Part I: Complex Variables

There is nothing especially real about the “real numbers.” More specifically, the real numbers are simply numbers whose squares are non-negative. The name real number probably comes from the fact that there is a 1-to-1 correspondence between the real numbers and points on the x-axis. However the points on the x-axis make up a rather small portion of the points in the entire xy-plane. In that context, the complex numbers extend the number system from representing points on the x-axis into a larger system that represents points in the entire xy-plane. In this part of the course we discuss the arithmetic of complex numbers and why they are so important.

Course Info

As Taught In
Fall 2011
Learning Resource Types
Lecture Videos
Problem Sets with Solutions
Lecture Notes