MATH 552 and 752-I Complex Variables  - Fall 2000 Professor Sharpley Meets: TTh 9:30 - 10:45 in LeConte 303 B Instructor Information  Office:   LeConte 313 D  Office Hours:   TTh 8:00 - 9:30

Course Information

Description:   The course covers the basic principles (both theory and applications) of differentiable complex-valued functions of a single complex variable. Topics include the complex number system, Cauchy-Riemann conditions, analytic functions and their properties, special analytic functions including linear fractional transformations, roots, exponential, Log, trigonmetric and hyperbolic functions of a complex variable; Complex integration and line integrals, Cauchy's theorem, Cauchy represenation, conformal mapping, Taylor and Laurent Series expansions; the calculus of residues and various applications. Matlab graphics will be used to provide 4-D graphical representations of analytic functions.

Text:  Fundamentals of Complex Analysis for Mathematics, Science And Engineering (2-nd edition), by Edward B. Saff and Arthur D. Snider, Prentice Hall, 1993.  [ISBN: 0-13-327461-6]

Grading scheme: Three tests, each counting 20% of the final grade. The homework, turned in on a regular basis, counts 10%, with the comprehensive final exam counting 30%. Classroom attendance is required according to official university policy.

Important Course Dates:

August 24   (Thursday) August 30   (Wednesday) September 4   (Monday) September 21   (Thursday) October 5   (Thursday) October 16-17   (Mon.-Tues.) October 26   (Thursday) November 7   (Tuesday) November 22-26   (Wed.-Sun.) November 30   (Thursday) December 8   (Friday) December 14   (9 am, Thursday)   Classes Begin Last Day for Withdrawal w/o penalty Labor Day - no classes Test 1 Last Day for Withdrawal w/o WF grade Fall Break - no classes Test 2 Election Day - no classes Thanksgiving Holidays - no classes Test 3 Classes End Final Exam

Prerequisites: Qualification through placement, or a grade of C or better in MATH 241 or its equivalent.

  Homework Assignments and Worksheets

  Tests and Samples

This page maintained by Robert Sharpley (sharpley@math.sc.edu) and last updated August 22, 2000.  This page ©2000-2001, The Board of Trustees of the University of South Carolina.  URL: http://www.math.sc.edu/~sharpley/math552