Math 220 -- Elementary Complex Analysis 

Math 220 delves into the algebra, analysis, and geometry of the complex numbers. In some ways, the complex numbers behave much like the more familiar real numbers, but in other ways, they have a richer and more interesting structure. In many cases, a problem involving only real numbers can most easily be solved by working with the seemingly more complicated complex numbers.

This course is not a requirement for the math major or minor, but it can be counted as a 200-level elective toward either the major or the minor. It is also often taken by physics majors, since many theories in physics (such as wave and quantum mechanics) are typically expressed in the language of complex analysis. Math 220 is typically offered in alternate years.

Prerequisites: Math 121 or Math 215

Who should take this course?
Math majors or minors
Physics majors
Students interested in an intermediate-level math course that both reinforces ideas from calculus but also introduces a new and beautiful mathematical world.

Topics covered:
Contour integrals
Complex derivatives
Cauchy's theorem and residue calculations
Elementary conformal mapping
Harmonic functions


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For detailed information about Math 220 this year, please consult the list of Fall Courses and Spring Courses linked to the Mathematics and Statistics Home Page.