# Spring 2017

Course | Title | Days/Times | Location | Instructor | Class |
---|---|---|---|---|---|

1A 001 LEC | Calculus | MoWeFr 1:00PM - 1:59PM | Valley Life Sciences 2050 | Mark Haiman | 17915 |

1B 001 LEC | Calculus | TuTh 8:00AM - 9:29AM | Dwinelle 155 | Zvezdelina Stankova | 17929 |

1B 002 LEC | Calculus | MoWeFr 9:00AM - 9:59AM | Dwinelle 155 | Nicolai Reshetikhin | 17930 |

10B 001 LEC | Methods of Mathematics: Calculus, Statistics, and Combinatorics | TuTh 2:00PM - 3:29PM | Valley Life Sciences 2050 | Kelli Talaska | 17981 |

10B 002 LEC | Methods of Mathematics: Calculus, Statistics, and Combinatorics | MoWeFr 11:00AM - 11:59AM | Stanley 105 | Lawrence Evans | 17982 |

16A 001 LEC | Analytic Geometry and Calculus | TuTh 9:30AM - 10:59AM | Pauley Ballroom | Theodore Slaman | 18015 |

16B 001 LEC | Analytic Geometry and Calculus | MoWeFr 12:00PM - 12:59PM | Dwinelle 155 | Alexander Paulin | 18031 |

16B 002 LEC | Analytic Geometry and Calculus | MoWeFr 9:00AM - 9:59AM | Valley Life Sciences 2050 | Alexander Paulin | 18032 |

24 001 SEM | Freshman Seminars | We 10:00AM - 11:59AM | Evans 939 | Francisco Grunbaum | 18064 |

32 001 LEC | Precalculus | MoWeFr 3:00PM - 3:59PM | Evans 60 | Amelia Farid | 18066 |

32 301 DIS | Precalculus | MoTuWeThFr 2:30PM - 3:29PM | Requested General Assignment | Richard Gibson | 12121 |

53 001 LEC | Multivariable Calculus | TuTh 5:00PM - 6:29PM | Pimentel 1 | Edward Frenkel | 18078 |

53 002 LEC | Multivariable Calculus | TuTh 12:30PM - 1:59PM | Dwinelle 155 | Maciej Zworski | 18079 |

H53 001 LEC | Honors Multivariable Calculus | TuTh 8:00AM - 9:29AM | Evans 70 | Insuk Seo | 32197 |

54 001 LEC | Linear Algebra and Differential Equations | MoWe 5:00PM - 6:29PM | Dwinelle 155 | Katrin Wehrheim | 18116 |

54 002 LEC | Linear Algebra and Differential Equations | TuTh 8:00AM - 9:29AM | Pauley Ballroom | James Sethian | 18117 |

55 001 LEC | Discrete Mathematics | MoWeFr 12:00PM - 12:59PM | Stanley 105 | Vera Serganova | 18174 |

98BC 001 DIS | Berkeley Connect | Tu 6:00PM - 6:59PM | Evans 31 | Ben Wormleighton, Virginia Harrison | 18212 |

98BC 002 DIS | Berkeley Connect | We 6:00PM - 6:59PM | Evans 31 | Virginia Harrison | 18213 |

98BC 003 DIS | Berkeley Connect | Th 6:00PM - 6:59PM | Evans 31 | Antonio Montalban | 18214 |

98BC 004 DIS | Berkeley Connect | We 6:00PM - 6:59PM | Evans 35 | Antonio Montalban | 18215 |

C103 001 LEC | Introduction to Mathematical Economics | TuTh 5:00PM - 6:29PM | Kroeber 155 | Philipp Strack | 32482 |

104 001 LEC | Introduction to Analysis | TuTh 11:00AM - 12:29PM | Hearst Mining 310 | James Conway | 18217 |

104 002 LEC | Introduction to Analysis | MoWeFr 2:00PM - 2:59PM | Hearst Mining 310 | Mariusz Wodzicki | 18218 |

104 003 LEC | Introduction to Analysis | TuTh 9:30AM - 10:59AM | Hearst Mining 310 | Insuk Seo | 18219 |

104 004 LEC | Introduction to Analysis | MoWeFr 9:00AM - 9:59AM | Evans 9 | Marina Ratner | 18220 |

104 005 LEC | Introduction to Analysis | MoWeFr 12:00PM - 12:59PM | Hearst Mining 310 | Ved Datar | 18221 |

104 006 LEC | Introduction to Analysis | TuTh 12:30PM - 1:59PM | Dwinelle 182 | Michael Pejic | 34373 |

105 001 LEC | Second Course in Analysis | TuTh 11:00AM - 12:29PM | Evans 3 | Charles Pugh | 18223 |

110 001 LEC | Linear Algebra | TuTh 11:00AM - 12:29PM | Valley Life Sciences 2050 | Zvezdelina Stankova | 18224 |

113 001 LEC | Introduction to Abstract Algebra | MoWeFr 10:00AM - 10:59AM | Evans 740 | Virginia Harrison | 18239 |

113 002 LEC | Introduction to Abstract Algebra | TuTh 8:00AM - 9:29AM | Etcheverry 3109 | Khrystyna Serhiyenko | 18240 |

113 003 LEC | Introduction to Abstract Algebra | TuTh 12:30PM - 1:59PM | Etcheverry 3105 | Martin Helmer | 18241 |

113 004 LEC | Introduction to Abstract Algebra | TuTh 2:00PM - 3:29PM | Evans 3 | Andrey Smirnov | 18242 |

113 005 LEC | Introduction to Abstract Algebra | MoWeFr 1:00PM - 1:59PM | Giannini 141 | Silvain Rideau | 18243 |

113 006 LEC | Introduction to Abstract Algebra | MoWeFr 11:00AM - 11:59AM | Dwinelle 209 | Hongbin Sun | 18244 |

113 007 LEC | Introduction to Abstract Algebra | TuTh 12:30PM - 1:59PM | Dwinelle 109 | Clifton Ealy | 34450 |

H113 001 LEC | Honors Introduction to Abstract Algebra | MoWeFr 4:00PM - 4:59PM | Evans 70 | Mariusz Wodzicki | 18245 |

114 001 LEC | Second Course in Abstract Algebra | MoWeFr 12:00PM - 12:59PM | Evans 3 | Vivek Shende | 32217 |

115 001 LEC | Introduction to Number Theory | TuTh 12:30PM - 1:59PM | Hearst Mining 310 | Paul Vojta | 18246 |

118 001 LEC | Fourier Analysis, Wavelets, and Signal Processing | TuTh 2:00PM - 3:29PM | Evans 9 | Fraydoun Rezakhanlou | 18247 |

121B 001 LEC | Mathematical Tools for the Physical Sciences | MoWeFr 1:00PM - 1:59PM | Kroeber 155 | Jason Murphy | 18249 |

126 001 LEC | Introduction to Partial Differential Equations | TuTh 12:30PM - 1:59PM | Kroeber 155 | Mihaela Ifrim | 32220 |

128A 001 LEC | Numerical Analysis | TuTh 3:30PM - 4:59PM | Evans 10 | Ming Gu | 18252 |

128A 002 LEC | Numerical Analysis | MoTuWeTh 4:00PM - 4:59PM MoWe 5:00PM - 5:59PM | Hearst Mining 310 Hearst Mining 310 | Staff Staff | 12197 |

128B 001 LEC | Numerical Analysis | TuTh 9:30AM - 10:59AM | Evans 70 | Marc Rieffel | 18261 |

135 001 LEC | Introduction to the Theory of Sets | MoWeFr 1:00PM - 1:59PM | Moffitt Library 106 | Thomas Scanlon | 18263 |

136 001 LEC | Incompleteness and Undecidability | TuTh 5:00PM - 6:29PM | Hearst Mining 310 | Ludovic Patey | 32225 |

140 001 LEC | Metric Differential Geometry | TuTh 11:00AM - 12:29PM | Evans 70 | Fraydoun Rezakhanlou | 32226 |

142 001 LEC | Elementary Algebraic Topology | TuTh 2:00PM - 3:29PM | Dwinelle 182 | Khoa Nguyen | 32227 |

151 001 LEC | Mathematics of the Secondary School Curriculum I | MoWeFr 10:00AM - 10:59AM | Evans 70 | Ole Hald | 18265 |

153 001 LEC | Mathematics of the Secondary School Curriculum III | MoWeFr 11:00AM - 11:59AM | Evans 55 | Emiliano Gomez | 18267 |

160 001 LEC | History of Mathematics | TuTh 12:30PM - 1:59PM | Bechtel 240 | Dan-Virgil Voiculescu | 18269 |

170 001 LEC | Mathematical Methods for Optimization | TuTh 9:30AM - 10:59AM | Cory 241 | Bernd Sturmfels | 32228 |

172 001 LEC | Combinatorics | TuTh 11:00AM - 12:29PM | Evans 9 | Tyler Helmuth | 18271 |

185 001 LEC | Introduction to Complex Analysis | MoWeFr 8:00AM - 8:59AM | Hearst Mining 310 | Alexander Givental | 18272 |

185 002 LEC | Introduction to Complex Analysis | MoWeFr 1:00PM - 1:59PM | Evans 332 | Michael Klass | 18273 |

185 003 LEC | Introduction to Complex Analysis | TuTh 2:00PM - 3:29PM | Etcheverry 3107 | Constantin Teleman | 18274 |

185 004 LEC | Introduction to Complex Analysis | MoWeFr 11:00AM - 11:59AM | Hearst Mining 310 | John Lott | 18275 |

185 005 LEC | Introduction to Complex Analysis | TuTh 3:30PM - 4:59PM | Dwinelle 88 | Michael Pejic | 34374 |

191 001 SEM | Experimental Courses in Mathematics | TuTh 2:00PM - 3:29PM | Evans 70 | John Lott | 18277 |

198BC 001 DIS | Berkeley Connect | Tu 7:00PM - 7:59PM | Evans 31 | 18307 | |

198BC 002 DIS | Berkeley Connect | We 5:00PM - 5:59PM | Evans 31 | 18308 | |

198BC 003 DIS | Berkeley Connect | We 7:00PM - 7:59PM | Evans 31 | 18309 | |

198BC 004 DIS | Berkeley Connect | Th 7:00PM - 7:59PM | Evans 31 | 18310 | |

202B 001 LEC | Introduction to Topology and Analysis | MoWeFr 11:00AM - 11:59AM | Cory 241 | Alan Hammond | 18332 |

205 001 LEC | Theory of Functions of a Complex Variable | TuTh 9:30AM - 10:59AM | Evans 9 | Maciej Zworski | 32407 |

209 001 LEC | Von Neumann Algebras | MoWeFr 2:00PM - 2:59PM | Evans 2 | Brent Nelson | 32408 |

214 001 LEC | Differentiable Manifolds | TuTh 12:30PM - 1:59PM | Evans 3 | Ian Agol | 32409 |

