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Complex Analysis

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The algebra and geometry of complex numbers, sequences and series of complex numbers, derivatives, and integrals of functions of a complex variable. The Cauchy-Goursat Theorem, the Cauchy Integral Formula and its consequences, Taylor series, classification of singularities, the Residue Theorem, Laurent series, harmonic functions, conformal mappings, and, if time permits, miscellaneous applications.


Prerequisites:

Mathematics 160 and one of Mathematics 220, 230, or 255. (Spring)