PMInternet/OnlineAnningzhe Gao22674
108 DISTh 03:30PM - 04:59PMInternet/OnlineAnningzhe Gao22675
109 DISTh 05:00PM - 06:29PMInternet/OnlineAnningzhe Gao22676

Analytic Geometry and Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 02:00PM - 02:59PMInternet/OnlineArun Sharma22680
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISTu 08:00AM - 09:29AMInternet/OnlineAnthony Villafranca22682
102 DISTu 08:00AM - 09:29AMInternet/OnlineTong Zhou25815
103 DISTu 09:30AM - 10:59AMInternet/OnlineAnthony Villafranca22683
104 DISTu 09:30AM - 10:59AMInternet/OnlineTong Zhou22684
105 DISTu 11:00AM - 12:29PMInternet/OnlineAnthony Villafranca22685
106 DISTu 12:30PM - 01:59PMInternet/OnlineTong Zhou22686
107 DISTu 02:00PM - 03:29PMInternet/OnlineEdric Wang22687
108 DISTu 03:30PM - 04:59PMInternet/OnlineEdric Wang22688
109 DISTu 05:00PM - 06:29PMInternet/OnlineEdric Wang22689

Analytic Geometry and Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineArun Sharma22681
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
201 DISTu 08:00AM - 09:29AMInternet/OnlineJeremy William Taylor22693
202 DISTu 08:00AM - 09:29AMInternet/OnlineMax Zubkov22694
203 DISTu 09:30AM - 10:59AMInternet/OnlineJeremy William Taylor22695
204 DISTu 09:30AM - 10:59AMInternet/OnlineMax Zubkov22696
205 DISTu 11:00AM - 12:29PMInternet/OnlineJeremy William Taylor22697
206 DISTu 11:00AM - 12:29PMInternet/OnlineMax Zubkov22698
207 DISTu 12:30PM - 01:59PMInternet/OnlineRitvik Ramkumar22699
208 DISTu 12:30PM - 01:59PMInternet/OnlineYafei Li22700
209 DISTu 02:00PM - 03:29PMInternet/OnlineRitvik Ramkumar22701
210 DISTu 03:30PM - 04:59PMInternet/OnlineRitvik Ramkumar22702
211 DISTu 05:00PM - 06:29PMInternet/OnlineYafei Li26709
212 DISTu 06:30PM - 07:59PMInternet/OnlineYafei Li26710

Freshman Seminars

Schedule:

SectionDays/TimesLocationInstructorClass
001 SEMTh 10:00AM - 11:59AMInternet/OnlineFrancisco A Grunbaum22703
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Precalculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 03:00PM - 03:59PMInternet/OnlineEthan Dlugie22705
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
102 DISMoWe 11:00AM - 11:59AMInternet/OnlineScott Isaac Mutchnik22707
103 DISMoWe 12:00PM - 12:59PMInternet/OnlineScott Isaac Mutchnik22708

Multivariable Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineZvezdelina Stankova22710
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISTuTh 08:00AM - 09:29AMInternet/OnlineDavid James Casey22712
102 DISTuTh 08:00AM - 09:29AMInternet/OnlineJohn Stephen Nolan22713
103 DISTuTh 09:30AM - 10:59AMInternet/OnlineDavid James Casey22714
104 DISTuTh 09:30AM - 10:59AMInternet/OnlineJohn Stephen Nolan22715
105 DISTuTh 11:00AM - 12:29PMInternet/OnlineJunsheng Zhang22716
106 DISTuTh 11:00AM - 12:29PMInternet/OnlineMichael J Yeh22717
107 DISTuTh 12:30PM - 01:59PMInternet/OnlineJunsheng Zhang22718
108 DISTuTh 12:30PM - 01:59PMInternet/OnlineMichael J Yeh25715
109 DISTuTh 02:00PM - 03:29PMInternet/OnlineCarlos Esparza Sanchez22719
110 DISTuTh 02:00PM - 03:29PMInternet/OnlinePranav Trivedi22720
111 DISTuTh 03:30PM - 04:59PMInternet/OnlineCarlos Esparza Sanchez22721
112 DISTuTh 03:30PM - 04:59PMInternet/OnlinePranav Trivedi22722
113 DISTuTh 05:00PM - 06:29PMInternet/OnlineMingyang Li22723
114 DISTuTh 06:30PM - 07:59PMInternet/OnlineMingyang Li22724