215A 001 LEC | Algebraic Topology | TuTh 11:00AM - 12:29PM | Evans 740 | Peter Teichner | 32410 |

C218B 001 LEC | Probability Theory | TuTh 12:30PM - 1:59PM | Evans 330 | David Aldous | 18336 |

222B 001 LEC | Partial Differential Equations | TuTh 11:00AM - 12:29PM | Evans 2 | Daniel Tataru | 18338 |

C223B 001 LEC | Advanced Topics in Probablity and Stochastic Processes | TuTh 2:00PM - 3:29PM | Evans 344 | James Pitman | 18339 |

225B 001 LEC | Metamathematics | MoWeFr 12:00PM - 12:59PM | Evans 5 | Pierre Simon | 18340 |

228B 001 LEC | Numerical Solution of Differential Equations | TuTh 9:30AM - 10:59AM | Davis 534 | Per-Olof Persson | 18341 |

250B 001 LEC | Multilinear Algebra and Further Topics | TuTh 8:00AM - 9:29AM | Evans 3 | Richard Borcherds | 18342 |

254B 001 LEC | Number Theory | TuTh 2:00PM - 3:29PM | Evans 72 | Xinyi Yuan | 32426 |

256B 001 LEC | Algebraic Geometry | MoWeFr 10:00AM - 10:59AM | Evans 5 | Arthur Ogus | 18343 |

261A 001 LEC | Lie Groups | MoWeFr 2:00PM - 2:59PM | Evans 70 | Vera Serganova | 32437 |

270 001 LEC | Hot Topics Course in Mathematics | Tu 3:30PM - 4:59PM | Evans 5 | Peter Teichner | 18345 |

274 001 LEC | Topics in Algebra | TuTh 11:00AM - 12:29PM | Latimer 105 | David Nadler | 18349 |

275 001 LEC | Topics in Applied Mathematics | MoWeFr 3:00PM - 3:59PM | Dwinelle 105 | Nicolai Reshetikhin | 33529 |

277 001 LEC | Topics in Differential Geometry | TuTh 2:00PM - 3:29PM | Evans 5 | Richard Bamler | 18351 |

279 001 LEC | Topics in Partial Differential Equations | TuTh 9:30AM - 10:59AM | Evans 891 | Tatiana Toro | 18352 |

290 001 SEM | Seminars | Tu 3:45PM - 6:29PM | Evans 939 | David Eisenbud | 18353 |

290 002 SEM | Seminars | Mo 3:00PM - 4:59PM | Evans 736 | Dan-Virgil Voiculescu | 18354 |

290 003 SEM | Seminars | Mo 2:00PM - 2:59PM | Evans 939 | John Lott | 18355 |

290 004 SEM | Seminars | Mo 12:00PM - 12:59PM | Evans 939 | Lauren Williams | 18356 |

375 001 LEC | Teaching Workshop | Th 5:00PM - 6:59PM | Barrows 50 | Jon Wilkening, Shelly Manber | 18572 |

## Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 1:00PM - 1:59PM | Valley Life Sciences 2050 | Mark Haiman | 17915 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Three and one-half years of high school math, including trigonometry and analytic geometry, plus a satisfactory grade in one of the following: CEEB MAT test, an AP test, the UC/CSU math diagnostic test, or 32. Consult the mathematics department for details. Students with 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:** 855 Evans

**Office Hours:** MWF 2:15-3:00

**Required Text:**

**Recommended Reading:**

**Grading:** Homework, 2 Midterms Exams, Final Exam

**Homework:**

**Course Webpage:**

## Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 8:00AM - 9:29AM | Dwinelle 155 | Zvezdelina Stankova | 17929 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 1A

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 9:00AM - 9:59AM | Dwinelle 155 | Nicolai Reshetikhin | 17930 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 1A

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Valley Life Sciences 2050 | Kelli Talaska | 17981 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Continuation of 10A

**Description:** Elementary combinatorics and discrete probability theory. Introduction to graphs, matrix algebra, linear equations, difference equations, and differential equations.

**Office:** 785 Evans

**Office Hours:** Mondays 11-12pm, Wednesdays 12:30-2:30pm

**Required Text:** No textbook required. Course notes will be provided.

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:** https://math.berkeley.edu/~talaska/10B.php

## Methods of Mathematics: Calculus, Statistics, and Combinatorics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 11:00AM - 11:59AM | Stanley 105 | Lawrence Evans | 17982 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Continuation of 10A

**Description:** Elementary combinatorics and discrete probability theory. Introduction to graphs, matrix algebra, linear equations, difference equations, and differential equations.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Analytic Geometry and Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Pauley Ballroom | Theodore Slaman | 18015 |

Units | Enrollment Status |
---|---|

3 | Open |

### Additional Information:

**Prerequisites:** Three years of high school math, including trigonometry, plus a satisfactory grade in one of the following: CEEB MAT test, an AP test, the UC/CSU math diagnostic exam, or 32. 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Dwinelle 155 | Alexander Paulin | 18031 |

Units | Enrollment Status |
---|---|

3 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 9:00AM - 9:59AM | Valley Life Sciences 2050 | Alexander Paulin | 18032 |

Units | Enrollment Status |
---|---|

3 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 SEM | We 10:00AM - 11:59AM | Evans 939 | Francisco Grunbaum | 18064 |

Units | Enrollment Status |
---|---|

1 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 3:00PM - 3:59PM | Evans 60 | Amelia Farid | 18066 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Three years of high school mathematics, plus satisfactory score on one of the following: CEEB MAT test, math SAT, or UC/CSU diagnostic examination

**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:**

## Precalculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

301 DIS | MoTuWeThFr 2:30PM - 3:29PM | Requested General Assignment | Richard Gibson | 12121 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Three years of high school mathematics, plus satisfactory score on one of the following: CEEB MAT test, math SAT, or UC/CSU diagnostic examination

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 5:00PM - 6:29PM | Pimentel 1 | Edward Frenkel | 18078 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Mathematics 1B

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | TuTh 12:30PM - 1:59PM | Dwinelle 155 | Maciej Zworski | 18079 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Mathematics 1B

**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:** 801 Evans

**Office Hours:** Wed 2--4 PM

**Required Text:** J. Stewart, *Multivariable Calculus*, UCB Custom Version for Math 53, or *Calculus: Early Transcendentals*, Eigth Edition, Cengage Learning.

**Recommended Reading:**

**Grading:** Letter grade based on results of the final exam, two midterms and homework/quizzes. Final exam required.

**Homework:**

**Course Webpage:** https://math.berkeley.edu/~zworski/syllabus_53.html

## Honors Multivariable Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 8:00AM - 9:29AM | Evans 70 | Insuk Seo | 32197 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWe 5:00PM - 6:29PM | Dwinelle 155 | Katrin Wehrheim | 18116 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 1A-1B or equivalent. Note: calculus courses at most institutions either have no differential equations, or less than Berkeley's Math 1B. Students who are not familiar with **complex numbers** and **differential equations** need to learn this material (Stewart, Calculus: Early Transcendentals, 7th Edition, Chapters 9 and 17, Appendix H) before the complex eigenvalues / differential equations parts of the course. Students who did not take Multivariable Calculus (53) should get familiar with **partial derivatives** (Stewart, Multivariable Calculus for UCB, 7th Edition, Chapter 14) before the PDE part of the course.

**Description:** Basic linear algebra, matrix arithmetic and determinants, vector spaces, eigenvalues and eigenvectors, linear transformations. Linear second-order differential equations; higher-order homogeneous differential equations; linear systems of ordinary differential equations; Fourier series and partial differential equations.

**Course Webpage:** www.math.berkeley.edu/~katrin/teach/54

## Linear Algebra and Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | TuTh 8:00AM - 9:29AM | Pauley Ballroom | James Sethian | 18117 |

Units | Enrollment Status |
---|---|

4 | Closed |

### Additional Information:

**Prerequisites:** 1B

**Description:** Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product as spaces. Eigenvalues and eigenvectors; linear transformations. Homogeneous ordinary differential equations; first-order differential equations with constant coefficients. Fourier series and partial differential equations.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Discrete Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Stanley 105 | Vera Serganova | 18174 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:**

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 DIS | Tu 6:00PM - 6:59PM | Evans 31 | Ben Wormleighton, Virginia Harrison | 18212 |

Units | Enrollment Status |
---|---|

1 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 DIS | We 6:00PM - 6:59PM | Evans 31 | Virginia Harrison | 18213 |

Units | Enrollment Status |
---|---|

1 | Wait List |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 DIS | Th 6:00PM - 6:59PM | Evans 31 | Antonio Montalban | 18214 |

Units | Enrollment Status |
---|---|

1 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 DIS | We 6:00PM - 6:59PM | Evans 35 | Antonio Montalban | 18215 |

Units | Enrollment Status |
---|---|

1 | Open |

### 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 Mathematical Economics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 5:00PM - 6:29PM | Kroeber 155 | Philipp Strack | 32482 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Math 53 and 54

**Description:** Selected topics illustrating the application of mathematics to economic theory. This course is intended for upper-division students in Mathematics, Statistics, the Physical Sciences, and Engineering, and for economics majors with adequate mathematical preparation. No economic background is required.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Hearst Mining 310 | James Conway | 18217 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 53 and 54

**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 and Office Hours:** See course webpage

**Required Text:** *Elementary Analysis (Second Edition)*, by Kenneth Ross

**Course Webpage:** Click here

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 2:00PM - 2:59PM | Hearst Mining 310 | Mariusz Wodzicki | 18218 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 53 and 54

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 LEC | TuTh 9:30AM - 10:59AM | Hearst Mining 310 | Insuk Seo | 18219 |

Units | Enrollment Status |
---|---|

4 | Closed |

### Additional Information:

**Prerequisites:** 53 and 54

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 LEC | MoWeFr 9:00AM - 9:59AM | Evans 9 | Marina Ratner | 18220 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites: Calculus 1A-1B**

**Description:** The concept of metric spaces. The real line and the Eucleadean spaces. Limit points, open and closed sets. Compactness. Convergence. Cauchy sequences. Uniform convergence. Continuous functions. Uniform continuity. Infinite series and tests for convergence.The Riemann integral.

**Office Hours:** Wednesday 10-11 a.m. or by appointment.

**Required Text:** Rudin " Principles of Math Analysis"

**Recommended Reading:**

**Grading: The grade will be based 10 % on weekely homework, 25% on quizzes, 25% on a Midterm and 40% on a Final Exam. **

**Homework:**

**Course Webpage:**

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

005 LEC | MoWeFr 12:00PM - 12:59PM | Hearst Mining 310 | Ved Datar | 18221 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 53 and 54

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

006 LEC | TuTh 12:30PM - 1:59PM | Dwinelle 182 | Michael Pejic | 34373 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 53 and 54

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 3 | Charles Pugh | 18223 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Valley Life Sciences 2050 | Zvezdelina Stankova | 18224 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 10:00AM - 10:59AM | Evans 740 | Virginia Harrison | 18239 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content. Ambitious students may take this course without lower division prerequisites by permission of the professor.

