MATH 218 Functions of Complex Variables
This course covers selected topics in the theory of functions of a complex variable, and its applications to problems that arise in physics and engineering. Topics include analytic functions and the Cauchy-Riemann equations, integrals and the Cauchy integral formula, power series representations, residues, conformal mappings, and their applications.
The expected learning outcomes are as follows:
– To explain differential and integral calculus of functions of a complex variable.
– To apply techniques of integration of complex-valued functions and the Cauchy integral formula.
– To construct power series representations of analytic functions, and Laurent expansions.
– To explain the theory of residues and poles, and its applications to definite and improper integrals.
– To explain mappings by elementary analytical functions, and conformal mappings.
– To apply the concepts, ideas, and techniques of complex function theory to selected problems of physics and engineering.
You may find the syllabus here.
If you are wondering about the strangely fascinating image on our poster, it is called the Mandelbrot Set, which is nicely explained in the video below.