| Week |
Material to be covered |
hw |
solution |
Sections |
Supplementary Problems
|
| June 22 |
Classes begin June 22 |
hw1 |
|
7.1
|
all problems from section 7.1 |
| June 23 |
Matrices |
hw2
|
|
7.2
7.3
7.5 |
9 -- 16, 17 -- 27
15, 16, 20 -- 26
20, 21,22,23 |
| June 24 |
Eigenvectors |
hw3
|
|
7.3
7.6
7.8
|
1 -- 12, 15, 19 -- 28
|
| June 25 |
Linear equations
|
hw4
|
|
7.5 |
1,2,3,7,9,21,22,23,35,37,29,33 |
| June 29 |
Review
|
|
|
7.9
|
2,3,5,6,8-13,15-17,22,23
|
| |
Test 1 |
|
|
|
|
| July 6 |
Autonomous systems and stability |
hw5 |
|
9.1
9.2
9.3 |
11 -- 15;
1 -- 4, 7 -- 10
1 -- 6, 7, 8 |
| July 9 |
Compiting species and preditor-pray
equations
|
hw6
|
|
9.4
9.5 |
1--17odd,25,26 |
| July 13 |
Liapunov second method |
hw7 |
|
9.6 |
1-21odd,27 |
| July 15 |
Lorenz equation |
hw8 |
|
9.8 |
1--25 |
| July 16 |
Test 2 |
|
|
Review |
|
| July 20 |
Sturm-Liouville problems |
|
|
11.2 |
1,2,7,8,11,12,15--17,21-24 |
| July 21 |
Fourier series |
hw9 |
|
10.3
10.4 |
2,3,4,5,9,11
1,5,7,8,15,23c,24,26,30,31,32,35 |
| July 23 |
Separation of variables |
hw10 |
|
10.5
10.6 |
1,2,5,6,7,8,14-18,21,24,25
1,7,9,26,27,42-60,74,75,77,80 |
| July 27 |
Wave Equations |
|
|
10.7 |
1 -- 12, 15, 16, 22, 23, 24 |
| July 28 |
Elliptic Equations |
|
|
10.8 |
1,3,4,5,7,9,11,12,13,15 |
| July 29 |
Applications |
|
|
|
Review |
| Aug 4 |
Last day of class July 30 |
|
|
|
Test |
|
 |
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|
