Complex Analysis 7.5 credits
About the course
The course is an introduction to complex analysis in one variable. The course covers 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, in particular Möbius transformations. The course also treats one or more applications of the theory.
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