Fourier Series & Wavelets

Math 414-501 — Spring 2009

Instructor: Dr. Francis J. Narcowich
Office: 302 Milner Hall
E-mail: fnarc@math.tamu.edu
Phone: 845-7369
URL: /~francis.narcowich/
Office Hours, MWF 9:30-10:30, 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. Copies are avialable at Copy Corner, which is across the street from Target's in College Station.

Time & Place: MWF 12:40 pm - 1:30 pm, ZACH 223A

Programming language: Experience with MATLAB would be very helpful.

Syllabus
Fourier series and inner products (4 weeks; chapter 1, parts of chapter 0)
Fourier transform (2 weeks; chapter 2)
Discrete Fourier analysis (1 week; chapter 3)
Haar wavelet (1.5 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, two in-class tests ( February 25 & April 8), and a final exam ( 10:30 am - 12:30 pm, May 11). The project will count for 20% of your grade, homework for 20%, each in-class test for 20%, and the final for 20%. Your letter grade will be assigned this way: 90-100%, A; 80-89%, B; 70-79%, C; 60-69%, D; 59% or less, F.

Make-up Policy: I will give make-ups (or satisfactory equivalents) only in cases authorized under TAMU Regulations. In borderline cases, I will decide whether or not the excuse is authorized. Also, if you miss a test, contact me as soon as possible.

Homework and Projects: You may consult with each other 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. The project will be due on May 12. You will work in groups of 2 or 3. Each group will also make a brief oral report to the class.

Academic Integrity

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."

Aggie Honor Code:   "An Aggie does not lie, cheat, or steal or tolerate those who do."

Americans with Disabilities Act Policy Statement: "The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe that you have a disability requiring an accommodation, please contact the Department of Student Life, Services for Students with Disabilities, in Room 126 of the Koldus Building or call 845-1637."

Updated 1/20/09.