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:

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

  Homework Assignments and Worksheets

  Tests and Samples

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