| Topics | Week | Related Sections |
| Solutions of DEs, IVP's, Separable Equations | 1 | 1.1, 1.2, 2.2 |
| Linear and Exact Equations | 2 | 2.3, 2.4, 2.6 (Bernoulli Equation) |
| Differential Operators, Properties of Solutions Constant Coefficient DEs | 3 | 4.1, 6.1, 4.2 |
| Constant Coefficient DEs (continued) | 4 | 4.2, 4.3 |
| Undetermined Coefficients | 5 | 4.4, 4.5 |
| Variation of Parameters, Cauchy-Euler Equation | 6 | 4.6, 8.5 |
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| Review of infinite series, Taylor series, Taylor series method | 9 | 8.2 |
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| Orthogonal expansions, Fourier cosine and sine series | 11 | 10.3 , 10.4 |
| Separation of variables | 12 | 10.2 |
| Wave and Heat Equations | 13 | 10.6, 10.5 |
| Review | 14 |
Text: Fundamentals of Differential Equations and Boundary Value Problems, Fifth Edition by R. Kent Nagle, Edward B. Saff, and Arthur David Snider. The book is published by Addison Wesley. ISBN: 13: 978-0-321-61321-9 ISBN: 10: 0-321-61321-X.