Math 416: Complex Variables

Welcome to the webpage for Math 416. This course is an introduction to complex variables.
Topics include: Analytic functions; elementary functions and their properties. Line integrals; the Cauchy integral formula. Power series; residues; poles. Conformal mapping and applications.

Prerequisites: Math 318, Math 308, or ESE 317 or permission of instructor

Text book: Complex Variables and applications by J.W. Brown and R.V. Churchill.

Office hour: Tuesday 4:30-5:30, Wedensday 1-3pm, and by appointment

Homework: There will be weekly homework. The homework is due on Thursdays (starting from Thursday September 10) at the beginning of class. Late homework will not be accepted.
You are encouraged to discuss the problems but the write-up must be your own.
I expect there will be 12 problem sets. The lowest homework grade will be dropped and the remaining 10 will be counted towards your final course grade.

Exams: There will be two in class midterm exams during the semester. The first midterm is scheduled for Tuesday October 6th, and the second midterm is schedule for Thursday November 12th. There will also be a final exam.
If you are unable to take one of the midterm exams for legitimate reasons, you will not be given a make up exam.

Grading Information: The midterms and the homework will each count for 20 percent of your grade. The final exam will count for 40 percent of your grade.

Problem Sets:
Problem Set 1, Due September 10. Solutions
Problem Set 2, Due September 16. Solutions
Problem Set 3, Due September 23. Solutions
Problem Set 4, Due October 1. Solutions
Problem Set 5, Due October 15. Solutions
Problem Set 6, Due October 22. Solutions
Problem Set 7, Due October 29. Solutions
Problem Set 8, Due November 5. Solutions
Problem Set 9, Due November 17.
Problem Set 10 will be Due December 1.
Problem Set 11 will be Due December 8.