The calculus of functions with complex numbers as inputs and outputs has surprising depth and richness. The basic theory of these functions is developed in this course. The standard topics of calculus (function, limit, continuity, derivative, integral, series) are explored in this new context of complex numbers leading to some powerful and beautiful results. Applications include using conformal mappings to solve boundary-value problems for Laplace's equation.
Natural Scientific and Mathematical Perspectives
Prerequisites
MATH 280 with a grade of C- or higher.
Course UID
002022.1
Course Subject
Catalog Number
380
Long title
Complex Analysis