**Description:** This will be an unusual version of Math 113. We shall cover the basic syllabus as seen in Herstein, including

- 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.
- Vector spaces

We will also develop basic concepts of category theory, emphasizing universal properties of various structures we encounter. Our main text will be J. Harrison's highy regarded "Universal linear algebra for students of math and physics" which will be modified to cover the syllabus of 113. This course will begin with the basics of set theory and systematically develop basic algebraic structures. It is essentially self-contained. The course will require steady hard work throughout the semester but will have a big payoff by the end for those who do the work.

**Office:** 829 Evans Hall

**Office Hours:** MWF 11-12

**Required Text:** Abstract Algebra 3rd Edition by I.N. Herstein

and Universal Linear Algebra for Students of Math and Physics by J. Harrison (a draft pdf will be provided)

**Recommended Reading:**

**Grading:** tba

**Homework:** There will be 5-10 mins devoted to weekly homework assignments at the end of each lecture.

**Course Webpage:**

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | TuTh 8:00AM - 9:29AM | Etcheverry 3109 | Khrystyna Serhiyenko | 18240 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 LEC | TuTh 12:30PM - 1:59PM | Etcheverry 3105 | Martin Helmer | 18241 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 LEC | TuTh 2:00PM - 3:29PM | Evans 3 | Andrey Smirnov | 18242 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

005 LEC | MoWeFr 1:00PM - 1:59PM | Giannini 141 | Silvain Rideau | 18243 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:** 1091

**Office Hours:** W 11:30-1:00; F 2:00-3:30.

**Required Text:** *Abstract Algebra*, Dummit and Foote.

**Grading:** 10% Homework (the lowest Homework grade does not count), 20% each Midterm, 50% Final (the final can replace one of the midterms).

**Homework:** One homework per week due on Monday.

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

006 LEC | MoWeFr 11:00AM - 11:59AM | Dwinelle 209 | Hongbin Sun | 18244 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:** 751 Evans

**Office Hours:** Monday 10:00-11:00, 4:00-5:00, Wednesday 1:00-2:00

**Required Text:** Dummit & Foote, Abstract Algebra, 3rd edition

**Recommended Reading:** Homework 20% + Midterm 1 20% + Midterm 2 20% + Final 40%.

**Grading:**

**Homework:** due weekly on Wednesday 3pm

**Course Webpage:** http://math.berkeley.edu/~hongbins/m113s17.html

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

007 LEC | TuTh 12:30PM - 1:59PM | Dwinelle 109 | Clifton Ealy | 34450 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 4:00PM - 4:59PM | Evans 70 | Mariusz Wodzicki | 18245 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 54 or a course with equivalent linear algebra content

**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:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Second Course in Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Evans 3 | Vivek Shende | 32217 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:** 873 Evans

**Office Hours:**

**Required Text:** "Abstract Algebra", by Dummit and Foote

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Introduction to Number Theory

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Hearst Mining 310 | Paul Vojta | 18246 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 53 and 54

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

**Office:** 883 Evans

**Office Hours:** TBD

**Required Text:** Niven, Zuckerman, Montgomery, *An introduction to the Theory of Numbers,* Wiley, 5th edition

**Recommended Reading:**

**Grading:** Homework 30%, midterms 15% and 20%, final exam, 35%.

**Homework:** Due weekly

**Course Webpage:** https://math.berkeley.edu/~vojta/115.html

## Fourier Analysis, Wavelets, and Signal Processing

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 9 | Fraydoun Rezakhanlou | 18247 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 53 and 54

**Description:** Introduction to signal processing including Fourier analysis and wavelets. Theory, algorithms, and applications to one-dimensional signals and multidimensional images.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Mathematical Tools for the Physical Sciences

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 1:00PM - 1:59PM | Kroeber 155 | Jason Murphy | 18249 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Introduction to Partial Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Kroeber 155 | Mihaela Ifrim | 32220 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 3:30PM - 4:59PM | Evans 10 | Ming Gu | 18252 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoTuWeTh 4:00PM - 4:59PM MoWe 5:00PM - 5:59PM | Hearst Mining 310 Hearst Mining 310 | Staff Staff | 12197 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Evans 70 | Marc Rieffel | 18261 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Math 110 and 128A or equivalent, and basic MATLAB skills.

**Description:** Iterative methods for linear systems, approximation theory, iterative solution of systems of nonlinear equations, approximation of eigenvalues and eigenvectors of matrices, applications to simple partial differential equations. Practice on the computer.

**Office:** Evans 811

**Office Hours:** Probably Tu 11-12, 1-2:15; Th 8:30-9:15

**Required Text:** Numerical Analysis, 2nd ed., Timothy Sauer, Pearson Pub., 2011

**Comment: **This is a mathematics course, and so the emphasis is on how to obtain effective methods for computation, and on analyzing when methods will, and will not, work well (in contrast to just learning algorithms and applying them).

**Grading:** There will be homework and there will be biweekly quizzes, which will each count for 10% of the course grade. There will be programming exercises and there will be one in-class midterm exam, which will each count for 20% of the course grade. There will be a final examination, which will count for 40% of the course grade.

Makeup midterm exams will not be given; instead, if you tell me ahead of time that you must miss the midterm exam, 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. There will be no early or make-up final examination.

The final examination will take place on WEDNESDAY MAY 10 11:30-2:30 PM.

The midterm exam is expected to take place on Tuesday March 7, 9:30-11 AM.

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

**Homework:** Homework will be assigned at almost every class meeting, due at the section meeting the following week. Students are encouraged to discuss the homework and programming assignments with each other, but each student must write their own solutions, reflecting their own understanding, and not copy solutions from anyone else. Even more, if students collaborate in working out solutions or computer code, or get specific help from others, they should explicitly acknowledge this help in the written work they turn in. This is general scholarly best practice. There is no penalty for acknowledging such collaboration or help.

**Course Webpage:** The link is at: math.berkeley.edu/~rieffel

## Introduction to the Theory of Sets

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 1:00PM - 1:59PM | Moffitt Library 106 | Thomas Scanlon | 18263 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 113 and 104

**Description:** Set-theoretical paradoxes and means of avoiding them. Sets, relations, functions, order and well-order. Proof by transfinite induction and definitions by transfinite recursion. Cardinal and ordinal numbers and their arithmetic. Construction of the real numbers. Axiom of choice and its consequences.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Incompleteness and Undecidability

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 5:00PM - 6:29PM | Hearst Mining 310 | Ludovic Patey | 32225 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 53, 54, and 55

**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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 70 | Fraydoun Rezakhanlou | 32226 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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 Topology

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Dwinelle 182 | Khoa Nguyen | 32227 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** 104 and 113

**Description:** The topology of one and two dimensional spaces: manifolds and triangulation, classification of surfaces, Euler characteristic, fundamental groups, plus further topics at the discretion of the instructor.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Mathematics of the Secondary School Curriculum I

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 10:00AM - 10:59AM | Evans 70 | Ole Hald | 18265 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 1A-1B, 53, or equivalent

**Description:** Math 151 is the first in the series 151-153, which when combined with the CalTeach program leads to the California Teaching Credential without needing a Master's Degree. The 151-153 sequence prepares the student to teach math in High School and grades 7-8. Throughout the sequence, we present complete proofs for the results that high school students must learn, and the proofs are chosen so they can be understood by a high school student. In the first part of Math 151 we develop the theory for fractions and Rational Numbers, and do a bit of number theory. In the second half of 151 we use a small set of axioms to create a foundation for Geometry, and end with a discussion of linear equations.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Homework (25%), no Quizzes, 2 midterms (15%, 15%), Final (45%)

**Homework:**

**Course Webpage:**

## Mathematics of the Secondary School Curriculum III

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 11:00AM - 11:59AM | Evans 55 | Emiliano Gomez | 18267 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 151, 152 or permission of the instructor

**Description:** The real line and least upper bound, limit and decimal expansion of a number, differentiation and integration, Fundamental Theorem of Calculus, length and area, characterizations of sine, cosine, exp, and log.

**Office:** 985 Evans

**Office Hours:** TBA but will be on M, W and/or F

**Required Text:** Wu's Math 153 reader - will be available at Copy Central on Bancroft Avenue.

**Recommended Reading:**

**Grading:** There will be one or two midterms, a final exam, and weekly homework.

**Homework:** Weekly, mostly from the reader.

**Course Webpage:** we will have a bCourses site.

## History of Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Bechtel 240 | Dan-Virgil Voiculescu | 18269 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 53, 54, and 113

**Description:** History of calculus from ancient times through the seventeenth century with some possible additions.

**Office:** 783 Evans

**Office Hours:**

**Required Text:** C.H. Edwards, Jr. "The historical development of the calculus" ISBN 0-387-94313-7, Springer Verlag

**Recommended Reading:**

**Grading:**

**Homework:**

**Course Webpage:**

## Mathematical Methods for Optimization

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Cory 241 | Bernd Sturmfels | 32228 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 53 and 54

**Description:** Linear programming and a selection of topics from among the following: matrix games, integer programming, semidefinite programming, nonlinear programming, convex analysis and geometry, polyhedral geometry, the calculus of variations, and control theory.

**Office:** 925 Evans

**Office Hours:** Mondays 3-4:30pm; alternatively: before or after the lecture.

**Required Text:** Introduction to Linear Optimization by Dimitris Bertsimas and John N. Tsitsiklis, Athena Scientific 1997.

**Recommended Reading:**

**Grading:** **Homework 35%, Midterm 30%, Term Paper 35%**.

**Homework:**

**Course Webpage:** https://math.berkeley.edu/~bernd/math170.html

## Combinatorics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 9 | Tyler Helmuth | 18271 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 8:00AM - 8:59AM | Hearst Mining 310 | Alexander Givental | 18272 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Prerequisites:** Math 104. One might expect that 185 is developed in parallel to its real counterpart 104. In fact this expectation is false, and funderstanding "why" is one of the major goals of this course. So, taking the two courses concurrently is a bad idea.

**Required Text:** "Complex Function Theory" (http://www.ams.org/books/mbk/049/mbk049-endmatter.pdf ) by our own Prof. D. Sarason. It is based on the course taught at UC Berkeley, is only 160 pages long, and is ideally suitable for our aims.

**Description:** We will closely follow the text (see below) from the very definition of complex numbers, via a proof of the Fundamental Theorem of Algebra, to that of the Riemann Mapping Theorem (which identifies every proper simply-connected subset of the complex plane with the unit disk by means of continuous angle-preserving transformations).

