Applied Harmonic Analysis

Math 658-200 -- Summer II 1999

Instructor: Dr. Francis J. Narcowich

Office: 302 Milner Hall

E-mail: fnarc@math.tamu.edu

Phone: 845-7369

URL: /~francis.narcowich/

Office Hours: M-Th 3:45-4:45, and by appointment.

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. Prerequisite: MATH 657.

Time & Place

M-F 2-3:35, BLOC 156.

Required Text

J. J. Benedetto, Harmonic Analysis and Applications, CRC Press, Boca Raton, FL, 1997.

Tests

Midterm, Wednesday, July 21 Final Examination, Tuesday, August 10, 3:30-5:30

Schedule

Week	Monday	Tuesday	Wednesday	Thursday	Friday
7/4		1.1-1.3	1.3-1.7	1.7-1.9	1.10
7/11	2.1-2.2, 2.4	2.7.8-2.7.10	Rn-FT, 3.1	3.3-3.4	3..4-3.5, 3.10
7/18	3.10, 3.8	3.8-3.9	Midterm	DCT	Radon transform
7/25	Filters	Surface fitting	RBFs	RBFs, PBFs	Neural nets
8/1	S n-1-FT	S n-1-FFT	SBFs	Geodesy	Review
8/8		Final Exam, 3:30-5:30 pm

Grading. Your grade will be based on homework, a midterm test, and a final exam. The homework will count for 10% of your grade, the midterm for 40%, and the final exam will count for the remaining 50%. 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.

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.''