Multivariable Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineZvezdelina Stankova22711
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
201 DISTuTh 08:00AM - 09:29AMInternet/OnlineTheodore Coyne22728
202 DISTuTh 08:00AM - 09:29AMInternet/OnlineMichael B Smith22729
203 DISTuTh 09:30AM - 10:59AMInternet/OnlineTheodore Coyne22730
204 DISTuTh 09:30AM - 10:59AMInternet/OnlineMichael B Smith22731
205 DISTuTh 11:00AM - 12:29PMInternet/OnlineMarvin Castellon22732
206 DISTuTh 11:00AM - 12:29PMInternet/OnlineXiaoyu Huang22733
207 DISTuTh 12:30PM - 01:59PMInternet/OnlineMarvin Castellon22734
208 DISTuTh 12:30PM - 01:59PMInternet/OnlineXiaoyu Huang22735
209 DISTuTh 02:00PM - 03:29PMInternet/OnlineYuchen Mao22736
210 DISTuTh 02:00PM - 03:29PMInternet/OnlineSean Daniel Murphy22737
211 DISTuTh 03:30PM - 04:59PMInternet/OnlineSean Daniel Murphy22738
212 DISTuTh 03:30PM - 04:59PMInternet/OnlineYuchen Mao22739
213 DISTuTh 05:00PM - 06:29PMInternet/OnlineZhongkai Tao22740
214 DISTuTh 06:30PM - 07:59PMInternet/OnlineZhongkai Tao22741

Honors Multivariable Calculus

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineDavid A Corwin24584
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineMichael B Smith24585

Linear Algebra and Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineNikhil Srivastava25957
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISMoWeFr 08:00AM - 08:59AMInternet/OnlineJulian C Chaidez22746
102 DISMoWeFr 08:00AM - 08:59AMInternet/OnlinePatrick George Lutz22747
103 DISMoWeFr 09:00AM - 09:59AMInternet/OnlineJulian C Chaidez22748
104 DISMoWeFr 09:00AM - 09:59AMInternet/OnlinePatrick George Lutz22749
105 DISMoWeFr 10:00AM - 10:59AMInternet/OnlineDiego Bejarano Rayo22750
106 DISMoWeFr 10:00AM - 10:59AMInternet/OnlineAaron N Brookner22751
107 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineDiego Bejarano Rayo22752
108 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineAaron N Brookner22753
109 DISMoWeFr 12:00PM - 12:59PMInternet/OnlineGerman Ezequiel Stefanich22754
110 DISMoWeFr 12:00PM - 12:59PMInternet/OnlineAaron N Brookner22755
111 DISMoWeFr 01:00PM - 01:59PMInternet/OnlineGerman Ezequiel Stefanich22756
112 DISMoWeFr 01:00PM - 01:59PMInternet/OnlineAlois Cerbu22757
113 DISMoWeFr 02:00PM - 02:59PMInternet/OnlineMostafa Adnane22758
114 DISMoWeFr 02:00PM - 02:59PMInternet/OnlineNima Moini22759
115 DISMoWeFr 03:00PM - 03:59PMInternet/OnlineMostafa Adnane22760
116 DISMoWeFr 03:00PM - 03:59PMInternet/OnlineNima Moini22761
117 DISMoWeFr 04:00PM - 04:59PMInternet/OnlineYiling You24659
118 DISMoWeFr 05:00PM - 05:59PMInternet/OnlineYiling You24660
119 DISMoWeFr 05:00PM - 05:59PMInternet/OnlineXiaohan Yan31314
120 DISMoWeFr 06:00PM - 06:59PMInternet/OnlineXiaohan Yan31315