**Office:** 701 Evans

**Office Hours:** to be decided

**Grading:** based on weekly homework (30%), weekly 5-minute quizzes(30%), and the final exam (40%)

**Homework:** from the 2nd edition of the textbook.

**Course Webpage:** https://math.berkeley.edu/~giventh/18517.html (to be created by the beginning of the semester)

## Introduction to Complex Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 1:00PM - 1:59PM | Evans 332 | Michael Klass | 18273 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 LEC | TuTh 2:00PM - 3:29PM | Etcheverry 3107 | Constantin Teleman | 18274 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:** Evans 905

**Office Hours:** TBA

**Required Text:** Sarason, Complex Function Theory. Spiegel et.al., Schaum's Outline of Complex Variables, 2nd ed.

**Recommended Reading:** Needham, Visual Complex Analysis

**Grading:** Homework 25%, Exams 75% (in-class tests and a final exam)

**Homework:** Weekly assignments

**Course Webpage:** Math 185 Home

## Introduction to Complex Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 LEC | MoWeFr 11:00AM - 11:59AM | Hearst Mining 310 | John Lott | 18275 |

Units | Enrollment Status |
---|---|

4 | Closed |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

005 LEC | TuTh 3:30PM - 4:59PM | Dwinelle 88 | Michael Pejic | 34374 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:**

## Experimental Courses in Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 SEM | TuTh 2:00PM - 3:29PM | Evans 70 | John Lott | 18277 |

Units | Enrollment Status |
---|---|

1-4 | Wait List |

### Additional Information:

**Prerequisites:** Ability to write proofs and willingness to work on open-ended problems a must. Math 55, 110 and or 113 strongly preferred.

**Description:** In class we will develop some of the classical and modern methods in combinatorial topology. Possible topics covered in this class include planar graphs, colorability, Kuratowski's theorem, simplicial complexes, combinatorial fixed point theorems, homology, knot theory, braid groups, knot polynomials, fundamental groups, and additional topics based on student's input. Projects include applications in algebraic combinatorics, algebraic topology, computational topology, differential geometry, and knot theory.
Students will apply their knowledge from class to learn advanced methods independently in the form of open ended projects. Each student will have considerable latitude in finding problems that fit his or her interest. Students will work in small groups on these projects, with the majority of this work completed outside of class.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** One short and one long project. Weekly progress reports, an in-class presentation, and a final write-up using LaTeX will be required for each project. Exercises will occasionally be assigned.

**Homework:**

**Course Webpage:** http://math.berkeley.edu/~jhicks/classes/spring17math191/courseindex.html

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 DIS | Tu 7:00PM - 7:59PM | Evans 31 | 18307 |

Units | Enrollment Status |
---|---|

1 | Wait List |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 DIS | We 5:00PM - 5:59PM | Evans 31 | 18308 |

Units | Enrollment Status |
---|---|

1 | Wait List |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 DIS | We 7:00PM - 7:59PM | Evans 31 | 18309 |

Units | Enrollment Status |
---|---|

1 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 DIS | Th 7:00PM - 7:59PM | Evans 31 | 18310 |

Units | Enrollment Status |
---|---|

1 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 11:00AM - 11:59AM | Cory 241 | Alan Hammond | 18332 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Evans 9 | Maciej Zworski | 32407 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 185

**Description:** A review of complex analysis: Cauchy's formula, entire functions, normal families, Riemann mapping theorem, quasiconformal mappings. Complex dynamics: fixed points and conjugations, Julia sets, critical points and expanding maps + additional topics.

**Office:** 801

**Office Hours:** W 1-2 PM or by appointment

**Required Text:** Carleson and Gamelin "Complex dynamics" (available on-line http://link.springer.com/book/10.1007%2F978-1-4612-4364-9 )

**Recommended Reading:** Ahlfors "Complex Analysis"

**Grading:** Letter grade.

**Homework:** Weekly homework

**Course Webpage: https://math.berkeley.edu/~zworski/205**

## Von Neumann Algebras

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 2:00PM - 2:59PM | Evans 2 | Brent Nelson | 32408 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 206

**Description:** Basic theory of von Neumann algebras. Density theorems, topologies and normal maps, traces, comparison of projections, type classification, examples of factors. Additional topics, for example, Tomita Takasaki theory, subfactors, group actions, and noncommutative probability.

**Office:** Evans 851

**Office Hours:** TBD

**Required Text:** None.

**Recommended Reading:** A Course in Operator Theory by John Conway, Theory of Operator Algebras, I by Masamichi Takesaki, and Notes on von Neumann Algebras by Vaughan F.R. Jones.

**Grading:** Letter grade.

**Homework:** In class presentation.

**Course Webpage:** Forthcoming.

## Differentiable Manifolds

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Evans 3 | Ian Agol | 32409 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 740 | Peter Teichner | 32410 |

Units | Enrollment Status |
---|---|

4 | Wait List |

### Additional Information:

**Class has been moved to 740 Evans.**

**Prerequisites:** 113 and point-set topology (e.g. 202A)

**Description: **We’ll first introduce interesting spaces, like manifolds (including knot and link complements) and CW-complexes. Then we’ll discuss the first tools to study qualitatives features of these spaces, namely fundamental group, higher homotopy and homology groups. We’ll end with proving some important consequences, e.g. invariance of dimension, the generalized Jordan curve theorem and the Lefschetz fixed point theorem. Throughout the class, we'll get sidetracked by interesting topics like cobordism groups, fibre bundles, de Rham cohomology, (higher) categories etc.

**Office:** 703 Evans

**Office Hours:** Tu. 2:30 - 3:30 and by appointment

**Required Text:** Glen Bredon, Topology and Geometry

**Recommended Reading:** Allen Hatcher, Algebraic Topology

**Grading:** Letter grade depending on success in homework.

**Homework:** Weekly homework sessions, homework will be submitted in writing in groups of 2-3 students.

**Course Webpage:** http://people.mpim-bonn.mpg.de/teichner/Math/AlgTop.html

## Probability Theory

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Evans 330 | David Aldous | 18336 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Description:** The course is designed as a sequence 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.

**See course web page for complete information about this course.**

**Course Webpage:** http://www.stat.berkeley.edu/~aldous/205B/index.html

## Partial Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 2 | Daniel Tataru | 18338 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 105 or 202A

**Description:** The theory of boundary value and initial value problems for partial differential equations, with emphasis on nonlinear equations. Second-order elliptic equations, parabolic and hyperbolic equations, calculus of variations methods, additional topics selected by instructor.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Advanced Topics in Probablity and Stochastic Processes

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 344 | James Pitman | 18339 |

Units | Enrollment Status |
---|---|

3 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Evans 5 | Pierre Simon | 18340 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 125B and 135

**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:**

## Numerical Solution of Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Davis 534 | Per-Olof Persson | 18341 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 128A/228A and programming skills, or permission from instructor.

**Description:** Theory and practical methods for numerical solution of partial differential equations. Finite volume methods for hyperbolic conservation laws, finite element methods for elliptic and parabolic equations, discontinuous Galerkin methods for first and second order systems of conservation laws. Other topics include efficient implementation, numerical linear algebra solvers such as the multigrid method, structured and unstructured mesh generation, and applications of the techniques to a range of equations.

**Office:** 1089 Evans.

**Office Hours:** TBD in 1089 Evans.

**Required Text:**

**Recommended Reading:**R. J. LeVeque,

*Finite Volume Methods for Hyperbolic Problems*, Cambridge, 2002. ISBN 978-0521009249.

C. Johnson,

*Numerical Solution of Partial Differential Equations by the Finite Element Method*, Dover, 2009. ISBN 978-0486469003.

**Grading:** Letter grade.

**Homework:** 7 extensive problem sets.

**Course Webpage:** https://bcourses.berkeley.edu/courses/1456616

## Multilinear Algebra and Further Topics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 8:00AM - 9:29AM | Evans 3 | Richard Borcherds | 18342 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 250A

**Description:** This is normally given as a course on commutative algebra, rather than multiplinear algebra.

**Office:** 927 Evans Hall

**Office Hours:** Tu Th 9:30-11:00

**Required Text:** Commutative algebra by David Eisenbud

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:** See https://bcourses.berkeley.edu/courses/1456390

**Course Webpage:** https://bcourses.berkeley.edu/courses/1456390

## Number Theory

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 72 | Xinyi Yuan | 32426 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** 254A

**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:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:** https://math.berkeley.edu/~yxy/math254b

## Algebraic Geometry

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 10:00AM - 10:59AM | Evans 5 | Arthur Ogus | 18343 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Lie Groups

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 2:00PM - 2:59PM | Evans 70 | Vera Serganova | 32437 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:**

## Hot Topics Course in Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | Tu 3:30PM - 4:59PM | Evans 5 | Peter Teichner | 18345 |

Units | Enrollment Status |
---|---|

2 | Open |

### Additional Information:

**Prerequisites: **Basic analysis, geometry, topology and algebra.

**Description: **Participants will give lectures on the theory of - and examples for - physically relevant factorization algebras.

**Office: **703 Evans

**Office Hours:** Tu. 2:30 - 3:30

**Required Text: **Kevin Costello and Owen Gwilliam, "Factorization Algebras in Quantum Field Theory”

**Recommended Reading: **Kevin Costello, “Renormalisation and the Batalin-Vilkovisky formalism”

David Ayala and John Francis, “Factorization homology of topological manifolds”

**Grading:** Offered for satisfactory/unsatisfactory grade only.

**Homework:** Prepare one or two lectures throughout the semester.

**Course Webpage:** http://people.mpim-bonn.mpg.de/teichner/Math/Hot-Topic.html

## Topics in Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Latimer 105 | David Nadler | 18349 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Consent of instructor

**Description: **This course will be an introduction to the algebraic geometry and topology of Lie groups. A primary goal will be to explain the construction of the Langlands dual group via the Geometric Satake correspondence. Some of the many ingredients we will cover include finite-dimensional representations, Schubert geometry of flag varieties, and perverse sheaves.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Topics in Applied Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 3:00PM - 3:59PM | Dwinelle 105 | Nicolai Reshetikhin | 33529 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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 Differential Geometry

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 5 | Richard Bamler | 18351 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Consent of instructor

**Description:** Geometric and analytic aspects of Ricci curvature

**Possible Topics:**

- Bishop-Gromove Volume Comparison and applications,
- Cheeger-Gromoll Splitting,
- Geometric convergence under curvature and injectivity radius bounds,
- diffeomorphism finiteness,
- convergence theory of Einstein metrics,
- Cheeger’s Diffeomorphism Stability Theorem,
- analytic estimates on spaces with lower Ricci curvature bounds (heat kernel bounds, gradient estimates for harmonic functions),
- Perelman’s Topological Stability Theorem,
- Colding’s Volume Convergence Theorem,
- Cheeger-Colding’s Cone Rigidity Theorem,
- structure theory of geometric limits of spaces with lower Ricci curvature bounds

