This topic includes: Elementary mappings and transcendental functions in the complex domain; branch of argument; branch of logarithm. Complex power series, domain of convergence. Analytic functions; Cauchy-Riemann equations. Mobius transformation; conformal mapping; Schwarz-Christoffel transformations and applications. Taylor and Laurent series. Applications of the calculus of residues. Rouche's theorem. Infinite products. Iteration of complex valued functions and their Julia and Fatou sets
Timetable details for 2021 are no longer published.