MATH 552 and 752I
Complex Variables  Fall 2000 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 complexvalued functions of a single
complex variable. Topics include the complex number system, CauchyRiemann
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 4D graphical
representations of analytic functions.
Text: Fundamentals of Complex Analysis for Mathematics, Science And Engineering (2nd edition), by Edward B. Saff and Arthur D. Snider, Prentice Hall, 1993. [ISBN: 0133274616]
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:

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


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and last updated August 22, 2000. This page ©20002001, The Board of Trustees of the University of South Carolina. URL: http://www.math.sc.edu/~sharpley/math552 