**Office:** Evans 705

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Topics in Partial Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Evans 891 | Tatiana Toro | 18352 |

Units | Enrollment Status |
---|---|

4 | Open |

### Additional Information:

**Prerequisites:** Consent of instructor

**Description:**In this course we will discuss the relationship between the boundary
regularity of the solutions to elliptic second order divergence form partial
differential equations and the geometry of the boundary. While in the smooth
setting this question uses tools from classical PDEs, in the non-smooth setting
tools from harmonic analysis are needed to tackle the problem.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 SEM | Tu 3:45PM - 6:29PM | Evans 939 | David Eisenbud | 18353 |

Units | Enrollment Status |
---|---|

1-6 | Open |

### Additional Information:

**Prerequisites:**

**Description:** Topics in foundations of mathematics, theory of numbers, numerical calculations, analysis, geometry, topology, algebra, and their applications, by means of lectures and informal conferences; work based largely on original memoirs.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 SEM | Mo 3:00PM - 4:59PM | Evans 736 | Dan-Virgil Voiculescu | 18354 |

Units | Enrollment Status |
---|---|

1-6 | Open |

### Additional Information:

**Prerequisites:**

**Description:** Topics in foundations of mathematics, theory of numbers, numerical calculations, analysis, geometry, topology, algebra, and their applications, by means of lectures and informal conferences; work based largely on original memoirs.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 SEM | Mo 2:00PM - 2:59PM | Evans 939 | John Lott | 18355 |

Units | Enrollment Status |
---|---|

1-6 | Open |

### Additional Information:

**Prerequisites:**

**Description:** Topics in foundations of mathematics, theory of numbers, numerical calculations, analysis, geometry, topology, algebra, and their applications, by means of lectures and informal conferences; work based largely on original memoirs.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 SEM | Mo 12:00PM - 12:59PM | Evans 939 | Lauren Williams | 18356 |

Units | Enrollment Status |
---|---|

1-6 | Open |

### Additional Information:

**Prerequisites:**

**Description:** Topics in foundations of mathematics, theory of numbers, numerical calculations, analysis, geometry, topology, algebra, and their applications, by means of lectures and informal conferences; work based largely on original memoirs.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** Letter grade.

**Homework:**

**Course Webpage:**

## Teaching Workshop

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | Th 5:00PM - 6:59PM | Barrows 50 | Jon Wilkening, Shelly Manber | 18572 |

Units | Enrollment Status |
---|---|

4 | Open |

### 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:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 1:00PM - 1:59PM | Valley Life Sciences 2050 | Mark Haiman | 17915 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | TuTh 8:00AM - 9:29AM | Evans 6 | Nicolas Brody | 17916 |

102 DIS | TuTh 8:00AM - 9:29AM | Evans 71 | Yanhe Huang | 17917 |

103 DIS | TuTh 9:30AM - 10:59AM | Evans 5 | Nicolas Brody | 17918 |

104 DIS | TuTh 9:30AM - 10:59AM | Evans 4 | Katherine Christianson | 17919 |

105 DIS | TuTh 11:00AM - 12:29PM | Latimer 121 | Katherine Christianson | 17920 |

106 DIS | TuTh 11:00AM - 12:29PM | Evans 85 | Isabelle Shankar | 17921 |

107 DIS | TuTh 12:30PM - 1:59PM | Evans 87 | Yanhe Huang | 17922 |

108 DIS | TuTh 12:30PM - 1:59PM | Evans 85 | Isabelle Shankar | 17923 |

109 DIS | TuTh 2:00PM - 3:29PM | Evans 6 | Donghyun Kim | 17924 |

110 DIS | TuTh 2:00PM - 3:29PM | Sutardja Dai 254 | Felix Gotti | 17925 |

111 DIS | TuTh 3:30PM - 4:59PM | Evans 85 | Felix Gotti | 17926 |

112 DIS | TuTh 3:30PM - 4:59PM | Evans 87 | Donghyun Kim | 17927 |

## Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 8:00AM - 9:29AM | Dwinelle 155 | Zvezdelina Stankova | 17929 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | MoWeFr 8:00AM - 8:59AM | Evans 71 | 17932 | |

102 DIS | MoWeFr 8:00AM - 8:59AM | Evans 75 | Paula Burkhardt | 17933 |

103 DIS | MoWeFr 9:00AM - 9:59AM | Evans 5 | Liyu Xia | 17934 |

104 DIS | MoWeFr 9:00AM - 9:59AM | Evans 75 | Paula Burkhardt | 17935 |

105 DIS | MoWeFr 10:00AM - 10:59AM | Latimer 121 | Jian Wang | 17936 |

106 DIS | MoWeFr 10:00AM - 10:59AM | Evans 87 | Liyu Xia | 17937 |

107 DIS | MoWeFr 11:00AM - 11:59AM | Evans 5 | Jian Wang | 17938 |

108 DIS | MoWeFr 11:00AM - 11:59AM | Evans 6 | Jiefu Zhang | 17939 |

109 DIS | MoWeFr 12:00PM - 12:59PM | Evans 2 | Jiefu Zhang | 17940 |

110 DIS | MoWeFr 12:00PM - 12:59PM | Evans 81 | 17941 | |

111 DIS | MoWeFr 1:00PM - 1:59PM | Evans 4 | Hong Suh | 17942 |

112 DIS | MoWeFr 1:00PM - 1:59PM | Evans 2 | Nicholas Bhattacharya | 17943 |

113 DIS | MoWeFr 2:00PM - 2:59PM | Evans 6 | Hong Suh | 17944 |

114 DIS | MoWeFr 2:00PM - 2:59PM | Evans 71 | Nicholas Bhattacharya | 17945 |

115 DIS | MoWeFr 3:00PM - 3:59PM | Evans 6 | Madeline Brandt | 17946 |

116 DIS | MoWeFr 3:00PM - 3:59PM | Latimer 105 | Bo Li | 17947 |

117 DIS | MoWeFr 4:00PM - 4:59PM | Evans 6 | Bo Li | 17948 |

118 DIS | MoWeFr 4:00PM - 4:59PM | Evans 71 | Madeline Brandt | 32497 |

## Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 9:00AM - 9:59AM | Dwinelle 155 | Nicolai Reshetikhin | 17930 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

201 DIS | MoWeFr 8:00AM - 8:59AM | Evans 2 | Dong An | 17951 |

202 DIS | MoWeFr 8:00AM - 8:59AM | Evans 4 | Melissa Sherman-Bennett | 17952 |

203 DIS | MoWeFr 8:00AM - 8:59AM | Evans 6 | Meredith Shea | 17953 |

207 DIS | MoWeFr 11:00AM - 11:59AM | Hildebrand B56 | Meredith Shea | 17957 |

208 DIS | MoWeFr 12:00PM - 12:59PM | Hildebrand B56 | James Moody | 17958 |

209 DIS | MoWeFr 1:00PM - 1:59PM | Hildebrand B56 | Melissa Sherman-Bennett | 17959 |

210 DIS | MoWeFr 11:00AM - 11:59AM | Evans 71 | Anningzhe Gao | 17960 |

211 DIS | MoWeFr 11:00AM - 11:59AM | Evans 75 | Dong An | 17961 |

212 DIS | MoWeFr 1:00PM - 1:59PM | Evans 6 | James Moody | 17962 |

213 DIS | MoWeFr 1:00PM - 1:59PM | Evans 71 | Izaak Meckler | 17963 |

214 DIS | MoWeFr 1:00PM - 1:59PM | Evans 75 | Anningzhe Gao | 17964 |

215 DIS | MoWeFr 2:00PM - 2:59PM | Evans 75 | Steven Karp | 17965 |

216 DIS | MoWeFr 2:00PM - 2:59PM | Evans 81 | Luhang Lai | 17966 |

217 DIS | MoWeFr 3:00PM - 3:59PM | Evans 71 | Izaak Meckler | 32539 |

218 DIS | MoWeFr 3:00PM - 3:59PM | Evans 75 | Steven Karp | 32542 |

219 DIS | MoWeFr 4:00PM - 4:59PM | Evans 75 | Xinyu Zhao | 32543 |

220 DIS | MoWeFr 4:00PM - 4:59PM | Evans 81 | Luhang Lai | 32545 |

221 DIS | MoWeFr 5:00PM - 5:59PM | Evans 4 | Xinyu Zhao | 32546 |

## Methods of Mathematics: Calculus, Statistics, and Combinatorics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Valley Life Sciences 2050 | Kelli Talaska | 17981 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | MoWeFr 8:00AM - 8:59AM | Evans 70 | Patrick Lutz | 17983 |

102 DIS | MoWeFr 8:00AM - 8:59AM | Evans 81 | James Robertson | 17984 |

103 DIS | MoWeFr 9:00AM - 9:59AM | Evans 3 | Patrick Lutz | 17985 |

104 DIS | MoWeFr 9:00AM - 9:59AM | Hearst Mining 310 | James Robertson | 17986 |

105 DIS | MoWeFr 9:00AM - 9:59AM | Hildebrand B51 | Watson Ladd | 17987 |

106 DIS | MoWeFr 11:00AM - 11:59AM | Latimer 105 | Zixin Jiang | 17988 |

107 DIS | MoWeFr 12:00PM - 12:59PM | Sutardja Dai 254 | Zixin Jiang | 17989 |

108 DIS | MoWeFr 3:00PM - 3:59PM | Barrows 110 | Michael Klug | 17990 |

109 DIS | MoWeFr 2:00PM - 2:59PM | Evans 3 | Michael Klug | 17991 |

110 DIS | MoWeFr 3:00PM - 3:59PM | Evans 3 | Watson Ladd | 17992 |

111 DIS | MoWeFr 3:00PM - 3:59PM | Cory 285 | Bo Lin | 17993 |

112 DIS | MoWeFr 4:00PM - 4:59PM | Evans 4 | Bo Lin | 17994 |

113 DIS | MoWeFr 4:00PM - 4:59PM | Evans 2 | Theodore Zhu | 32731 |

114 DIS | MoWeFr 5:00PM - 5:59PM | Evans 2 | Theodore Zhu | 32732 |

## Methods of Mathematics: Calculus, Statistics, and Combinatorics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 11:00AM - 11:59AM | Stanley 105 | Lawrence Evans | 17982 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

