Fourier Series & Wavelets

Math 414-502 (MWF 9:10-10:00...BLOC 164) - Spring 2009

Instructor: J. D. Ward
Office: 305 Milner Hall
Phone: 845-1169
Office Hours: WF 3:30-5:00 or 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: purchase at Copy Corner:694-2679(across from Target in C.S.)

Programming language: Experience with MATLAB would be helpful.

Inner product spaces and Fourier series (4 weeks; chapters 0 & 1)
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 ( May 11, 8:00-10:00). 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.

Note: Q-drop deadline is April 6

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.

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."

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 at the end of the semester (May 12). You may work in small groups (at most 3) but again a clear statement must be made that specifies the contributions of each member of the group. In addition to a written version of the project, each group will make a brief oral report to the class.

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Homework Problems