| 1 | Introduction to Applications of First-Order Differential Equations (Orthogonal and Oblique Tragectories) | [1] p.53-82 [2] p. 71-110 |
| 2 | Applications of First-Order Differential Equations (Problems in Mechanics) | [1] p.53-82 [2] p. 71-110 |
| 3 | Applications of First-Order Differential Equations (Rate Problems,Population Growth, Mixture Problems, Heat Problems ) | [1] p.53-82 [2] p. 71-110 |
| 4 | Applications of Second-Order Differential Equations ( Basics of Vibration Analysis and Its Classification) | [1] p.142-155 [2] p. 189-224 |
| 5 | Basics of Vibration Analysis(Free-Undamped Motion, Free Damped Motion and Forced Motion) | [1] p.142-155 [2] p. 189-224 |
| 6 | Applications of Second-Order Differential Equations ( Mechanics and Heat transfer Problems) | [1] p.163-169 [3] p.133-157 |
| 7 | Laplace Transform (Definition, Existence, and Basic Properties) | [1] p.332-363 [2] p.480-547 |
| 8 | The Inverse Transform and the Convolution | [1] p.332-363 [2] p.480-547 |
| 9 | Laplace Transform Solution of Linear Differential Equations With Discontinous Nonhomogenous Terms | [1] p.332-363 [2] p.480-547 |
| 10 | Initial and Boundary Condition Problems | [1] p.363-414 |
| 11 | Fourier Series of Trigonometric Fuctions | [4] p.625-745 |
| 12 | Partial Differential Equations (Definition, and Basic Properties) | [4] p.625-745 |
| 13 | 1D-2D Wave Equations | [1] p.457-497 [3] p.231-294 |
| 14 | 1D-2D Heat Equations | [1] p.457-497 [3] p.231-294 |