Math 535: Complex Analysis

David Dumas

University of Illinois at Chicago
Spring 2016

[Inversion of the UIC circle logo]
The inversion of the UIC circle mark in its boundary. (Animated.)
Main Text Complex Analysis by Lars Ahlfors, 3ed.
Hardcover: McGraw-Hill, 1979. ISBN-13: 978-0070006577
Paperback: McGraw-Hill, 1980. ISBN-13: 978-0070850088
Supplementary Texts Gamelin
Bak and Newman
Lectures MWF 10:00am in 308 Stevenson Hall
Office hours Monday 2-3 and Wednesday 11-12
(including the final exam week)
Office 503 SEO
CRN 19436


Important Dates

There will be one midterm exam and a cumulative final exam.
Midterm Exam Mon, Feb 29 In class
Final Exam Fri, May 6 10:30am-12:30pm in 308 Stevenson Hall

About the final exam

The final exam will take place on Friday May 6, 10:30am-12:30pm, in 308 Stevenson Hall.

There will be a total of eight problems on the exam, and you will be asked to complete any five of them.


Your course grade will be determined on the following basis:
Homework 40%
Midterm Exam 20%
Final Exam 40%

When computing your homework grade, the lowest weekly homework score will be dropped, and the remaining scores will be averaged with your challenge problem scores. (That is, each challenge problem is worth as much as a weekly homework assignment!)

Weekly homework

Homework assignments should be submitted to the mailbox of the grader, John Kopper, by 4:00pm on the due date. The mailroom is located on the 3rd floor of SEO. Late homework is not accepted.

Unless otherwise noted, all problems refer to the main textbook, Complex Analysis, 3rd Edition, by Lars Ahlfors. Problems are listed using notation like

Sec 1.2.4(p20): 3, 5
which means
In Chapter 1, section 2.4, the list of exercises begins on page 20.
Complete problems 3 and 5 on this list.

Please make sure to write clearly and that the assignment number and your name appear at the top of the first page. Staple your homework if it spans several sheets of paper. Typeset solutions are welcome, but not required.


By the end of the first week, read chapter 1 and the first two sections from chapter 2.

After that, we will for the most part proceed linearly through the textbook at a steady rate. The sections under discussion will be announced in each lecture, and it is up to you to keep up with the corresponding reading.

Any sections to be skipped or material to be covered out of order will be announced in advance. The following announcements of this type have been made:

We covered a proof of the integral formula for the gamma function which is different from the one in Ahlfors. The suggested reading for the material for this is:

Other Resources

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