640:357 Topics in Applied Algebra
Homework Assignments (Spring, 2017)
Textbook for the course:
Discrete Fourier and Wavelet Transforms by Roe W. Goodman
Available in hard cover, paperback, and e-book format. Go to
World Scientific Publishing
| Date | Lecture | Textbook Section | Homework Problems |
|---|---|---|---|
| 1/19 | 1 | 1.2, 1.3 | 1.9: 1, 2, 3, 4 |
| 1/23 | 2 | 1.4, 1.5.1 | 1.9: 5, 6, 7, 8, 9, 10, 11 |
| 1/26 | 3 | 1.5.2, 1.5.3, 1.6 | 1.9: 12, 13, 14, 15 |
| 1/30 | 4 | 1.7 | 1.9: 16, 17, 18, 19, 20 |
| 2/02 | 5 | 1.8 | 1.9: 21, 22, 23 |
| Due: | 2/06 | Course web page | MATLAB Project #1: Digital Signals and Vector Graphics |
| 2/06 | 6 | 2.2 | 2.7: 1 |
| 2/09 | 7 | 2.3 | 2.7: 2 |
| 2/13 | 8 | 2.4.1, 2.4.2 | 2.7: 3, 4, 5 |
| 2/16 | 9 | 2.4.3, 2.5 | 2.7: 6, 7 |
| 2/20 | 10 | 2.6 | 2.7: 8 |
| 2/23 | 11 | Exam 1 | (closed book) |
| Due: | 2/27 | Course web page | MATLAB Project #2: Convolution and Discrete Fourier Transform |
| 2/27 | 12 | 3.2.1, 3.2.2 | 3.7: 1 |
| 3/02 | 13 | 3.3.1, 3.3.2 | 3.7: 2, 3 |
| 3/06 | 14 | 3.4.1, 3.4.2 | 3.7: 4, 5, 6, 7, 8 |
| 3/09 | 15 | 3.5 | 3.7: 9, 10, 11, 12, 13 |
| Spring Break | |||
| Due: | 3/20 | Course web page | MATLAB Project #3: Haar Wavelet Transform |
| 3/20 | 16 | 3.6.1, 3.6.2 | 3.7: 14 |
| 3/23 | 17 | 3.6.3, 3.6.4, 4.2.1 | 3.7: 15, 4.12: 1 |
| 3/27 | 18 | 4.2.2, 4.2.3, 4.2.4 | 4.12: 2 |
| 3/30 | 19 | 4.2.5, 4.2.6, 4.2.7 | 4.12: 3 |
| Due | 4/03 | Course web page | MATLAB Project #4: Implementation of Wavelet Transforms |
| 4/03 | 20 | 4.3 | 4.12: 4 |
| 4/06 | 21 | 4.4.1, 4.4.2 | 4.12: 5, 6 |
| 4/10 | 22 | 4.4.3, 4.5.1 | 4.12: 7, 8 |
| 4/13 | 23 | Exam 2 | (closed book) |
| 4/17 | 24 | 4.5.2, 4.5.3 | 4.12: 9, 10, 11 |
| 4/20 | 25 | 4.6, 4.7 | 4.12: 12, 13, 14, 15 |
| Due: | 4/24 | Course web page | MATLAB Project #5: Image Compression by Wavelet Transforms |
| 4/24 | 26 | 4.8 | 4.12: 16, 17, 18 |
| 4/27 | 27 | 4.9, 4.10.1 | 4.12: 19 |
| 5/01 | 28 | 4.10.2, 4.10.3 | 4.12: 20 |
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Revised November 30, 2016