Transform Methods for Scientists and Engineers - Math 464 - Fall 2009

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

Lectures: MWF 8:00 am - 8:50 am, MTH 0103

Instructor:    Dr. K. Okoudjou
Contact information: 4116 Mathematics Building; kasso(at)math(dot)umd(dot)edu; Phone: (301) 405-5081.
Office Hours: Monday, Wednesday and Friday 10:00am - 11:00am, or by appointment.

Textbook (Required):   "A First Course in Fourier Analysis" by David W. Kammler, Cambridge University Press 2000 (1st Edition), or 2007 (2nd Edition). ISBN: 978-0-5-2170979-8.

(Recommended) "Introduction to the Mathematics of Medical Imaging", by Charles L. Epstein, SIAM 2008 (ISBN: 978-0-8-9871642-9).

Course web page: http://www-users.math.umd.edu/~kasso/math464FA09.html

Syllabus: Syllabus

Homework and Examinations: Homework assignments are due in class on Mondays, covering the previous two weeks' material. There 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 bi-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, October 9.

Exam 2: Friday, November 13.

Final: Monday, December 14, 10:30am - 12:30am.

Course project: There will also be a final course project. You can choose to work in group of three (3) on these projects. The project can consist on reading and writing a report on topics that are not covered in class. You can also choose any topic in signal processing, physics or chemistry which is related to some of the materials covered in class. In any case, I suggest that you talk to me about your project before making a final choice.

Grading: Midterm exams count 25% each, the final 25%, the homework 20%, and the course project 5%.
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     8/31 - 9/41.1-1.2
1.1, 1.2, 1.5, 1.14, 1.16, 1.19, 1.25
Due:9/14
2     9/7 - 9/111.3-1.4
1.7, 1.8, 1.13,
Due 9/14
3     9/14 - 9/181.4-1.52.1, 2.6, 2.7, 2.8, 2.12, 2.14, 2.22
Due 9/28
4     9/21 - 9/25 2.1-2.3; 3.1-3.33.1, 3.2 a, b, e, l, 3.5 e, g, h, 3.12, 3.19, 3.23
Due 9/28
5     9/28 - 10/24.1 4.2, 4.3, 4.12:b, c, d; 4.14
Due 10/19
6     10/5 - 10/94.2, Review Exam 1 4.23, 4.31, 4.37
Due 10/19
Friday, October 9     Exam 1 Exam1
7     10/12 - 10/164.3-4.4; 6.1
4.39, 4.41, 4.48
Due 10/19
8     10/19 - 10/236.2-6.6Extra HW, 6.4:a, d, 6.6 (just for m=3), 6.25
Due 11/2
9     10/26 - 10/30 8.1-8.3; Uncertainty principles
Laplace Transform
8.1, 8.2, 8.5, 8.12, 8.18
Due 11/2
10     11/2 - 11/6 Laplace Transform
No HW
11     11/9 - 11/13Laplace Transform -Review Exam 2
10.1
No HW
Friday, November 13     Exam 2 Exam 2
12     11/16 - 11/2010.110.1, 10.3, 10.4
Due 12/7
13     11/23 - 11/27 10.1-10.2 10.9, 10.13
Due 12/7
14     11/30 - 12/4 10.3-10.4 10.20, 10.23, 10.25, 10.38
Due 12/7
15     12/7 - 12/11 Selected sections from Chapter 7
Review for the Final Exam
No Homework