Linear Algebra and Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 08:00AM - 09:29AMInternet/OnlineKatrin Wehrheim22745
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
201 DISMoWeFr 08:00AM - 08:59AMInternet/OnlineGuillaume Massas22762
202 DISMoWeFr 08:00AM - 08:59AMInternet/OnlineDaniel O Chupin22763
203 DISMoWeFr 09:00AM - 09:59AMInternet/OnlineGuillaume Massas25717
204 DISMoWeFr 09:00AM - 09:59AMInternet/OnlineDaniel O Chupin25718
205 DISMoWeFr 10:00AM - 10:59AMInternet/OnlineKiran Luecke22764
206 DISMoWeFr 10:00AM - 10:59AMInternet/OnlineJian Wang22765
207 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineKiran Luecke25719
208 DISMoWeFr 11:00AM - 11:59AMInternet/OnlineJian Wang22766
209 DISMoWeFr 12:00PM - 12:59PMInternet/OnlineDavid A Keating22767
210 DISMoWeFr 12:00PM - 12:59PMInternet/OnlineMariana Vicaria22768
211 DISMoWeFr 01:00PM - 01:59PMInternet/OnlineDavid A Keating22769
212 DISMoWeFr 01:00PM - 01:59PMInternet/OnlineMariana Vicaria22770
213 DISMoWeFr 02:00PM - 02:59PMInternet/OnlineSuhrid Saha22771
214 DISMoWeFr 02:00PM - 02:59PMInternet/OnlineKristina Nelson22772
215 DISMoWeFr 03:00PM - 03:59PMInternet/OnlineSuhrid Saha22773
216 DISMoWeFr 03:00PM - 03:59PMInternet/OnlineKristina Nelson22774
217 DISMoWeFr 04:00PM - 04:59PMInternet/OnlineLucas Jaffe22775
218 DISMoWeFr 05:00PM - 05:59PMInternet/OnlineLucas Jaffe22776
219 DISMoWeFr 05:00PM - 05:59PMInternet/OnlineChi Cheuk Tsang24661
220 DISMoWeFr 06:00PM - 06:59PMInternet/OnlineChi Cheuk Tsang24662

Discrete Mathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineMark Haiman22777
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISMoWe 08:00AM - 08:59AMInternet/OnlineCalvin Mcphail-Snyder22778
102 DISMoWe 09:00AM - 09:59AMInternet/OnlineCalvin Mcphail-Snyder22779
103 DISMoWe 10:00AM - 10:59AMInternet/OnlineEduardo Camilo Oregon Reyes22780
104 DISMoWe 11:00AM - 11:59AMInternet/OnlineEduardo Camilo Oregon Reyes22781
105 DISMoWe 12:00PM - 12:59PMInternet/OnlineRobert Wang25720
106 DISMoWe 01:00PM - 01:59PMInternet/OnlineRobert Wang22782
107 DISMoWe 02:00PM - 02:59PMInternet/OnlineOvidiu-Neculai Avadanei22783
108 DISMoWe 03:00PM - 03:59PMInternet/OnlineOvidiu-Neculai Avadanei22784
109 DISMoWe 04:00PM - 04:59PMInternet/OnlineBenjamin Siskind22785
110 DISMoWe 05:00PM - 05:59PMInternet/OnlineBenjamin Siskind24663

Supervised Group Study

Schedule:

SectionDays/TimesLocationInstructorClass
009 GRPTuTh 03:30PM - 04:59PMInternet/OnlinePer-Olof Sigfrid Persson22794
UnitsEnrollment StatusSession
1-4Open2021 Spring, January 19 - May 07

Supervised Group Study

Schedule:

SectionDays/TimesLocationInstructorClass
010 GRPTuTh 05:00PM - 06:29PMInternet/OnlineAndrew Justin Shi, Per-Olof Sigfrid Persson22795
UnitsEnrollment StatusSession
1-4Open2021 Spring, January 19 - May 07

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
001 DISWe 06:00PM - 06:59PMInternet/OnlineJorge Garza Vargas19590
UnitsEnrollment StatusSession
1Closed2021 Spring, January 19 - May 07

