Math 456 - Complex Variables
Spring 2025

Syllabus

Announcements:
 - The final exam will be given on Friday, May 9 from 10:00-11:50 am.  You may prepare and bring one 8.5" by 11" sheet of paper with any formulas, problems, or any other material you would like to use on the exam.  You can use both front and back of this sheet.  Additionally, you may use a scientific calculator.  To help you study for the exam, you may find it useful to review this list of exam material.


Homework Assignments

 - Homework 1, due Friday, January 24
 - Homework 2, due Friday, January 31
 - Homework 3, due Friday, February 7
 - Homework 4, due Friday, February 21
 - Homework 5, due Friday, February 28
 - Homework 6, due Friday, March 14
 - Homework 7, due Friday, March 28
 - Homework 8, due Friday, April 4
 - Homework 9, due Friday, April 25
 - Homework 10, due Friday, May 2 (or any time before the Final Exam)


Past Announcements:
 - Exam 1 will be given on Friday, February 7.  It will cover material on arithmetic and geometry of complex numbers and basics of functions of a complex variable.
 - Exam 2 will be given on Friday, February 28.  It will cover material on limits and derivatives of complex-valued functions, as well as derivatives and integrals of functions from the real numbers to the complex numbers.
 - As voted on in class, Exam 3 will now be given on Monday, April 7.  It will cover the material on Homeworks 6, 7, and 8, which include contour integrals and the various tools for computing them, as well as convergence of series in the complex numbers, and Taylor series and Laurent series for functions of a complex variable.