201 DIS | TuTh 8:00AM - 9:29AM | Evans 81 | Milind Hegde | 17999 |

202 DIS | TuTh 8:00AM - 9:29AM | Evans 75 | Miquel Crusells Girona | 18000 |

203 DIS | TuTh 9:30AM - 10:59AM | Evans 75 | Miquel Crusells Girona | 18001 |

204 DIS | TuTh 11:00AM - 12:29PM | Dwinelle 182 | Noble Macfarlane | 18002 |

205 DIS | TuTh 12:30PM - 1:59PM | Evans 9 | Anna Seigal | 18003 |

206 DIS | TuTh 12:30PM - 1:59PM | Latimer 105 | Noble Macfarlane | 18004 |

207 DIS | TuTh 2:00PM - 3:29PM | Dwinelle 255 | Gus Schrader | 18005 |

208 DIS | TuTh 2:00PM - 3:29PM | Evans 87 | Katrina Biele | 18006 |

209 DIS | TuTh 3:30PM - 4:59PM | Evans 71 | Katrina Biele | 18007 |

210 DIS | TuTh 5:00PM - 6:29PM | Evans 6 | Gus Schrader | 18008 |

211 DIS | TuTh 11:00AM - 12:29PM | Latimer 122 | Milind Hegde | 32744 |

## Analytic Geometry and Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Pauley Ballroom | Theodore Slaman | 18015 |

Units | Enrollment Status |
---|---|

3 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | Tu 8:00AM - 9:29AM | Evans 4 | Shenghan Zhang | 18016 |

102 DIS | Tu 8:00AM - 9:29AM | Evans 2 | Qiao Zhou | 18017 |

103 DIS | Tu 11:00AM - 12:29PM | Bechtel 240 | Kun Chen | 18018 |

104 DIS | Tu 11:00AM - 12:29PM | Evans 87 | Cristian-dan Gavrus | 18019 |

105 DIS | Tu 8:00AM - 9:29AM | Dwinelle 234 | Maria Guadalupe Martinez | 18020 |

106 DIS | Tu 3:30PM - 4:59PM | Valley Life Sciences 2066 | Maria Guadalupe Martinez | 18021 |

107 DIS | Tu 2:00PM - 3:29PM | Evans 85 | Qiao Zhou | 18022 |

108 DIS | Tu 2:00PM - 3:29PM | Evans 81 | Maria Guadalupe Martinez | 18023 |

109 DIS | Tu 3:30PM - 4:59PM | Evans 6 | Qiao Zhou | 18024 |

110 DIS | Tu 3:30PM - 4:59PM | Evans 4 | Shenghan Zhang | 18025 |

111 DIS | Tu 5:00PM - 6:29PM | Evans 71 | Kun Chen | 18026 |

112 DIS | Tu 5:00PM - 6:29PM | Evans 4 | Shenghan Zhang | 18027 |

113 DIS | Tu 5:00PM - 6:29PM | Evans 2 | Cristian-dan Gavrus | 18028 |

114 DIS | Tu 12:30PM - 1:59PM | Evans 736 | Kun Chen | 34179 |

115 DIS | Tu 2:00PM - 3:29PM | Evans 736 | Cristian-dan Gavrus | 34180 |

## Analytic Geometry and Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Dwinelle 155 | Alexander Paulin | 18031 |

Units | Enrollment Status |
---|---|

3 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | Th 8:00AM - 9:29AM | Evans 2 | Zhewei Yao | 18033 |

102 DIS | Th 8:00AM - 9:29AM | Evans 4 | Moor Xu | 18034 |

103 DIS | Th 9:30AM - 10:59AM | Evans 71 | Moor Xu | 18035 |

104 DIS | Th 9:30AM - 10:59AM | Evans 6 | Dylan Yott | 18036 |

105 DIS | Th 9:30AM - 10:59AM | Evans 2 | Mariana Vicaria Angel | 18037 |

106 DIS | Th 11:00AM - 12:29PM | Evans 87 | Moor Xu | 18038 |

107 DIS | Th 11:00AM - 12:29PM | Evans 81 | Dylan Yott | 18039 |

108 DIS | Th 12:30PM - 1:59PM | Cory 285 | Ritvik Ramkumar | 18040 |

109 DIS | Th 12:30PM - 1:59PM | Evans 81 | Mariana Vicaria Angel | 18041 |

110 DIS | Th 2:00PM - 3:29PM | Evans 75 | Zhewei Yao | 18042 |

111 DIS | Th 2:00PM - 3:29PM | Evans 71 | Dylan Yott | 18043 |

112 DIS | Th 3:30PM - 4:59PM | Evans 4 | Zhewei Yao | 18044 |

113 DIS | Th 3:30PM - 4:59PM | Evans 6 | Ritvik Ramkumar | 18045 |

114 DIS | Th 5:00PM - 6:29PM | Evans 2 | Mariana Vicaria Angel | 18046 |

115 DIS | Th 5:00PM - 6:29PM | Evans 4 | Ritvik Ramkumar | 18047 |

116 DIS | Th 3:30PM - 4:59PM | Evans 736 | Derek Hollowood | 34552 |

117 DIS | Th 5:00PM - 6:29PM | Evans 736 | Derek Hollowood | 34553 |

## Analytic Geometry and Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 9:00AM - 9:59AM | Valley Life Sciences 2050 | Alexander Paulin | 18032 |

Units | Enrollment Status |
---|---|

3 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

201 DIS | Tu 8:00AM - 9:29AM | Evans 85 | Yi Lai | 18048 |

202 DIS | Tu 8:00AM - 9:29AM | Evans 87 | Benson Au | 18049 |

203 DIS | Tu 9:30AM - 10:59AM | Evans 71 | Yi Lai | 18050 |

204 DIS | Tu 9:30AM - 10:59AM | Evans 6 | Derek Hollowood | 18051 |

205 DIS | Tu 9:30AM - 10:59AM | Evans 2 | Benson Au | 18052 |

206 DIS | Tu 11:00AM - 12:29PM | LeConte 385 | Grace Liu | 18053 |

207 DIS | Tu 11:00AM - 12:29PM | Evans 81 | Benson Au | 18054 |

208 DIS | Tu 12:30PM - 1:59PM | Cory 285 | Sierra Reyburn | 18055 |

209 DIS | Tu 12:30PM - 1:59PM | Evans 81 | Grace Liu | 18056 |

210 DIS | Tu 2:00PM - 3:29PM | Evans 75 | Zixi Hu | 18057 |

211 DIS | Tu 2:00PM - 3:29PM | Evans 71 | Sierra Reyburn | 18058 |

212 DIS | Tu 3:30PM - 4:59PM | Evans 75 | Yi Lai | 18059 |

213 DIS | Tu 3:30PM - 4:59PM | Evans 81 | Zixi Hu | 18060 |

214 DIS | Tu 5:00PM - 6:29PM | Evans 75 | Grace Liu | 18061 |

215 DIS | Tu 5:00PM - 6:29PM | Evans 81 | Zixi Hu | 18062 |

## Freshman Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 SEM | We 10:00AM - 11:59AM | Evans 939 | Francisco Grunbaum | 18064 |

Units | Enrollment Status |
---|---|

1 | Open |

## Precalculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 3:00PM - 3:59PM | Evans 60 | Amelia Farid | 18066 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | MoWe 10:00AM - 10:59AM | Evans 41 | Christopher Gerig | 18067 |

102 DIS | MoWe 9:00AM - 9:59AM | Evans 736 | Christopher Gerig | 18068 |

103 DIS | MoWe 5:00PM - 5:59PM | Barrows 118 | Archit Kulkarni | 18069 |

104 DIS | MoWe 11:00AM - 11:59AM | Haviland 321 | Archit Kulkarni | 18070 |

## Precalculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

301 DIS | MoTuWeThFr 2:30PM - 3:29PM | Requested General Assignment | Richard Gibson | 12121 |

Units | Enrollment Status |
---|---|

4 | Open |

## Multivariable Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 5:00PM - 6:29PM | Pimentel 1 | Edward Frenkel | 18078 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | MoWeFr 8:00AM - 8:59AM | Evans 87 | Bryan Gillespie | 18080 |

102 DIS | MoWeFr 8:00AM - 8:59AM | Latimer 105 | Kai-chieh Chen | 18081 |

103 DIS | MoWeFr 9:00AM - 9:59AM | Evans 81 | David Keating | 18082 |

104 DIS | MoWeFr 9:00AM - 9:59AM | Evans 85 | Bryan Gillespie | 18083 |

105 DIS | MoWeFr 9:00AM - 9:59AM | LeConte 385 | Kai-chieh Chen | 18084 |

106 DIS | MoWeFr 10:00AM - 10:59AM | Evans 85 | Michael Yeh | 18085 |

107 DIS | MoWeFr 11:00AM - 11:59AM | Evans 81 | Dan Daniel Erdmann-Pham | 18086 |

108 DIS | MoWeFr 11:00AM - 11:59AM | Evans 85 | Michael Yeh | 18087 |

109 DIS | MoWeFr 12:00PM - 12:59PM | Evans 85 | Kyeong Sik Nam | 18088 |

110 DIS | MoWeFr 12:00PM - 12:59PM | Evans 87 | Dongxiao Yu | 18089 |

111 DIS | MoWeFr 1:00PM - 1:59PM | Evans 81 | Dongxiao Yu | 18090 |

112 DIS | MoWeFr 1:00PM - 1:59PM | Evans 85 | Kyeong Sik Nam | 18091 |

113 DIS | MoWeFr 2:00PM - 2:59PM | Evans 85 | Matthew Harrison-trainor | 18092 |

114 DIS | MoWeFr 2:00PM - 2:59PM | Evans 87 | Dan Daniel Erdmann-Pham | 18093 |

115 DIS | MoWeFr 3:00PM - 3:59PM | Evans 81 | Matthew Harrison-trainor | 18094 |

116 DIS | MoWeFr 4:00PM - 4:59PM | Evans 85 | Mengyuan Zhang | 18095 |

117 DIS | MoWeFr 12:00PM - 12:59PM | Dwinelle 235 | David Keating | 18096 |

118 DIS | MoWeFr 5:00PM - 5:59PM | Evans 71 | Mengyuan Zhang | 18097 |

## Multivariable Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | TuTh 12:30PM - 1:59PM | Dwinelle 155 | Maciej Zworski | 18079 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

