Complex Analysis 7.5 credits

About the course

The course is an introduction to complex analysis in one variable. The course deals with complex numbers and topology of the complex plane, analytic and harmonic functions, Cauchy-Riemann equations, complex integration, Cauchy's integral formula, power series and Laurent series, zeros and singularities, residue theory with the Cauchy residue theorem, the argument principle and conformal mappings. The course also covers one or more applications of the theory are reviewed.

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