640:357 Topics in Applied Algebra
Homework Assignments (Spring, 2009)
Leon = Steven J. Leon, Linear Algebra with Applications (6th
edition)
(Purchase excerpts at Undergraduate Math Office -- Hill Center Room 303)
Don't buy the entire book!
Jensen = A. Jensen and A. la Cour-Harbo, Ripples in Mathematics: The Discrete Wavelet Transform
ISBN # 3-540--41662-5, Springer-Verlag, 2001
(Purchase entire book at Rutgers U. Store or order on-line.)
Goodman = Roe Goodman, Discrete Fourier Transform and Wavelet Transforms
(Print from course web page.)
| Date | Lecture | Reading | Homework Problems (* = answer in back of book) |
|---|---|---|---|
| 1/22 | 1 | Leon 3.1-3, Goodman 1.1-2 |
Leon 3.1: 4, 5, 6, 15, 16;
Leon 3.2: 3*, 5*, 6*, 8, 14*, 15, 18, 19, 20
Leon 3.3: 5, 6*, 7, 8, 9*, 10, 14, 15, 16, 17; Goodman 1.5: 1, 2, 4, 5 |
| 1/26 | 2 | Leon 3.4-5 | Leon 3.4: 11*, 12*, 13*, 14*, 15*, 16;
Leon 3.5: 7*, 9*, 10, 11
Goodman 1.5: 6 |
| 1/29 | 3 | Leon 4.1-2 | Leon 4.1: 1*, 2, 3, 4*, 5*, 6*, 8*, 9*, 10*, 16*, 18*,
19, 20, 21, 22*, 24;
Leon 4.2: 1*, 2*, 3*, 5*, 6*, 11*, 12*, 13*; Goodman 1.5: 7 |
| 2/02 | 4 | Leon 5.4 Goodman 1.3 |
Leon 5.4: 3*, 4*, 7*, 8*, 9, 10, 11*, 15*, 16*, 24, 29
Goodman 1.5: 3, 8, 9 |
| 2/05 | 5 | Leon 5.5 Goodman 1.3 |
Leon 5.5: 1*, 2*, 3*, 4*, 6*, 7, 25*, 26, 28
Goodman 1.5: 10 |
| Due: | 2/09 | Course web page | MATLAB Project #1: Visualizing Linear Transformations |
| 2/09 | 6 | Leon 5.5 Goodman 2.1 |
Leon 5.5: 8 |
| 2/12 | 7 | Leon 5.5 Goodman 2.1 |
Leon 5.5: 9*; Goodman 2.4: 1 |
| 2/16 | 8 | Goodman 2.2 | Goodman 2.4: 2 |
| 2/19 | 9 | Goodman 2.2 | Goodman 2.4: 3 |
| 2/23 | 10 | Leon 5.5 Goodman 2.3 |
Leon 5.5: 10 Goodman 2.4: 4 |
| 2/26 | 11 | Exam 1 | (closed book) |
| Due: | 3/02 | Course web page | MATLAB Project #2: Convolution and Discrete Fourier Transform |
| 3/02 | 12 | Jensen 2.1-2, 3.1-2 Goodman 3.1 |
Jensen: (page 10) 2.1, 2.2
Goodman 3.6: 1 |
| 3/05 | 13 | Jensen 3.5, 5.1-2 Goodman 3.2 |
Jensen: (page 50) 5.1, 5.2 |
| 3/09 | 14 | Jensen 3.4 Goodman 3.3 |
Jensen: (page 24) 3.1; (page 50) 5.3
Goodman 3.6: 2, 3 |
| 3/12 | 15 | Jensen 5.3 Goodman 3.4 |
Goodman 3.6: 4 |
| Spring Break | |||
| Due: | 3/23 | Course web page | MATLAB Project #3: Haar Wavelet Transform |
| 3/23 | 16 | Jensen 6.1 Goodman 3.5 |
Goodman 3.6: 5 |
| 3/26 | 17 | Jensen 6.2, 7.1 Goodman 3.5, 4.1 |
Goodman 3.6: 6 |
| 3/30 | 18 | Jensen 7.1 Goodman 4.1 |
Jensen: (page 86) 7.1
Goodman 4.8: 1 |
| 4/02 | 19 | Jensen 7.2 Goodman 4.2 |
Jensen: (page 86) 7.2
Goodman 4.8: 2 |
| Due | 4/06 | Course web page | MATLAB Project #4: Implementation of Wavelet Transforms |
| 4/06 | 20 | Jensen 7.2 Goodman 4.3 |
Jensen: (page 86) 7.4
Goodman 4.8: 3 |
| 4/09 | 21 | Jensen 7.3 Goodman 4.3 |
Jensen: (page 86) 7.6
Goodman 4.8: 4 |
| 4/13 | 22 | Jensen 7.3, 12.4 Goodman 4.4 |
Jensen: (page 86) 7.7 |
| 4/16 | 23 | Exam 2 | (closed book) |
| 4/20 | 24 | Jensen 12.4.1-2 Goodman 4.4 |
Goodman 4.8: 5, 6 |
| 4/23 | 25 | Jensen 7.3, 12.4 Goodman 4.4 |
Jensen: (page 209) 12.4 Goodman 4.8: 7, 8 |
| Due: | 4/27 | Course web page | MATLAB Project #5: Image Compression by Wavelet Transforms |
| 4/27 | 26 | Jensen 7.4-5 Goodman 4.5 |
Jensen: (page 86) 7.10
Goodman 4.8: 9 |
4/30 | 27 | Jensen 7.8, 12.5 Goodman 4.7 |
Jensen: (page 86) 7.11,
(page 209) 12.4
Goodman 4.8: 10 |
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