Transform Methods for Scientists and Engineers - Math 464 - Spring 2007

Prerequisite: MATH 246 and 400-level mathematics or electrical engineering courses, perhaps taken concurrently, or permission of instructor.

Lectures: MWF 2:00 pm - 2:50 pm, MTH B0423

Instructor:    Dr. Kasso Okoudjou
Contact information: 4116 Mathematics Building; kasso@math.umd.edu; Phone: (301) 405-5081.
Office Hours: Monday, Wednesday 12:00pm - 1:00 pm, Friday 1:00 p.m. - 2:00 p.m., or by appointment.

Textbook:   "Harmonic Analysis and Applications", by J. J. Benedetto, published by CRC, (1997), ISBN 0849378796.

Course web page: http://www.math.umd.edu/~kasso/math464sp07.html

Syllabus: Syllabus

Homework and Examinations: Homework assignments are due in class on Fridays, covering the previous week's material. They will be graded and returned to you. No late homework will be accepted. It is OK to work on the problem sets in cooperation with others, but you must write up the solutions by yourself. In addition to the weekly homework assignments, there will be two (in class) midterm exams and a final exam .
The tentative schedule for the exams is:
Exam 1: Friday, March 2.

Exam 2: Friday, April 13.

Final: Wednesday, May 16; 1:30-3:30 pm

Grading: Midterm exams count 25% each, the final 30%, and the homework 20%.
Tentatively, letter grades will be based on your accumulated points at the end of the semester, according to the following scheme: 90%-A; 80%-B; 70%-C; 50%-D.

Attendance and absences : You are responsible for the material covered in class, whether you attend or not. You are also responsible for the announcements made during class; they may include changes in the syllabus.

If you need accommodations because of a disability, please inform me immediately.

Tentative Course Outline & Homework assignments
Sections numbers and Homework numbers are from the Textbook


WeekReading Homework
1     1/24 - 1/261.1-1.3
1.1, 1.2, 1.3, 1.8
Due 2/2
2     1/29 - 2/21.1-1.3
1.1, 1.2, 1.3, 1.8
Due 2/2
3     2/5 - 2/91.4-1.61.6, 1.9, 1.11, 1.12, 1.13
Due 2/9
4     2/12 - 2/16 1.7-1.91.20, 1.22, 1.25, 1.28
Due 2/16
5     2/19 - 2/241.10 1.35, 1.50, 1.51
Due 2/26
6     2/26 - 3/2Review for Exam I
3.1
No Homework
No Homework
Friday, March 2     Exam 1 Exam1
7     3/5 - 3/93.1; 3.33.1: a), g), k); 3.2: a), g), k); 3.5
Due 3/12
8     3/12 - 3/163.3, 3.4, 3.83.7, 3.8, 3.14
Extra HW
Due 3/26
    3/19 - 3/23 Spring Break Spring Break
9     3/26 - 3/30 3.8, 3.93.17; 3.19 a); 3.20, 3.21
Due 4/2
10     4/2 - 4/6 3.10
Laplace Transform
HW 7
Due 4/9
11     4/9 - 4/13Laplace Transform
Review for Exam 2
No Homework
No Homework
Friday, April 13     Exam 2 Exam 2
12     4/16 - 4/20The Haar wavelet HW 8
Due 4/23
13     4/23 - 4/27 Haar Wavelet
MRA
HW 9
Due 4/30
14     4/30 - 5/4 MRA
Fourier transform criteria
HW 10
Due 5/7
15     5/7 - 5/9 Daubechies' wavelets
Review for the Final Exam
No Homework