Difference between revisions of "Math 532: Complex Analysis"
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=== Prerequisites === | === Prerequisites === | ||
| + | A knowledge of complex analysis at the level of a first course such as Math 352. | ||
=== Minimal learning outcomes === | === Minimal learning outcomes === | ||
| + | Students should be familiar with the following concepts. They should know the technical terms, and be able to implement the methods taught in the course to work associated problems, including proving simple results. | ||
| + | |||
| + | #'''Essential results from a first course''' | ||
| + | |||
| + | Review of power series, integration along curves, Gourset theorem, Cauchy's theorem in a disc, Taylor series, Morera's theorem, singularities, residue calculus, Laurent series, argument principle, harmonic functions, maximum modulus principle. | ||
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Revision as of 10:51, 25 May 2010
Contents
Catalog Information
Title
Complex Analysis.
Credit Hours
3
Prerequisite
Math 352 or instructor`s consent.
Description
A second course in complex analysis including the theory of infinite products, gamma and zeta functions, elliptic functions and the Riemann mapping theorem.
Desired Learning Outcomes
Prerequisites
A knowledge of complex analysis at the level of a first course such as Math 352.
Minimal learning outcomes
Students should be familiar with the following concepts. They should know the technical terms, and be able to implement the methods taught in the course to work associated problems, including proving simple results.
- Essential results from a first course
Review of power series, integration along curves, Gourset theorem, Cauchy's theorem in a disc, Taylor series, Morera's theorem, singularities, residue calculus, Laurent series, argument principle, harmonic functions, maximum modulus principle.
