Math 4391 - Complex Analysis

• Prerequisite: "C" or better grade in Math 2203
• Credit hours: 3-0-3
• The study of complex variables is a central subject in mathematics, important for students in mathematics, engineering and physical sciences (due to so many applications to fluid mechanics, heat conduction, and electromagnetic theory). Complex variables are a very powerful tool for solving problems that are either difficult or virtually impossible to solve in any other way. Topics covered in MATH 4391 provide an introduction to the subject, including basics from complex functions theory: complex numbers, analytic functions, cauchy-Riemann conditions, elementary functions, complex integration, Cauchy's theorem and integral formula, power series, residues and applications.