### COMPLEX ANALYSIS COURSE TEXT AHLFORS HOMEWORK SOLUTIONS

Linear Fractional transformations, elementary mappings. Homework is accepted until the solutions have been posted. Harmonic functions, Poisson kernel. Complex Analysis by Lars Ahlfors, 3ed. That is, after discussing the gamma function we will move on to normal families 5.

That is, after discussing the gamma function we will move on to normal families 5. Families of Analytic Functions. Problems are listed using notation like Sec 1. Outline I plan to give a very standard beginning complex analysis course. Please make sure to write clearly and that the assignment number and your name appear at the top of the first page. The suggested reading for the material for this is:

After that, we will for the most part proceed linearly through the textbook at a steady rate.

## Complex Analysis I

Cambridge University Press, The mailroom is located on the 3 rd floor of SEO. The sections under discussion will be announced in solutinos lecture, and it is up to you to keep up with the corresponding reading. The final grade will be based on the midterm and final exam and the homework grades.

Complex Analysis by L. Homework assignments will appear cojplex this page approximately every week. Typeset solutions are welcome, but not required.

# Solutions to Complex Analysis () :: Free Homework Help and Answers :: Slader

Homework 7 due Monday, Feb 29 — Geometric properties of holomorphic functions Sec 4. Unless otherwise noted, all problems refer to the main textbook, Complex Analysis3 rd Edition, by Lars Ahlfors. The ahofors reading for the material for this is: That is, after discussing the gamma function we will move on to normal families 5.

Chapter 2, sec 1. Outline I plan to give a very standard beginning complex analysis course.

# Complex Variables

Students are strongly advised to work on all the homework problems to make sure they are keeping pace with the class. Complex Analysis by Lars Ahlfors, 3ed. Please make sure to write clearly and that the assignment number and your name appear at the top of the yomework page.

Quick review of elementary point set topology. By appointment Outline I plan to give a very standard beginning complex analysis course. The following announcements of this type have been made: Chapter 2 sec 1.

## CHEAT SHEET

Complete problems 3 and 5 on this list. Contents of the course: The exponential and logarithmic functions. Any sections to be skipped or material to be covered out of order will be announced in advance.

The final will be in class on Dec The inversion of the UIC circle mark in its boundary. Late homework is not accepted. Linear Fractional transformations, elementary mappings.

Course Outline – Mat – Fall Read as necessary, depending on your knowledge of topology. Some of the material can also be found in Hyperbolic Geometry from a local viewpoint, L.

Monday classes — no meeting. I will assume the material in the first chapter on the algebraic properties of complex numbers and their geometric representation. No Class Rosh Hashana. Weekly homework Aanlysis exercises — Elliptic Functions Sec 7. Course meetings, Tues -Thurs