An introduction to Applied Mathematics
From the course description....
Introduction to ideas and techniques used in solving problems
arising in a variety of physical settings. Stability of
nonlinear systems of ODE's. Sturm-Liouville problems and
Green's functions. The wave, heat and Laplace equations.
Elementary analysis of some nonlinear PDE's. Elementary
perturbation theory.
Schedule
| Week |
Lecture |
Description |
Section |
Exam |
Recommended
problems |
|
| 1 |
02/07 |
Tu |
1. Orthogonal series (Matlab script) |
4.1 |
[4.1.1]
1, 2, 6 & 7 |
|
| 02/09 |
Th |
[4.1.2] 1, 2, 3 & 5 |
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| 2 |
02/14 |
Tu |
(Topic 1
ends) |
|
||
| 02/16 |
Th |
2.
Eigenvalues of elliptic operators |
4.2 |
[4.2] 1, 2, 3, 4, 7, 8
& 10 |
||
| 3 |
02/21 |
Tu |
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| 02/23 |
Th |
Quiz #1 (topics 1 and 2) | ||||
| 4 |
02/28 |
Tu |
3. Green's functions and elliptic PDEs |
4.4 |
[4.4] 1, 2, 6, 7 & 8 |
|
| 03/01 |
Th |
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| 5 |
03/06 |
Tu |
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| 03/08 |
Th |
Quiz #2 |
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| 6 |
03/13 |
Tu |
4. Diffusion |
6.1, 6.2 & 6.4 |
[6.1] 1, 7, 9 |
|
| 03/15 |
Th |
[6.2] 2, 3, 5, 7,
9, 10 & 13 |
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| 7 |
03/20 |
Tu |
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| 03/22 |
Th |
|
Quiz #3 |
|||
| SPRING BREAK |
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| 8 |
04/03 |
Tu |
5. Linear waves, acoustic
and elastic |
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| 04/05 |
Th |
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| 9 |
04/10 |
Tu |
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| 04/12 |
Th |
Quiz #4 |
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| 10 |
04/17 |
Tu |
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| 04/19 |
Th |
|
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| 11 |
04/24 |
Tu |
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| 04/26 |
Th |
EXAM (click here to see the quizzes) |
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| 12 |
05/01 |
Tu |
6. The Fourier Transform |
(part
2 of Quiz #4 due) |
||
| 05/03 |
Th |
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| 13 | 05/08 |
Tu |
PROJECTS |
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| 05/10 |
Th |
|
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| 14 |
05/15 |
Tu |
PROJECTS |
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| |
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