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, 1 to 3 Tuesdays, 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, one on Monday 9/16 and one on a date 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.
    Homework 2, due September 4th.
    Review problems for Midterm 1.
    Homework 3, due September 25th.
    Homework 4, due October 2nd.
    Homework 5, due October 16th.
    Review problems for Midterm 2.
    Homework 6, due November 6th.
    Homework 7, due November 13th.
    Homework 8, due November 20th.
    Notes on lift.

    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.