201 DIS | MoWeFr 8:00AM - 8:59AM | Barker 110 | Christopher Kuo | 18098 |

202 DIS | MoWeFr 8:00AM - 8:59AM | Sutardja Dai 254 | Rahul Dalal | 18099 |

203 DIS | MoWeFr 9:00AM - 9:59AM | Evans 87 | Rahul Dalal | 18100 |

204 DIS | MoWeFr 9:00AM - 9:59AM | Barker 110 | Christopher Kuo | 18101 |

205 DIS | MoWeFr 12:00PM - 12:59PM | Hildebrand B51 | Mohandas Pillai | 18102 |

206 DIS | MoWeFr 10:00AM - 10:59AM | Barrows 110 | Mohandas Pillai | 18103 |

207 DIS | MoWeFr 11:00AM - 11:59AM | Evans 87 | Kubrat Danailov | 18104 |

208 DIS | MoWeFr 11:00AM - 11:59AM | Hildebrand B51 | Joseph Stahl | 18105 |

209 DIS | MoWeFr 12:00PM - 12:59PM | Latimer 105 | Joseph Stahl | 18106 |

210 DIS | MoWeFr 12:00PM - 12:59PM | Evans 9 | Kubrat Danailov | 18107 |

211 DIS | MoWeFr 1:00PM - 1:59PM | Evans 87 | Jeffmin Lin | 18108 |

212 DIS | MoWeFr 1:00PM - 1:59PM | Sutardja Dai 254 | Maxim Wimberley | 18109 |

213 DIS | MoWeFr 2:00PM - 2:59PM | Evans 9 | Jeffmin Lin | 18110 |

214 DIS | MoWeFr 3:00PM - 3:59PM | Evans 85 | Maxim Wimberley | 18111 |

215 DIS | MoWeFr 4:00PM - 4:59PM | Evans 87 | Calvin Mcphail-Snyder | 18112 |

216 DIS | MoWeFr 5:00PM - 5:59PM | Evans 75 | Calvin Mcphail-Snyder | 18113 |

217 DIS | MoWeFr 5:00PM - 5:59PM | Evans 81 | Mohaddeseh Peyro | 18114 |

218 DIS | MoWeFr 2:00PM - 2:59PM | Kroeber 115 | Mohaddeseh Peyro | 34095 |

## Honors Multivariable Calculus

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 8:00AM - 9:29AM | Evans 70 | Insuk Seo | 32197 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | MoWeFr 8:00AM - 8:59AM | Dwinelle 234 | Jonathan Gleason | 32200 |

## Linear Algebra and Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWe 5:00PM - 6:29PM | Dwinelle 155 | Katrin Wehrheim | 18116 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | MoWeFr 8:00AM - 8:59AM | Dwinelle 105 | German Stefanich | 18119 |

102 DIS | MoWeFr 8:00AM - 8:59AM | Dwinelle 205 | Ritwik Ghosh | 18120 |

103 DIS | MoWeFr 9:00AM - 9:59AM | Latimer 121 | Ritwik Ghosh | 18121 |

104 DIS | MoWeFr 9:00AM - 9:59AM | Sutardja Dai 254 | Christopher Eur | 18122 |

105 DIS | MoWeFr 10:00AM - 10:59AM | Latimer 122 | Benjamin Castle | 18123 |

106 DIS | MoWeFr 9:00AM - 9:59AM | Barrows 122 | German Stefanich | 18124 |

107 DIS | MoWeFr 1:00PM - 1:59PM | LeConte 385 | Benjamin Siskind | 18125 |

108 DIS | MoWeFr 2:00PM - 2:59PM | LeConte 385 | Kentaro Yamamoto | 18126 |

109 DIS | MoWeFr 12:00PM - 12:59PM | Etcheverry 3119 | Benjamin Siskind | 18127 |

110 DIS | MoWeFr 1:00PM - 1:59PM | Etcheverry 3119 | Daniel Lowengrub | 18128 |

111 DIS | MoWeFr 2:00PM - 2:59PM | Etcheverry 3119 | Daniel Lowengrub | 18129 |

112 DIS | MoWeFr 3:00PM - 3:59PM | Etcheverry 3119 | Kentaro Yamamoto | 18130 |

113 DIS | MoWeFr 3:00PM - 3:59PM | Evans 87 | Jesse Banks | 18131 |

114 DIS | MoWeFr 4:00PM - 4:59PM | Cory 285 | Jesse Banks | 18132 |

117 DIS | MoWeFr 8:00AM - 8:59AM | Evans 3 | Christopher Eur | 32733 |

118 DIS | MoWeFr 12:00PM - 12:59PM | Evans 70 | Benjamin Castle | 32734 |

119 DIS | MoWeFr 9:00AM - 9:59AM | Hildebrand B56 | Hugo Guihot | 32735 |

120 DIS | MoWeFr 4:00PM - 4:59PM | Dwinelle 183 | Hugo Guihot | 32736 |

## Linear Algebra and Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | TuTh 8:00AM - 9:29AM | Pauley Ballroom | James Sethian | 18117 |

Units | Enrollment Status |
---|---|

4 | Closed |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

201 DIS | MoWeFr 8:00AM - 8:59AM | Dwinelle 215 | Nima Moini | 18135 |

202 DIS | MoWeFr 8:00AM - 8:59AM | Dwinelle 243 | Alexander Carney | 18136 |

203 DIS | MoWeFr 9:00AM - 9:59AM | Latimer 122 | Alexander Carney | 18137 |

204 DIS | MoWeFr 9:00AM - 9:59AM | Etcheverry 3119 | Brandon Williams | 18138 |

205 DIS | MoWeFr 2:00PM - 2:59PM | Evans 5 | Kuan-ying Fang | 18139 |

206 DIS | MoWeFr 4:00PM - 4:59PM | Hildebrand B51 | Emmanuel Tsukerman | 18140 |

207 DIS | MoWeFr 11:00AM - 11:59AM | Latimer 121 | Aaron Brookner | 18141 |

208 DIS | MoWeFr 1:00PM - 1:59PM | Barrows 110 | Aaron Brookner | 18142 |

209 DIS | MoWeFr 12:00PM - 12:59PM | LeConte 385 | Nima Moini | 18143 |

210 DIS | MoWeFr 2:00PM - 2:59PM | Barrows 122 | Kyle Russ-Navarro | 18144 |

211 DIS | MoWeFr 3:00PM - 3:59PM | Barrows 122 | Kyle Russ-Navarro | 18145 |

212 DIS | MoWeFr 3:00PM - 3:59PM | Barrows 118 | Satyaki Mukherjee | 18146 |

213 DIS | MoWeFr 4:00PM - 4:59PM | Barrows 118 | Satyaki Mukherjee | 18147 |

214 DIS | MoWeFr 3:00PM - 3:59PM | Evans 9 | Kuan-ying Fang | 18148 |

215 DIS | MoWeFr 3:00PM - 3:59PM | LeConte 385 | Bryan Brown | 18149 |

216 DIS | MoWeFr 4:00PM - 4:59PM | Dwinelle 187 | Bryan Brown | 18150 |

217 DIS | MoWeFr 4:00PM - 4:59PM | Dwinelle 250 | Yifeng Ding | 18151 |

218 DIS | MoWeFr 5:00PM - 5:59PM | Cory 285 | Emmanuel Tsukerman | 18152 |

219 DIS | MoWeFr 5:00PM - 5:59PM | Dwinelle 250 | Yifeng Ding | 32738 |

220 DIS | MoWeFr 2:00PM - 2:59PM | Barrows 110 | Aaron Brookner | 32739 |

## Discrete Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Stanley 105 | Vera Serganova | 18174 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | MoWe 8:00AM - 8:59AM | Barrows 118 | Eugenia Rosu | 18175 |

102 DIS | MoWe 9:00AM - 9:59AM | Dwinelle 105 | Eugenia Rosu | 18176 |

103 DIS | MoWe 4:00PM - 4:59PM | Barrows 122 | Jonathan Leake | 18177 |

104 DIS | MoWe 11:00AM - 11:59AM | McCone 145 | Ravi Fernando | 18178 |

105 DIS | MoWe 4:00PM - 4:59PM | Barrows 110 | Morgan Weiler | 18179 |

106 DIS | MoWe 5:00PM - 5:59PM | Barrows 110 | Morgan Weiler | 18180 |

107 DIS | MoWe 5:00PM - 5:59PM | Barrows 122 | Jonathan Leake | 18181 |

108 DIS | MoWe 4:00PM - 4:59PM | Dwinelle 251 | Kyle Miller | 18182 |

109 DIS | MoWe 5:00PM - 5:59PM | Dwinelle 251 | Ravi Fernando | 18183 |

110 DIS | MoWe 3:00PM - 3:59PM | Dwinelle 205 | Kyle Miller | 32740 |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 DIS | Tu 6:00PM - 6:59PM | Evans 31 | Ben Wormleighton, Virginia Harrison | 18212 |

Units | Enrollment Status |
---|---|

1 | Open |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 DIS | We 6:00PM - 6:59PM | Evans 31 | Virginia Harrison | 18213 |

Units | Enrollment Status |
---|---|

1 | Wait List |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 DIS | Th 6:00PM - 6:59PM | Evans 31 | Antonio Montalban | 18214 |

Units | Enrollment Status |
---|---|

1 | Open |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 DIS | We 6:00PM - 6:59PM | Evans 35 | Antonio Montalban | 18215 |

Units | Enrollment Status |
---|---|

1 | Open |

## Introduction to Mathematical Economics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 5:00PM - 6:29PM | Kroeber 155 | Philipp Strack | 32482 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Hearst Mining 310 | James Conway | 18217 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 2:00PM - 2:59PM | Hearst Mining 310 | Mariusz Wodzicki | 18218 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 LEC | TuTh 9:30AM - 10:59AM | Hearst Mining 310 | Insuk Seo | 18219 |

Units | Enrollment Status |
---|---|

4 | Closed |

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 LEC | MoWeFr 9:00AM - 9:59AM | Evans 9 | Marina Ratner | 18220 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

005 LEC | MoWeFr 12:00PM - 12:59PM | Hearst Mining 310 | Ved Datar | 18221 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

006 LEC | TuTh 12:30PM - 1:59PM | Dwinelle 182 | Michael Pejic | 34373 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Second Course in Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 3 | Charles Pugh | 18223 |

Units | Enrollment Status |
---|---|

4 | Open |

## Linear Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Valley Life Sciences 2050 | Zvezdelina Stankova | 18224 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | Fr 8:00AM - 8:59AM | Stanley 179 | Chanwoo Oh | 18225 |

102 DIS | Fr 9:00AM - 9:59AM | Evans 2 | Chanwoo Oh | 18226 |

103 DIS | Fr 10:00AM - 10:59AM | Evans 75 | Chanwoo Oh | 18227 |

104 DIS | Fr 11:00AM - 11:59AM | Evans 4 | Christopher Miller | 18228 |

105 DIS | Fr 3:00PM - 3:59PM | Hildebrand B51 | Alexander Zorn | 18229 |

106 DIS | Fr 1:00PM - 1:59PM | Latimer 105 | Christopher Miller | 18230 |

107 DIS | Fr 2:00PM - 2:59PM | Evans 4 | Alexander Zorn | 18231 |

108 DIS | Fr 3:00PM - 3:59PM | Evans 2 | Wolfgang Schmaltz | 18232 |

109 DIS | Fr 4:00PM - 4:59PM | Latimer 105 | Wolfgang Schmaltz | 18233 |

110 DIS | Fr 5:00PM - 5:59PM | Evans 70 | Wolfgang Schmaltz | 18234 |

111 DIS | Fr 8:00AM - 8:59AM | Evans 85 | Eric Hallman | 32741 |

112 DIS | Fr 10:00AM - 10:59AM | Evans 81 | Eric Hallman | 32742 |

113 DIS | Fr 11:00AM - 11:59AM | Latimer 122 | Eric Hallman | 34033 |

114 DIS | Fr 12:00PM - 12:59PM | Dwinelle 283 | Christopher Miller | 34034 |

115 DIS | Fr 1:00PM - 1:59PM | Evans 5 | Alexander Zorn | 34035 |

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 10:00AM - 10:59AM | Evans 740 | Virginia Harrison | 18239 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | TuTh 8:00AM - 9:29AM | Etcheverry 3109 | Khrystyna Serhiyenko | 18240 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 LEC | TuTh 12:30PM - 1:59PM | Etcheverry 3105 | Martin Helmer | 18241 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 LEC | TuTh 2:00PM - 3:29PM | Evans 3 | Andrey Smirnov | 18242 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

