# Math 5423 (Complex Analysis II)

# Spring 2012

** Instructor: **

John Albert
Office: PHSC 1004, Ext. 5-3782.
Office hours: Tuesday 2:30-3:30; Thursday 10:30-11:30; Friday 1:30-2:30 (or by appointment)
E-mail: jalbert@ou.edu

## Information

## Homework

### Assignment 1 (due Mon, Jan 30)

6.1, 6.2, 6.8
### Assignment 2 (due Wed, Feb 8)

6.3, 6.12, 6.20
### Assignment 3 (due Fri, Feb 17)

7.19, 7.22, 7.23
### Assignment 4 (due Fri, Mar 9)

7.46, 7.50, 7.57, 7.59
### Assignment 5 (due Mon, Apr 2)

8.2, 8.4, 8.7
### Assignment 6 (due Mon, Mar 30)

Two problems on this sheet.

## Exams

### Exam 1 (Friday, Feb. 24)

### Exam 2

### Final Exam: Thursday, May 10 from 1:30 pm to 3:30 pm in PHSC 809

## Links

The article ``From Schwarz to Pick
to Ahlfors and Beyond'', by Robert Osserman, in AMS Notices, vol. 46 (1999), 868 -- 873, is worth looking at to get
a bigger picture of what lies behind the innocuous-looking but powerful Schwarz lemma. In this connection, another interesting place to visit is the Stack Exchange
page on Picard's Little Theorem Proofs.
For which domains D in the plane is it true that every conformal self-map of D is a Mobius transformation? For an answer to this question, see
Conformal Automorphisms of Plane Domains by A. F. Beardon, Journal
of the London Math. Society (1985), 245-253.