Complex numbers, functions of a complex variable, analytic functions, Cauchy and related theorems, Taylor and Laurent expansions, the residue calculus and applications, harmonic functions, conformal mapping, applications. Prerequisite: AUMAT 212.
Complex numbers, functions of a complex variable, analytic functions, Cauchy and related theorems, Taylor and Laurent expansions, the residue calculus and applications, harmonic functions, conformal mapping, applications. Prerequisite: AUMAT 212.