# Fourier Series and Wavelets

## MWF 9:10-10:00 BLOC 161

### Course Description:

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

### Course Information:

 Instructor: Dr. Matthew Young Office Hours: Tu 10-12, F 10:15-11:15. Office Phone: 845-7862 Office: 225 Milner E-mail: myoung (at) math dot tamu d0t edu Textbook: The required textbook is A First Course in Wavelets with Fourier Analysis, by Boggess and Narcowich, Wiley & Sons. Course 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) Prerequisites: Prerequisite: MATH 222 or MATH 304 or MATH 311 Course Webpage: http://www.math.tamu.edu/~myoung/classes/414spring2011.html

### Exam Schedule:

 There will be 2 in-class exams during the semester, as well as a cumulative final exam. The dates and times are listed below.

Exam 1

Exam 2

Final Exam

Date/Time

Monday, February 21

Wednesday, March 30

Monday, May 9, 8-10 AM.

 Your final grade will be determined by the total number of points obtained on exams and homework. Out of 700 total points, each component contributes to your grade as follows:

Component

Points

Homework

100

Exam 1

200

Exam 2

200

Final Exam

200

 The following grade distribution will be used in determining final course grades:

Percentage of Total Points

A

90.0%-100.0%

B

80.0%-89.9%

C

70.0%-79.9%

D

60.0%-69.9%

F

0.0%-59.9%

### Homework:

 Homework will be collected once per week for a grade. Homework assignments will be sent via email so check your neo account regularly.