Functions of a Complex Variable

(4 Credits)

Complex variables and functions play an essential role in many branches of mathematics and science. In this course, we cover basic aspects of the theory, including differentiation of complex functions, the Cauchy-Riemann equations, Cauchy’s theorem and integral formula, singularities, Laurent series, conformal mapping, analytic continuous, and applications to fluid flow. Prerequisite: Grade C or better in either MATH-SHU 151 (Multivariable Calculus) or MATH-SHU 329 (Honors Analysis II). Equivalency: This course counts for MATH-UA 282. Fulfillment: Math constrained Math elective; Honors Math elective.