Finite Fourier Analysis

Math 189V, Second Half of Fall 2017, Harvey Mudd College
Prof. Orrison


This topics course will focus on the use of representations of finite abelian groups to analyze complex-valued functions defined on finite sets. Possible topics include discrete Fourier transforms, fast Fourier transforms, and related applications to statistics and digital signal processing. Prerequisite: Math 171, or permission of the instructor.


Michael Orrison ("mylastname", SHAN 3412.
Office Hours: Mondays 3:00-4:00 PM, Thursdays 1:30-2:30 PM, and by appointment (just email me).

Required Textbook



There will be weekly homework (70%), and a final project and/or take-home final exam (30%). The grading scale will be roughly the following: A 90%-100%, A- 85%-89%, B+ 80%-84%, B 70%-80%, B- 65%-69%, and so on. Your overall homework score will be the median (rather than the average) of your individual homework scores. However, if you receive more than two zeros on your homework, then your homework grade will be reduced by five percent for each zero.


You are encouraged to discuss the homework with other members of the class, and it is appropriate to acknowledge the assistance of others. You will, however, be expected to write up your solutions on your own, and you should use the Math Department's suggested homework format. Unless stated otherwise, homework will be due at the beginning of class on Tuesdays.

Academic Accommodations

To request academic accommodations due to a disability, HMC students should contact Deborah Kahn (, our Coordinator for Student Disability Resources, as soon as possible. Students from the other Claremont Colleges should contact their home college's disability officer.