| 1 | Sustainability and Development Examples, Differential Equations, The Definition and Classification, Order and Degree of Differential Equations,Solutions of Differential Equations: The Integral Curve, İmplicit-Explicit Solution, Particular Solution, The General Solution, Singular Solution, İnitial Value Problem. Derivation of Differential Equations. | Textbook 1 (Chapter 1) |
| 2 | First order Differantial equations: Separable Differential Equations, Variables that can be converted Separable Differential Equations Differential Equations, Homogeneous Functions, Homogeneous Differential Equations, Becomes homogeneous differential equations that can be converted. | Textbook 1 (Chapter 2) |
| 3 | Linear Equations, Method of Integrating Factors, Method of Variation Parameters. | Textbook 1 (Chapter 2) |
| 4 | Bernoulli Equations, Exact Equtions,The Method of İntegrating Factors Based on a Single Variable. | Textbook 1 (Chapter 2) |
| 5 | Riccati Equations. | Textbook 1 (Chapter 2) |
| 6 | Second Order Linear Equations: Homogeneous Equations with Constant Coefficients, Characteristic Equation, Fundamental Solutions of Linear Homogeneous Equations, Linear independence and Wronskian Determinant. | Textbook 1 (Chapter 3) |
| 7 | Complex Roots of The Characteristic Equation, Real Roots, Repeated Roots, Reduction of Order, Nonhomogeneous Equations. | Textbook 1 (Chapter 3) |
| 8 | Method of Undetermined Coefficients, Method of Variation Parameters. | |
| 9 | Higher Order Linear Equations | Textbook 1 (Chapter 4) |
| 10 | The Method of Undetermined Coefficients, The Method of Variation of Parameters. Some Special Second Order Equations Equations | Textbook 1 (Chapter 4) Textbook 2 (Chapter 4) |
| 11 | Series Solutions of Second Order Linear Equations: Review of Power Series, Series Solutions Near an Ordinary Point. | Textbook 1 (Chapter 5) |
| 12 | The Laplace Transform: Definition of Laplace Transform. | Textbook 1 (Chapter 6) |
| 13 | The Inverse Laplace Transform, Definition of Inverse Laplace Transform. | Textbook 1 (Chapter 6) |
| 14 | Systems of Linear Equation First Order Differential Equation: Elimination and determinant method, applications to sustainable engineering | Textbook 1 (Chapter 7) |