Fourier Series & Wavelets

Math 414 - Spring 2004 (Web-based)

Instructor: Dr. Francis J. Narcowich
Office: 302 Milner Hall
E-mail: fnarc@math.tamu.edu
Phone: 845-7369
URL: /~francis.narcowich/
Office Hours: MW 1-2:30, and by appointment.

Catalogue Description: MATH 414. Fourier Series & Wavelets. Fourier series and wavelets with applications to data compression and signal processing. Prerequisite: MATH 222 or MATH 304 or MATH 311

Required Text: A. Boggess and F. J. Narcowich, A First Course in Wavelets with Fourier Analysis, Prentice Hall, Upper Saddle River, NJ, 2001.

Required program: Matlab. (This links to the education page for Matlab.)

Syllabus
Fourier series (3 weeks; chapter 1)
Fourier transform (2 weeks; chapter 2)
Discrete Fourier analysis (1.5 week; chapter 3)
Haar wavelet (2 weeks; chapter 4)
Multiresolution analysis (2.5 weeks; chapter 5)
Daubechies wavelets (2 weeks; chapter 6)
Other wavelet topics (1 week; chapter 7)

Grading System & Tests: Your grade will be based on a project, homework, and two tests ( March 5 & April 23). The project will count for 25% of your grade, homework for 25%, and each test for 25%. Your letter grade will be assigned this way: 90-100%, A; 80-89%, B; 70-79%, C; 60-69%, D; 59% or less, F.

Copying Course Materials: ``All printed hand-outs and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.''

Homework and Projects: You may consult with others on homework problem sets, BUT only submit work which is in your own words AND be sure to cite any sources of help (either texts or people). Late homework will not be accepted - unless you have my permission. The project will be due at the end of the semester.