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
002 DISTu 06:00PM - 06:59PMInternet/OnlineAdele L Padgett19591
UnitsEnrollment StatusSession
1Closed2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineMariusz Wodzicki22809
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 11:00AM - 12:29PMInternet/OnlineYu-Wei Fan22810
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
003 LECTuTh 08:00AM - 09:29AMInternet/OnlineKoji Shimizu22811
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
004 LECTuTh 09:30AM - 10:59AMInternet/OnlineKoji Shimizu22812
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
005 LECTuTh 09:30AM - 10:59AMInternet/OnlinePeng Zhou22813
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
006 LECTuTh 12:30PM - 01:59PMInternet/OnlinePeng Zhou24852
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
007 LECMoWeFr 02:00PM - 02:59PMInternet/OnlineDmitry Vaintrob25157
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
008 LECTuTh 02:00PM - 03:29PMInternet/OnlineIan L Charlesworth25268
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
009 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineRui Wang31595
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Second Course in Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineRyan A Hass22814
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Linear Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineOlga V. Holtz22815
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISFr 08:00AM - 08:59AMInternet/OnlineAhmee Khalil Marshall-Christensen22816
102 DISFr 08:00AM - 08:59AMInternet/OnlineTheodore T Zhu22817
103 DISFr 09:00AM - 09:59AMInternet/OnlineAhmee Khalil Marshall-Christensen22818
104 DISFr 09:00AM - 09:59AMInternet/OnlineTheodore T Zhu22819
105 DISFr 10:00AM - 10:59AMInternet/OnlineAhmee Khalil Marshall-Christensen22820
106 DISFr 10:00AM - 10:59AMInternet/OnlineTheodore T Zhu22821
107 DISFr 11:00AM - 11:59AMInternet/OnlineMax Wimberley22822
108 DISFr 11:00AM - 11:59AMInternet/OnlineSatyaki Mukherjee22823
109 DISFr 12:00PM - 12:59PMInternet/OnlineMax Wimberley22824
110 DISFr 01:00PM - 01:59PMInternet/OnlineSatyaki Mukherjee22825
111 DISFr 02:00PM - 02:59PMInternet/OnlineMax Wimberley26694
112 DISFr 03:00PM - 03:59PMInternet/OnlineSatyaki Mukherjee24664
113 DISFr 04:00PM - 04:59PMInternet/OnlineZixin Jiang24805
114 DISFr 05:00PM - 05:59PMInternet/OnlineZixin Jiang24806
115 DISFr 06:00PM - 06:59PMInternet/OnlineZixin Jiang24807

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineJeremy Lovejoy22826
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 03:30PM - 04:59PMInternet/OnlineGabriel T Goldberg22827
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
003 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineDan-Virgil Voiculescu22828
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
004 LECTuTh 02:00PM - 03:29PMInternet/OnlineMariusz Wodzicki22829
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
005 LECTuTh 05:00PM - 06:29PMInternet/OnlineGabriel D Dorfsman-Hopkins22830
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
006 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineRui Wang22831
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
007 LECMoWeFr 11:00AM - 11:59AMInternet/OnlineJeremy Lovejoy24856
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
008 LECTuTh 09:30AM - 10:59AMInternet/OnlineChristopher J Ryba25280
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Honors Introduction to Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineEdward Frenkel22832
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Second Course in Abstract Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 11:00AM - 11:59AMInternet/OnlineEmiliano Gomez24586
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Number Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 08:00AM - 09:29AMInternet/OnlineKenneth A Ribet31318
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Mathematical Tools for the Physical Sciences

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineMarc A Rieffel22833
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Programming for Mathematical Applications

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlinePer-Olof Sigfrid Persson25723
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISWe 09:00AM - 09:59AMInternet/OnlineYixiang Luo25724
102 DISWe 10:00AM - 10:59AMInternet/OnlineYixiang Luo25725
103 DISWe 11:00AM - 11:59AMInternet/OnlineJeffmin Lin26684
104 DISWe 12:00PM - 12:59PMInternet/OnlineJeffmin Lin26685

Introduction to Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineSung-jin Oh24587
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Numerical Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineMing Gu22834
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISWe 08:00AM - 08:59AMInternet/OnlineMichael Neidhart Heinz22835
102 DISWe 09:00AM - 09:59AMInternet/OnlineMichael Neidhart Heinz22836
103 DISWe 10:00AM - 10:59AMInternet/OnlineMichael Neidhart Heinz22837
104 DISWe 11:00AM - 11:59AMInternet/OnlineIzak Oltman22838
105 DISWe 12:00PM - 12:59PMInternet/OnlineIzak Oltman22839
106 DISWe 01:00PM - 01:59PMInternet/OnlineIzak Oltman22840
107 DISWe 02:00PM - 02:59PMInternet/OnlineRaehyun Kim22841
108 DISWe 03:00PM - 03:59PMInternet/OnlineRaehyun Kim22842
109 DISWe 04:00PM - 04:59PMInternet/OnlineRaehyun Kim24824
110 DISWe 05:00PM - 05:59PMInternet/OnlineJiaming Wang25234
111 DISWe 06:00PM - 06:59PMInternet/OnlineJiaming Wang25366
112 DISWe 07:00PM - 07:59PMInternet/OnlineJiaming Wang25367

Numerical Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineOlga V. Holtz22843
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DISWe 10:00AM - 10:59AMInternet/OnlineOliver Edtmair22844
102 DISWe 11:00AM - 11:59AMInternet/OnlineOliver Edtmair25396

Incompleteness and Undecidability

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlinePierre A Simon26682
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Metric Differential Geometry

