|MATH 552 and 752-I
Complex Variables - Fall 2000
Office: LeConte 313 D
Office Hours: TTh 8:00 - 9:30
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:
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
and last updated August 22, 2000.
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