The referred problems are from the textbook "Applied Differential Equations. The Primary Course" by Vladimir A. Dobrushkin (CRC Press, 2015, ISBN 978-1-4398-5104-3)
https://www.crcpress.com/product/isbn/9781439851050
| Week |
Material to be covered |
hw |
solution
|
Sections |
Supplementary Problems
|
| Sep. 8 |
Classes begin Sep.8 |
hw1 |
|
7.1
|
all problems from section 7.1 |
| Sep. 13 |
Matrices |
|
|
|
|
| Sep. 20 |
Properties of matrices |
hw2
|
|
7.2
7.3
7.5 |
9 -- 16, 17 -- 27
15, 16, 20 -- 26
20, 21,22,23 |
| Sep 27 |
Eigenvectors |
hw3
|
|
7.3
7.6
7.8
|
1 -- 12, 15, 19 -- 28
|
| Oct. 4 |
Linear equations
|
hw4
|
|
7.5 |
1,2,3,7,9,21,22,23,35,37,29 |
| Oct. 11 |
Test 1,
Due March 11
|
|
|
7.9
|
2,3,5,6,8-13,15-17,22,23
|
| Oct. 18 |
Autonomous systems and stability |
|
|
9.1
9.2
9.3 |
11 -- 15;
1 -- 4, 7 -- 10
1 -- 6, 7, 8 |
| Oct. 25 |
Compiting species and preditor-pray
equations
|
|
|
9.4
9.5 |
1--17odd,25,26 |
| Nov. 1 |
Liapunov second method |
|
|
9.6 |
1-21odd,27 |
| Nov 8 |
|
|
|
|
Thanksgiving Nov 24 |
| |
Exam 2 |
|
|
|
November |
| Nov. 15 |
Lorenz equation |
hw5 |
|
9.8 |
1--25 |
| Nov. 29 |
Sturm-Liouville problems |
|
|
11.2 |
1,2,7,8,11,12,15--17,21-24 |
| Dec. 1 |
Fourier series |
hw6 |
|
10.3
10.4 |
2,3,4,5,9,11
1,5,7,8,15,23c,24,26,30,31 |
| Dec. 8 |
Separation of variables |
hw7 |
|
10.5
10.6 |
1,2,5,6,7,8,14-18,21,24,25
1,7,9,26,27,42-60,74,75,77 |
| Dec. 15 |
Applications |
|
|
10.7
10.8 |
1,3,5,7,9,11,14,15,21
1,3,4,5,7,9,11,12,13,15,16 |
| Dec 12 |
Last day of class |
|
|
|
|
| Dec 20 |
Final exam |
|
|
|
Final exam due 9am |
|
 |
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