Complex Analysis with Applications
Math 417 -- Fall 2011 -- Call #13710 undergrad, #20441 grad
10 AM, MWF, 306 Addams Hall

"One of the most beautiful as well as useful branches of mathematics"
Murray R. Siegal - author of Schaum's Outline of Advanced Calculus


INSTRUCTOR: Steven Hurder
OFFICE: 505 SEO
CONTACT: (312) 413-2154, hurder@uic.edu
OFFICE HOURS: 11-12 MWF in 505 SEO, or by appointment

Plot of the function

COURSE DESCRIPTION

Topics: Complex numbers, analytic functions, complex integration, Taylor and Laurent series, residue calculus, branch cuts, conformal mapping, argument principle, Rouche's theorem.

This course will emphasize applications and solving problems. You must know the theorems, but more importantly, know how to use them.

This course is also preparation for the Complex Analysis section of the Masters Exam.

The sequel to this course is the graduate level course, Math 535 - Complex Analysis I.


EXAMS, HOMEWORK & GRADES

Working problems is an integral part of learning this subject. Homework will be assigned almost every week and graded. No late homework will be accepted.

The Final grade will be based upon grades for the Homeworks (30%), Midterm (30%) and Final Exam (40%).

If the link is active, you can download the homework assigments below.

TEXTBOOK & READINGS

The course textbook is:

Complex Variables and Applications, Eighth Edition, McGraw Hill, by Brown and Churchill.

There is an enormous amount of web sites for Complex Analysis. Here, for example, is a complete set of class notes with exercises and web links, from the course offered at SUNY, Binghamton. Reading these notes can serve as a review for the course.

The following articles, and the references therein, are a good start for further reading.

SUPPLEMENTAL HANDOUTS

Here are some other resources:


December 9, 2011 - Return to home