This course aims to acquaint students with the fundamental notions of Complex Variables and Applications including Complex numbers, functions, limits, continuity, complex differentiation, Cauchy- Riemann equations, complex integration, Cauchy’s theorem, Cauchy’s integral formulas, infinite series, Taylor’s and Laurent series, Residue theorem, conformal mapping, physical applications of conformal mapping.

Complex numbers, functions, limits, continuity, complex differentiation, Cauchy- Riemann equations, complex integration, Cauchy’s theorem, Cauchy’s integral formulas, infinite series, Taylor’s and Laurent series, Residue theorem, conformal mapping, physical applications of conformal mapping.