005 LEC | MoWeFr 1:00PM - 1:59PM | Giannini 141 | Silvain Rideau | 18243 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

006 LEC | MoWeFr 11:00AM - 11:59AM | Dwinelle 209 | Hongbin Sun | 18244 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

007 LEC | TuTh 12:30PM - 1:59PM | Dwinelle 109 | Clifton Ealy | 34450 |

Units | Enrollment Status |
---|---|

4 | Open |

## Honors Introduction to Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 4:00PM - 4:59PM | Evans 70 | Mariusz Wodzicki | 18245 |

Units | Enrollment Status |
---|---|

4 | Open |

## Second Course in Abstract Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Evans 3 | Vivek Shende | 32217 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Number Theory

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Hearst Mining 310 | Paul Vojta | 18246 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | TBA | TBA | 30070 |

## Fourier Analysis, Wavelets, and Signal Processing

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 9 | Fraydoun Rezakhanlou | 18247 |

Units | Enrollment Status |
---|---|

4 | Open |

## Mathematical Tools for the Physical Sciences

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 1:00PM - 1:59PM | Kroeber 155 | Jason Murphy | 18249 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Partial Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Kroeber 155 | Mihaela Ifrim | 32220 |

Units | Enrollment Status |
---|---|

4 | Open |

## Numerical Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 3:30PM - 4:59PM | Evans 10 | Ming Gu | 18252 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | Tu 8:00AM - 8:59AM | Evans B3A | Ruochen Liang | 18253 |

102 DIS | Tu 9:00AM - 9:59AM | Evans B3A | Chen Shen | 18254 |

103 DIS | Tu 10:00AM - 10:59AM | Evans B3A | Chen Shen | 18255 |

104 DIS | Tu 1:00PM - 1:59PM | Evans B3A | Daniel Hermes | 18256 |

105 DIS | Tu 2:00PM - 2:59PM | Evans B3A | Ruochen Liang | 18257 |

106 DIS | Tu 11:00AM - 11:59AM | Evans B3A | Chen Shen | 18258 |

107 DIS | Tu 12:00PM - 12:59PM | Evans B3A | Daniel Hermes | 18259 |

108 DIS | Tu 5:00PM - 5:59PM | Evans B3A | Ruochen Liang | 18260 |

109 DIS | We 11:00AM - 11:59AM | Evans B3A | Daniel Hermes | 34133 |

## Numerical Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoTuWeTh 4:00PM - 4:59PM MoWe 5:00PM - 5:59PM | Hearst Mining 310 Hearst Mining 310 | Staff Staff | 12197 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

201 DIS | TuTh 5:00PM - 5:59PM | Hearst Mining 310 | 12199 |

## Numerical Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Evans 70 | Marc Rieffel | 18261 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | Th 11:00AM - 11:59AM | Evans B3A | Will Pazner | 18262 |

## Introduction to the Theory of Sets

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 1:00PM - 1:59PM | Moffitt Library 106 | Thomas Scanlon | 18263 |

Units | Enrollment Status |
---|---|

4 | Open |

## Incompleteness and Undecidability

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 5:00PM - 6:29PM | Hearst Mining 310 | Ludovic Patey | 32225 |

Units | Enrollment Status |
---|---|

4 | Open |

## Metric Differential Geometry

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 70 | Fraydoun Rezakhanlou | 32226 |

Units | Enrollment Status |
---|---|

4 | Open |

## Elementary Algebraic Topology

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Dwinelle 182 | Khoa Nguyen | 32227 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Mathematics of the Secondary School Curriculum I

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 10:00AM - 10:59AM | Evans 70 | Ole Hald | 18265 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | We 11:00AM - 11:59AM | Evans 9 | Ole Hald | 18266 |

## Mathematics of the Secondary School Curriculum III

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 11:00AM - 11:59AM | Evans 55 | Emiliano Gomez | 18267 |

Units | Enrollment Status |
---|---|

4 | Open |

### Discussions:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

101 DIS | We 12:00PM - 12:59PM | Evans 65 | Emiliano Gomez | 18268 |

## History of Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Bechtel 240 | Dan-Virgil Voiculescu | 18269 |

Units | Enrollment Status |
---|---|

4 | Open |

## Mathematical Methods for Optimization

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Cory 241 | Bernd Sturmfels | 32228 |

Units | Enrollment Status |
---|---|

4 | Open |

## Combinatorics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 9 | Tyler Helmuth | 18271 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Complex Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 8:00AM - 8:59AM | Hearst Mining 310 | Alexander Givental | 18272 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Introduction to Complex Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 LEC | MoWeFr 1:00PM - 1:59PM | Evans 332 | Michael Klass | 18273 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Complex Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 LEC | TuTh 2:00PM - 3:29PM | Etcheverry 3107 | Constantin Teleman | 18274 |

Units | Enrollment Status |
---|---|

4 | Open |

## Introduction to Complex Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 LEC | MoWeFr 11:00AM - 11:59AM | Hearst Mining 310 | John Lott | 18275 |

Units | Enrollment Status |
---|---|

4 | Closed |

## Introduction to Complex Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

005 LEC | TuTh 3:30PM - 4:59PM | Dwinelle 88 | Michael Pejic | 34374 |

Units | Enrollment Status |
---|---|

4 | Open |

## Experimental Courses in Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 SEM | TuTh 2:00PM - 3:29PM | Evans 70 | John Lott | 18277 |

Units | Enrollment Status |
---|---|

1-4 | Wait List |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 DIS | Tu 7:00PM - 7:59PM | Evans 31 | 18307 |

Units | Enrollment Status |
---|---|

1 | Wait List |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 DIS | We 5:00PM - 5:59PM | Evans 31 | 18308 |

Units | Enrollment Status |
---|---|

1 | Wait List |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 DIS | We 7:00PM - 7:59PM | Evans 31 | 18309 |

Units | Enrollment Status |
---|---|

1 | Open |

## Berkeley Connect

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 DIS | Th 7:00PM - 7:59PM | Evans 31 | 18310 |

Units | Enrollment Status |
---|---|

1 | Open |

## Introduction to Topology and Analysis

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 11:00AM - 11:59AM | Cory 241 | Alan Hammond | 18332 |

Units | Enrollment Status |
---|---|

4 | Open |

## Theory of Functions of a Complex Variable

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Evans 9 | Maciej Zworski | 32407 |

Units | Enrollment Status |
---|---|

4 | Open |

## Von Neumann Algebras

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 2:00PM - 2:59PM | Evans 2 | Brent Nelson | 32408 |

Units | Enrollment Status |
---|---|

4 | Open |

## Differentiable Manifolds

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Evans 3 | Ian Agol | 32409 |

Units | Enrollment Status |
---|---|

4 | Open |

## Algebraic Topology

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 740 | Peter Teichner | 32410 |

Units | Enrollment Status |
---|---|

4 | Wait List |

## Probability Theory

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 12:30PM - 1:59PM | Evans 330 | David Aldous | 18336 |

Units | Enrollment Status |
---|---|

4 | Open |

## Partial Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Evans 2 | Daniel Tataru | 18338 |

Units | Enrollment Status |
---|---|

4 | Open |

## Advanced Topics in Probablity and Stochastic Processes

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 344 | James Pitman | 18339 |

Units | Enrollment Status |
---|---|

3 | Open |

## Metamathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 12:00PM - 12:59PM | Evans 5 | Pierre Simon | 18340 |

Units | Enrollment Status |
---|---|

4 | Open |

## Numerical Solution of Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Davis 534 | Per-Olof Persson | 18341 |

Units | Enrollment Status |
---|---|

4 | Open |

## Multilinear Algebra and Further Topics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 8:00AM - 9:29AM | Evans 3 | Richard Borcherds | 18342 |

Units | Enrollment Status |
---|---|

4 | Open |

## Number Theory

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 72 | Xinyi Yuan | 32426 |

Units | Enrollment Status |
---|---|

4 | Open |

## Algebraic Geometry

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 10:00AM - 10:59AM | Evans 5 | Arthur Ogus | 18343 |

Units | Enrollment Status |
---|---|

4 | Open |

## Lie Groups

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 2:00PM - 2:59PM | Evans 70 | Vera Serganova | 32437 |

Units | Enrollment Status |
---|---|

4 | Open |

## Hot Topics Course in Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | Tu 3:30PM - 4:59PM | Evans 5 | Peter Teichner | 18345 |

Units | Enrollment Status |
---|---|

2 | Open |

## Topics in Algebra

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 11:00AM - 12:29PM | Latimer 105 | David Nadler | 18349 |

Units | Enrollment Status |
---|---|

4 | Open |

## Topics in Applied Mathematics

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | MoWeFr 3:00PM - 3:59PM | Dwinelle 105 | Nicolai Reshetikhin | 33529 |

Units | Enrollment Status |
---|---|

4 | Open |

## Topics in Differential Geometry

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 2:00PM - 3:29PM | Evans 5 | Richard Bamler | 18351 |

Units | Enrollment Status |
---|---|

4 | Open |

## Topics in Partial Differential Equations

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | TuTh 9:30AM - 10:59AM | Evans 891 | Tatiana Toro | 18352 |

Units | Enrollment Status |
---|---|

4 | Open |

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 SEM | Tu 3:45PM - 6:29PM | Evans 939 | David Eisenbud | 18353 |

Units | Enrollment Status |
---|---|

1-6 | Open |

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

002 SEM | Mo 3:00PM - 4:59PM | Evans 736 | Dan-Virgil Voiculescu | 18354 |

Units | Enrollment Status |
---|---|

1-6 | Open |

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

003 SEM | Mo 2:00PM - 2:59PM | Evans 939 | John Lott | 18355 |

Units | Enrollment Status |
---|---|

1-6 | Open |

## Seminars

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

004 SEM | Mo 12:00PM - 12:59PM | Evans 939 | Lauren Williams | 18356 |

Units | Enrollment Status |
---|---|

1-6 | Open |

## Teaching Workshop

### Schedule:

Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|

001 LEC | Th 5:00PM - 6:59PM | Barrows 50 | Jon Wilkening, Shelly Manber | 18572 |

Units | Enrollment Status |
---|---|

4 | Open |