Math 417 “ Complex Analysis''

Fall semester 2007; CRN's 13710, 20441

Contact info:

Office:  SEO 1221
phone: (312) 413 2967
e-mail: shvydkoy at math.uic.edu
Office hours: 1-2pm MWF


Timetable Info:

Class 2:00 pm - 2:50 pm MWF SES170  Aug 27, 2007 - Dec 07, 2007 Lecture-Discussion


Description:

Complex numbers, analytic functions, complex integration, Taylor and Laurent series, residue calculus, branch cuts, conformal mapping, argument principle, Rouche's theorem, Poisson integral formula, analytic continuation. Prerequisite: Grade C or better in Math 210. Textbook by J. Brown and R. Churchill “Complex variables and Applications” 7th edition.

Testing system:

Homework assignments -- given every week and are due Friday the following week. Exercised will be graded selectively. Two 1 hour exams - 100pts each. Final - 150pts. Homework - 100pts. Total - 450pts.

List of topics:

Topic Hours

Complex numbers and their geometric representation     3                             
Analytic functions                                     8                             
Integration, Laurent Series, residues                 11                             
Branch cuts                                            3                             
Conformal mapping                                      5                             
Argument principle, Rouche's theorem                   5                             
Poisson Integral formula                               5                             
Analytic Continuation                                  5                             
                             Total                    45

Announcements:


The first one hour exam will be given on October 5. It will include Chapters 1,2,3, and the part of Ch 4 covered before the exam.
Check later for a sample exam.