Complex Analysis: Math 452/652

Upon completion of the course the student should be able to use various interpretations of complex numbers to solve algebraic and/or geometric problems; understand the notions of holomorphic and analytic functions and their central role in the theory of complex functions; differentiate and integrate complex functions; prove and apply Cauchy's theorem; rigorously work with power series; apply the residue theorem to calculate real integrals.

Spring 2019:
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I plan to include the following topics:
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