Instructor: Dr. Thomas Carr
Contact Information: office- Clements 135, phone- 768-3460, email- tcarr@smu.edu

Office Hours: TTh 9:30-11:00 & 12:30-2:00.
Except in unusual circumstances I guarantee that I will be in my office during the designated office hours. You are always welcome to stop by or call at other times to see if I am available.

Textbook: A First Course in Wavelets with Fourier Analysis, by A. Boggess and F.J. Narcowich.

• I highly recommend the book ``The World According to Wavelets, The Story of a Mathematical Technique in the Making,'' by Barabara Hubbard. You can often find this at Borders or Barnes and Noble and certainly on Amazon.com. It is ``easy'' reading and provides lots of insight and explanation of ideas.
• Additional texts are on reserve in the library.
• The lectures will draw material from many sources.

Prerequisites: Math 3353, Linear Algebra and Math 3315, Scientific Computing. Math 3337, Advanced Math, is not required but would be helpful.

Grading Policy: Homework =  30 %


Two in-class exams = 2  20 %=40% 


Three-hour final exam = 30 %

Homework will be assigned in class on a weekly basis. Late homework will not be accepted. Completing and understanding the homework assignments are critical for success in the class. The lowest homework grade will be dropped.

Exam Dates listed below are tentative and will be confirmed in class. Under certain circumstances and at the discretion of the instructor students may reschedule an exam. Exam 1 Thursday, September 25. Exam 2 Thursday, October 30. Final Exam Friday, December 12, 11:30-2:30.

Please note the following

• Late homework will not be accepted.
• Makeup tests will not be given.
• There is no extra credit work.

Web Page: faculty.smu.edu/tcarr - A section of my web page is devoted to providing additional resources for math 5332. In there you will find: My weekly class and office hours schedule. A copy of this syllabus. Homework assignments and solutions. Exam solutions. MATLAB programs. Make sure you can access these facilities and view the files ASAP; do not wait until the night before the first exam and find you have a problem.

Honor Code: Please review the Honor Code documented in the SMU Undergraduate or Graduate Bulletin. The highest level of academic honesty and integrity will be expected.

Disability Accommodations: If you need academic accommodations for a disability, you must first contact Ms. Rebecca Marin, Coordinator, Services for Students with Disabilities (214-768-4563) to verify the disability and to establish eligibility for accommodations. Then you should schedule an appointment with the professor to make appropriate arrangements.

Course Description:

• Haar Wavelet: introduction to ideas.
• Math background: Linear algebra, complex numbers, function spaces, Laplace transform and -transform.
• Fourier analysis: continuous and discrete.
• Time-frequency analysis: windowed Fourier transform.
• Time-frequency analysis: Wavelet Transform.
• Multiresolution analysis.
• Wavelets and filter banks.
• Applications to signal analysis and boundary-value problems throughout course.