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 02:00PM - 02:59PMInternet/OnlineJohn W. Lott25722
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Elementary Algebraic Geometry

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 08:00AM - 09:29AMInternet/OnlineDaniel A Bragg26699
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Mathematics of the Secondary School Curriculum II

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineOle H Hald25726
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Discussions:

SectionDays/TimesLocationInstructorClass
101 DIS   25727

History of Mathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineOle H Hald22845
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 03:30PM - 04:59PMInternet/OnlineSylvie M Corteel31319
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 05:00PM - 06:29PMInternet/OnlineKhalilah Beal22846
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECTuTh 09:30AM - 10:59AMInternet/OnlineSebastian Eterovic22847
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
003 LECTuTh 12:30PM - 01:59PMInternet/OnlineYu-Wei Fan22848
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
004 LECTuTh 05:00PM - 06:29PMInternet/OnlineDi Fang22849
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
005 LECTuTh 12:30PM - 01:59PMInternet/OnlineFrancisco A Grunbaum24853
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
006 LECTuTh 11:00AM - 12:29PMInternet/OnlineNicholas Miller25269
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
007 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineIvan Danilenko25391
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
008 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineRyan A Hass26930
UnitsEnrollment StatusSession
4Closed2021 Spring, January 19 - May 07

Honors Introduction to Complex Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineAlexandre Givental25022
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Special Topics in Mathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineL Craig Evans31310
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
001 DISWe 07:00PM - 07:59PM Jorge Garza Vargas19586
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
002 DISTu 07:00PM - 07:59PM Kubrat Danailov19587
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
003 DISTu 06:00PM - 06:59PM Kubrat Danailov19588
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Berkeley Connect

Schedule:

SectionDays/TimesLocationInstructorClass
004 DISTu 07:00PM - 07:59PM Adele L Padgett19589
UnitsEnrollment StatusSession
1Open2021 Spring, January 19 - May 07

Introduction to Topology and Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineFrancis Michael Christ22862
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Theory of Functions of a Complex Variable

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 03:30PM - 04:59PMInternet/OnlineDan-Virgil Voiculescu26689
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

C*-algebras

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 12:00PM - 12:59PMInternet/OnlineMarc A Rieffel31336
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Differentiable Manifolds

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineRichard H Bamler26693
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Algebraic Topology

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlineConstantin Teleman25729
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Probability Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMInternet/OnlineJames W Pitman22863
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Dynamical Systems

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 03:30PM - 04:59PMInternet/OnlineFraydoun Rezakhanlou26688
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineMaciej R Zworski22864
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Advanced Topics in Probablity and Stochastic Processes

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineSteven N Evans22865
UnitsEnrollment StatusSession
3Open2021 Spring, January 19 - May 07

Metamathematics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 02:00PM - 02:59PMInternet/OnlinePierre A Simon22866
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Theory of Recursive Functions

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlineTheodore Slaman33713
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Numerical Solution of Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 09:30AM - 10:59AMInternet/OnlineJon A Wilkening22867
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Complex Manifolds

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECWeFr 02:00PM - 03:29PMInternet/OnlineSong Sun26692
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Algebraic Combinatorics

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineSylvie M Corteel26698
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Commutative Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 11:00AM - 11:59AMGenetics & Plant Bio 100Richard E. Borcherds22868
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Number Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 10:00AM - 10:59AMInternet/OnlinePaul A Vojta24630
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Algebraic Geometry

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlinePaul A Vojta22869
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Group Theory

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 05:00PM - 06:29PMInternet/OnlineEdward Frenkel31320
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Lie Groups

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWe 05:00PM - 06:29PMInternet/OnlineSemeon Artamonov26690
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Topics in Algebra

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 09:00AM - 09:59AMInternet/OnlineBernd Sturmfels26691
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Topics in Topology

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineIan Agol31355
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Topics in Analysis

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWe 09:30AM - 10:59AMInternet/OnlineAlan Hammond31358
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Topics in Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECTuTh 02:00PM - 03:29PMInternet/OnlineMaciej R Zworski27012
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Topics in Partial Differential Equations

Schedule:

SectionDays/TimesLocationInstructorClass
002 LECMoWeFr 10:00AM - 10:59AMInternet/OnlineThomas Alazard33026
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07

Teaching Workshop

Schedule:

SectionDays/TimesLocationInstructorClass
001 LECWe 05:00PM - 06:59PMInternet/OnlineRockford D Foster22871
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07