Math 326 — Functions of a Complex Variable

The homework assignments can be found on the lectures page.

The theory of calculus with complex numbers, also known as the theory of functions of a complex variable, is the most original creation of nineteenth century mathematics and has been acclaimed as one of the most harmonious theories in the abstract sciences.

Complex function theory is not just a simple extension of the real theory to the complex numbers — the condition of complex differentiability imposes strong requirements, and complex analytic functions behave much better than their real counterparts.

Besides uncovering their beautiful geometry and remarkable properties, the study of complex analytic functions illuminates the theory of functions of a real variable, and allows us to solve many real integrals otherwise beyond the reach of our techniques.

This course is an introduction to complex analysis, intended for students in Mathematics, Physics, and Mathematics and Engineering. We will focus on a careful development of the theory as well as some applications to physical problems.

Instructor: Mike Roth
Office Hours: Wednesdays, 15:30—17:30, Jeff 201
Textbook: Fundamentals of Complex Analysis, by Edward Saff and Arthur Snider

Classes (slot 22)
  Mon. 15:30–16:30   Wed. 14:30–15:30   Thurs. 16:30–17:30
All classes are in Jeff 101.

Grading Scheme
Homework 30%
Midterm 30%
Final 40%

There are twelve homework assignments during the semester. The lowest two of these twelve grades will be dropped when computing the homework grade for the course.

Important Dates
Midterm Exam Oct. 27 7–9pm Macdonald 001
Final Dec. 18 7–10pm Bartlett Gym