Complex Analysis

You may know that complex numbers arise when you play around too much with square roots and negative numbers. However, complex numbers aren't just curiosities resulting from bad mathematical behavior. The most advanced calculus class offered in the Magnet, Complex Analysis, takes the concepts from the first two Analysis courses a step further by pushing them into the exotic realm of the complex plane. In this course, students will learn how to integrate by differentiating, differentiate by integrating, and both by using just regular old algebra.  ...does that make your first two years of calculus useless?  Come find out!

Students are introduced to the theory of functions of complex variables, an essential part of the mathematical background of engineers, physicists, mathematicians, and other scientists.  They explore constructions of complex numbers and study complex functions and the calculus of complex functions, including derivatives and integrals. Other topics studied include series, residues, and extension topics of students' selection.