$$ \newcommand{\cis}{\operatorname{cis}} \newcommand{\norm}[1]{\left\|#1\right\|} \newcommand{\paren}[1]{\left(#1\right)} \newcommand{\sq}[1]{\left[#1\right]} \newcommand{\abs}[1]{\left\lvert#1\right\rvert} \newcommand{\set}[1]{\left\{#1\right\}} \newcommand{\ang}[1]{\left\langle#1\right\rangle} \newcommand{\floor}[1]{\left\lfloor#1\right\rfloor} \newcommand{\ceil}[1]{\left\lceil#1\right\rceil} \newcommand{\C}{\mathbb{C}} \newcommand{\D}{\mathbb{D}} \newcommand{\R}{\mathbb{R}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\N}{\mathbb{N}} \newcommand{\F}{\mathbb{F}} \newcommand{\T}{\mathbb{T}} \renewcommand{\S}{\mathbb{S}} \newcommand{\intr}{{\large\circ}} \newcommand{\limni}[1][n]{\lim_{#1\to\infty}} \renewcommand{\Re}{\operatorname{Re}} \renewcommand{\Im}{\operatorname{Im}} $$

Useful links

Office hours (Evans 851)

  • Tuesdays 10:15 - 11:45
  • Wednesdays 1:15 - 2:45

Email

GSI:

Aaron Brookner (Evans 961)
  • Tuesdays 9:00-14:00
  • Wednesdays 9:00-12:00
  • Thursdays 9:00-12:00

Exams

Math 185 - Introduction to Complex Analysis

Course Schedule

Below is an approximate schedule of topics to be covered in the course. It accurately reflects content we have covered up to February 4th, and gives a projection of what we will cover in the coming weeks. It will be updated and extended as the semester progresses.

Week ofTopics
Jan 20Preliminaries from 104; geometry of $\C$; holomorphic functions; the Cauchy-Riemann equations
Jan 27Holomorphic functions; power series
Feb 3$xp$, $\cos$, and $\sin$; curves; integration, primitives
Feb 10The Cauchy-Goursat Theorem, primitives of holomorphic functions; Cauchy's integral formula
Feb 17Liouville's Theorem, the Fundamental Theorem of Algebra, Morera's Theorem, zeros of holomorphic functions
Feb 24...

Last updated: September 13, 2021.