Math 326 — Functions of a Complex Variable drop down menu About Lectures OnQ


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: Fridays, 9:30—11:30, Jeff 507
Textbook: Fundamentals of Complex Analysis, by Edward Saff and Arthur Snider, 3rd edition.

Classes (slot 2)
  Mon. 9:30—10:30   Wed. 8:30—9:30   Thurs. 10:30—11:30
    Wed. 10:30–11:30  
  All classes, and the tutorial, are in Stirling A.

Grading Scheme
Homework 20%
Midterm 30%
Final 50%

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  Oct. 28 19:45—21:45 Ellis Auditorium

Final Dec. 7 14:00—17:00 Grant Hall