Introduction to Complex Analysis

This course introduces complex analysis, which is the theory and practice of complex functions for complex variables. The course will begin with an introduction to the complex plane and the geometry and algebra of complex numbers. Next, we will explore differentiation, integration, power series representation, Laurent series, and complex dynamics. Finally, we will move into territory at the edges of what is currently known. Each module contains five videos with embedded quizzes and a homework assignment that is electronically graded. Modules 1, 3, 5 and 5 include a peer assessment.

It will take time to review and practice the concepts covered in lectures. You will learn a lot while you complete the homework assignments. These assignments are not intended to be completed in a hurry. You will need to bring paper and pen to help you answer the questions. Depending on your experience, the course should take between 6-12 hours to complete.