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Lect
1 |
Lect
2 |
Lectures |
HW
- Sections |
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Sections |
Topics |
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1 |
21-Jan |
26-Jan |
1.1,1.2,2.2,2.3 |
Solutions
of DEs, IVPs, Separable & Linear DE |
1.2,2.2,2.3 |
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2 |
28-Jan |
2-Feb |
2.4,2.6,4.1,4.2 |
Exact,
Bernoulli DE, 2nd order |
2.4,2.6,4.2 |
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3 |
4-Feb |
9-Feb |
4.3,4.4 |
2nd
order - constant coefficients |
4.3,
PEx I |
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4 |
11-Feb |
17-Feb |
Ex
I,4.4,4.5 |
Undetermined
coefficients |
4.4 |
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5 |
18-Feb |
23-Feb |
4.6,8.5 |
Variation
of parameters, Cauchy-Euler DE |
4.4 |
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6 |
25-Feb |
2-Mar |
7.2,7.3 |
Laplace
transforms |
4.6,8.5 |
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7 |
4-Mar |
9-Mar |
7.4,7.5 |
Solving
2nd order IVP with Laplace transforms |
7.2,7.3 |
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8 |
11-Mar |
23-Mar |
8.2,8.3 |
Review
of infinite series, Taylor series method |
7.4,7.5,
PEx II |
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9 |
25-Mar |
30-Mar |
Ex
II, 8.3 |
Series
solution near an ordinary point |
8.2,8.3 |
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10 |
1-Apr |
6-Apr |
11.2 |
Eigenvalues
and Eigenfunctions |
8.3,11.2 |
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11 |
8-Apr |
13-Apr |
10.3,10.4 |
Orthogonal
expansions, Fourier sine & cosine series |
11.2,10.4 |
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12 |
15-Apr |
20-Apr |
10.2,10.6 |
Separation
of variables for PDE |
10.2,10.6 |
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13 |
22-Apr |
27-Apr |
10.6,
Ex III |
Wave
Equation |
PEx
III,10.4,10.5 |
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14 |
29-Apr |
4-May |
10.5,
Review |
Heat
Equation, Review |
10.5 |
Text: Fundamentals of Differential Equations and Boundary Value Problems, Sixth Edition by R. Kent Nagle, Edward B. Saff, and Arthur David Snider. The book is published by Addison Wesley. ISBN: 13: 978-0-321-74774-7 ISBN: 10: 0-321-74774-7.