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Functions of a Complex Variable, Fall 2008
(Complete Item Description)
- Abstract:
The basic properties of functions of one complex variable. Cauchy's theorem, holomorphic and meromorphic functions, residues, contour integrals, conformal mapping. Infinite series and products, the gamma function, the Mittag-Leffler theorem. Harmonic functions, Dirichlet's problem. This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted. This course offers biweekly problem sets with solutions, two term tests and a final exam, all with solutions.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
- MIT OpenCourseWare