**Instructor: Professor J. D. Ward****Office:**305 Milner Hall**E-mail:**jward@math.tamu.edu**Phone:**845-1169**URL:**http://www.math.tamu.edu/~jward/**Office Hours**: Tuesday, 1:00-2:00 and Wednesday, 1:00-2:30 or by appointment.**Final Exam**: Friday, Dec. 10 12:30-2:30 BLOC 624

** Required Text:**
Gerald B. Folland, * FOURIER ANALYSIS AND ITS APPLICATIONS*

** Evaluation**

- Homework
*35%* - Midterm Exam
*25%* - Project
*15%* - Final Exam
*25%*

**Catalogue Description:** **Applied Harmonic Analysis. (3-0). Credit 3.** Fourier series and Fourier Transform;
discrete(fast) Fourier transform; discrete cosine transform; local cosine transform; Radon transform; filters; harmonic analysis on the sphere;
radial, periodic, and spherical basis functions; applications. Prerequisites: MA 304, MA 308 or equivalent.

** General Policy:**
Make-ups (or satisfactory equivalents) will be given only in cases
authorized under TAMU Regulations. In borderline cases, your
instructor will decide whether or not the excuse is authorized. Also,
if you miss a test, contact your instructor immediately. * 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.*

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 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.

Academic Integrity Statement Please refer to the Honor Council Rules and Procedures on the web for information: http://www.tamu.edu/aggiehonor

- 1---FOURIER SERIES: 2-3 weeks
- 2---FOURIER TRANSFORMS; DFT; FFT: about 3 weeks
- 3---SPHERICAL HARMONICS; RADON TANSFORM: 2-3 weeks
- 4---RELATED TRANSFORMS, SERIES AND APPLICATIONS: includes filters, sampling theorem, RKHS, radial basis functions, Geodesy. These topics will be discussed in the remainder of the course. I will also include possible additional topics suggested by students.

- Assignment 1(due Tues. Sept. 21): P.37: 1, 2, 3, 4, 5: p.43: 5, 6
- Assignment 2(due Thurs. Sept. 30): p. 213: 2, 3, 4, 5
- Assignment 3(due Thurs. Oct. 14): p. 224: 2, 5, 7, 12; p. 225: 13; p. 213: 8; p. 234: 1, 3, 4, 6, 8
- Mid-Term Exam Thurs. Oct. 28
- Assignment 4(due Tues. Nov. 2) p. 236: 9, 10; p. 247: 1, 8, 11
- Assignment 5(due Tues. Nov. 16) p. 265: 1-6, 8, 9, 17; p. 273: 2, 3, 10
- Assignment 6(due Tues. Nov. 30) p. 278: 3, 7, 10
- Assignment 7(be able to do for final exam) p. 166: 1; p. 173: 3, 4, 5, 6, 9