MATH-UA 382 Functions of a Complex Variable
4 points. Spring term only.
Note: Prior to Fall 2025, Functions of a Complex Variable was formerly numbered MATH-UA 282. Effective Fall 2025, the course has been renumbered MATH-UA 382. The course title, content, material, workload, duration and instruction remain unchanged. Only the course number has been updated to better align with the Math Department’s sequencing of courses.
Course Description
Complex numbers and complex functions. Differentiation and the Cauchy-Riemann equations. Cauchy's theorem and the Cauchy integral formula. Singularities, residues, and Laurent series. Fractional Linear transformations and conformal mapping. Analytic continuation. Applications to fluid flow etc.
Prerequisites
Students must earn grades of C or higher in the following two prerequisite courses:
- MATH-UA 123 Calculus III or MATH-UA 129 Honors Calculus III or MATH-UA 133 Math for Economics III
- MATH-UA 140 Linear Algebra or MATH-UA 148 Honors Linear Algebra