Complex Analysis

Catalog description

The four core components covered in the course are (i) complex numbers and elementary functions of a complex variable (ii) limits, continuity and analyticity (iii) the Cauchy integral formula, power series and Laurent series and (iv) the Residue theorem and its applications. After completing the course, student should be able to: explain and restate theorems and definitions in different contexts and as they apply to special cases in each of the four core components of the course; identify with theorems and definitions apply to various situations in each of the four core components of the course; construct proofs in each of the four core components of the course; use the theorems and techniques to solve problems in each of the four core components of the course.