| 1 | Chap. 1 Introduction to Differential Equations | |
| 2 | Sections 2-1 and 2-6, Solution Curves and A Numerical Method | |
| 3 | Sections 2-2 and 2-3 Separable Variables and Linear Equations | |
| 4 | Section 2-3 Linear Equations | |
| 5 | Chap. 3 Modeling with 1st Orer Differential Equations | |
| 6 | Section 2-4 Exact Equations | |
| 7 | Sections 2-4 and 2-5 Exact Equations and Solutions by Substitutions | |
| 8 | Section 4-1 Preliminary Theory for Linear Higher Order Differential Equations | |
| 9 | Section 4-2 Reduction of Order | |
| 10 | Sections 4-3 and 4-4 Solving the Linear and Constant Coefficient DE | |
| 11 | Section 4-5 Annilator Approach | |
| 12 | Sections 4-6 and 4-7 Variation of Parameters and Cauchy-Euler Equation | |
| 13 | Section 5-1 Applications of Linear DE | |
| 14 | Sections 4-9 and 4-10 Systems of Linear DEs; Nonlinear DEs | |
| 15 | Section 5-3 Nonlinear Models | |
| 16 | Chap. 8 Systems of Linear First-Order Differential Equations | |
| 17 | Sections 6-1 and 6-2 Review of Power Series and Solutions About Ordinary Points | |
| 18 | Section 6-2 Solutions about Ordinary Points | |
| 19 | Sections 6-3 and 6-4 Solutions About Singular Points | |
| 20 | Section 7-1 Definition of the Laplace Transform | |
| 21 | Sections 7-2 and 7-3 Inverse Laplace Transforms and Properties of Laplace Transforms (I) | |
| 22 | Section 7-4 Properties of Laplace Transforms (II) | |
| 23 | Sections 7-5 and 7-6 The Dirac Delta Function and Systems of Linear DEs | |
| 24 | Section 11-1 Orthogonal Functions | |
| 25 | Sections 11-2 and 11-3 Fourier Series, Fourier Cosine and Sine Series | |
| 26 | Section 11-3 Fourier Cosine and Sine Series | |
| 27 | Sections 14-3 and 14-4 Fourier Integral and Fourier Transforms | |
| 28 | Section 14-4 Fourier Transforms | |
| 29 | Sections 12-1, 12-2, 12-4 Separation of Variables for Solving Partial Differential | |
| 30 | Section 12-5 Laplace’s Equation | |