# Math 425/525: Elements of Complex Analysis

## Course Information

Professor: Kiril Datchev

Email: kdatchev@purdue.edu

Lectures: Mondays, Wednesdays, and Fridays, 12:30 to 1:20, in HAAS G66.

Office hours: After class Wednesdays and Fridays, Tuesdays 1 to 3, or by appointment, in MATH 602.

Textbook: *Complex Variables*, by Stephen D. Fisher

We will cover the following topics: Complex numbers and complex-valued functions of one complex variable; differentiation and contour integration; Cauchy’s theorem; Taylor and Laurent series; residues; conformal mapping; special
topics.

Grading is based on
Almost weekly homework assignments, worth 20% of the total grade,
two in-class midterm exams, on dates to be announced, each worth 20% of the total grade,
a final exam, as scheduled here, worth 40% of the total grade.

### Homework

Homework is due on paper at the beginning of class on Wednesdays. Here are the assignments:

Homework 1, due August 28th, will be posted later.

### Additional Reading

Some good books which go deeper into the subject than our textbook are the classic *Complex Analysis* by Lars Ahlfors and the more recent
*Introduction to Complex Analysis*, by Michael E. Taylor.

Finally, a list of general policies and procedures can be found here.