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Unformatted text preview: Tuesday, December 14 between 1 PM and 3 PM. Topics: Complex Numbers and Elementary Functions : Complex numbers, powers , the exponential function, the logarithm, trigonometric functions. Analyticity : Limits, continuity, differentiability. Complex Integrals : Contour integrals, Cauchys theorem and integral formula, Liouvilles theorem, Moreras theorem. Power Series : Power series expansion of analytic functions. Operations on series. Zeros of analytic functions. Laurent Series and Isolated Singularities The Residue Calculus : The residue theorem and the evaluation of certain integrals via residues....
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This note was uploaded on 11/09/2010 for the course MATH 532 taught by Professor Staff during the Spring '08 term at San Diego State.
- Spring '08