| Lecture | Date | What was covered | BDeP Section(s) | Notes |
| 1 | Sept. 1 | Classification and First-Order Equations. Method of the integrating factor | 1.3 , 2.1 | First lecture |
| 2 | Sept. 6 | Separable First-Order Equations and Existence, Uniqueness and Interval of Definition for Solutions | 2.2 , 2.4 , 2.8 | |
| 3 | Sept. 8 | Direction Fields and Models | 1.1 , 2.3 | Quiz 1 - M1 |
| 4 | Sept. 13 | Population Models. Stability of 1-D systems. | 2.5 | |
| 5 | Sept.15 | Numerical Methods: The Euler, Improved Euler and Runge-Kutta Integration Methods | 2.7 , 8.1 , 8.2 , 8.3 | Quiz 2 - M2 , M3 |
| 6 | Sept. 20 | Exact Equations and Integrating Factors (I) | 2.6 | |
| 7 | Sept. 22 | Exact Equations and Integrating Factors (II) | 2.6 | Quiz 3; Review at 7pm |
| Sept. 27 | 1st In-Class Test | Score is used for Early Warning Grade | ||
| 8 | Sept. 29 | 2nd & higher order homogeneous linear equations and the Wronskian |
3.1, 3.2 , 4.1 | |
| 9 | Oct. 4 | 2nd order homogeneous const. coeffs. | 3.1, 3.3 | |
| 10 | Oct. 6 | Reduction of order; Higher order homogeneous equation with const. coeffs. (I) | 3.4 , 4.2 | Quiz 4 |
| 11 | Oct. 11 | Higher order homogeneous w/ const. coeffs. (II) | 4.2 | |
| 12 | Oct. 13 | non-homogeneous: undetermined coeffs (I) | 3.5 | Quiz 5 |
| 13 | Oct. 18 | non-homogeneous: undetermined coeffs. (II) | 4.3 | |
| 14 | Oct. 20 | non-homogeneous: variation of parameters (I) | 3.6 | Quiz 6 |
| 15 | Oct. 25 | non-homogeneous: variation of parameters (II); Free Vibrations | 4.4 , 3.7 | |
| 16 | Oct. 27 | Forced Vibrations | 3.8 | Quiz 7; Review at 7pm |
| Nov. 1 | 2nd In-Class Test | |||
| 17 | Nov. 3 | Laplace Transform | 6.1 , 6.2 | |
| 18 | Nov. 8 | Step functions & discontinuous forcing | 6.3 , 6.4 | |
| 19 | Nov. 10 | systems of 1st order diff. eqns. | 7.1 , 7.2 , 7.3 | Quiz 8 |
| 20 | Nov. 15 | Solving 2D systems for distinct eigenvalues | 7.4 , 7.5 | |
| 21 | Nov. 17 | Solving 2D linear systems: Phase portraits | 7.6 , 7.7 , 7.8 | Quiz 9 |
| 22 | Nov. 22 | Repeated Eigenvalues. Matrix Exponential | 7.6 , 7.7 , 7.8 | |
| Nov. 24 | No Class | Thanksgiving break | ||
| 23 | Nov. 29 | Phase portaits for 2D systems | 9.1 | Quiz 10 Stability Diagram |
| 24 | Dec. 1 | Nonlinear planar systems: Linearization | 9.2 , 9.3 | Review at 7pm |
| Dec. 6 | 3rd In-Class Test | |||
| 25 | Dec. 8 | Nonlinear planar systems: Phase portraits (I) | 9.2 , 9.3 | |
| 26 | Dec. 13 | Nonlinear planar systems: Phase portraits (II), Stability | 9.2 | Quiz 11(*); Last Class |