Id: 001227 Credits Min: 3 Credits Max: 3 Description. A first course in theory of analytic functions of one complex variable: complex differentiability and the Cauchy-Riemann equations, Cauchy ...

Analytic functions, Cauchy-Riemann equations. Power series representation. Line integrals, Cauchy’s theorem and Cauchy’s integral formulas. Residue theorem and its application, Rouche’s theorem. Open ...

The specific topics that will be covered are: the geometry of complex numbers, complex differentiation, Cauchy-Riemann equations, Cauchy's integral theorem, Cauchy's integral formula, Taylor series.

We will cover complex numbers and their properties, differentiation of complex-valued functions, analytic functions and the Cauchy-Riemann conditions, elementary functions of a complex variable, both ...

Analytic function, Cauchy-Riemann equations, Cauchy's theorem, Cauchy's integral formula, power series, Taylor's series, Laurent's Series, Singularities, Cauchy's residue theorem, contour integration.

Id: 001227 Credits Min: 3 Credits Max: 3 Description. A first course in theory of analytic functions of one complex variable: complex differentiability and the Cauchy-Riemann equations, Cauchy ...