# Spring 2017 MATH 185 001 LEC

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 |

**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)