Math 6221 - Complex Analysis I - Fall 2017

Lecture: MWF 12:40 - 13:35 at MW154. Office hours: Tu,Th 10:00am-11:30am, W 2:00-3:00pm or by apt. at MW 710.


This is the first part of a two sequence complex variables course. This semester focuses on the basic properties of holomorphic functions such as the Cauchy and residue theorems, the classification of singularities, harmonic functions, Riemann mapping theorem, maximum principle, conformal mappings, analytic continuation. We will put emphasis on rigour, generalisation and abstraction, and connections with other parts of mathematics.


We will have homework assignments and one final exam.


The main text we use for this course is Ahlfors. We will also use Stein-Shakarchi and Conway as supplementary texts.


Homework 1 (due on Friday September 1st).

Homework 2 (due on Friday September 15).

Homework 3 (due on Friday September 29).

Homework 4 (due on Monday October 16).

Homework 5 (due on Friday October 27).

Homework 6 (due on Monday November 13).

Homework 7 (due on Monday November 27).

Homework 8 (due on Wednesday December 6).

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