Introduction to Complex Analysis

Introduction to Complex Analysis
Complex algebra, analytic functions, integration in the complex plane, infinite series, theory of residues, conformal mapping.
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMATH 290; Math 341 or concurrent enrollment.
 TaughtFall, Winter, Summer
 ProgramsContaining MATH 352
Course Outcomes

Complex algebra, analytic functions, infinite series, etc.

This course is aimed at graduates majoring in mathematical and physical sciences and engineering. In addition to being an important branch of mathematics in its own right, complex analysis is an important tool for differential equations (ordinary and partial), algebraic geometry and number theory. Thus it is a core requirement for all mathematics majors. It contributes to all the expected learning outcomes of the Mathematics BS degree.For more detailed information visit the Math 352 Wiki page.

Mastery of Concepts

Students will master complex numbers, limits, analytic functions, elementary functions in the complex plane, contour integrals, Taylor series, Laurent series, isolated singularities, residue theory and applications, and conformal mappings.