As they become available, you may download class notes here. They are pdf files, which can be viewed with a pdf viewer.
| Lecture | Date | What was covered | Notes |
| 1 | Aug. 31 | Classification and First-Order Equations. Method of the integrating factor | First lecture |
| 2 | Sept. 2 | Separable First-Order Equations and Existence, Uniqueness and Interval of Definition for Solutions | |
| 3 | Sept. 7 | Direction Fields and Models | Quiz 1 - M1 |
| 4 | Sept. 9 | Population Models. Stability of 1-D systems. | |
| 5 | Sept.14 | Numerical Methods: The Euler, Improved Euler and Runge-Kutta Integration Methods | Quiz 2 - M2 , M3 |
| 6 | Sept. 16 | Exact Equations and Integrating Factors (I) | |
| 7 | Sept. 21 | Exact Equations and Integrating Factors (II) | Quiz 3; Review at 7pm |
| Sept. 23 | 1st In-Class Test | ||
| 8 | Sept. 28 | 2nd & higher order homogeneous linear equations and the Wronskian |
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| 9 | Sept. 30 | 2nd order homogeneous const. coeffs. | |
| 10 | Oct. 5 | Reduction of order; Higher order homogeneous equation with const. coeffs. (I) | Quiz 4 |
| 11 | Oct. 7 | Higher order homogeneous w/ const. coeffs. (II) | |
| 12 | Oct. 12 | non-homogeneous: undetermined coeffs (I) | Quiz 5 |
| 13 | Oct. 14 | non-homogeneous: undetermined coeffs. (II) | |
| 14 | Oct. 19 | non-homogeneous: variation of parameters (I) | Quiz 6 |
| 15 | Oct. 21 | non-homogeneous: variation of parameters (II) | |
| 16 | Oct. 26 | Vibrations | Quiz 7; Review at 7pm |
| Oct. 28 | 2nd In-Class Test | ||
| 17 | Nov. 2 | Laplace Transform | |
| 18 | Nov. 4 | Step functions & discontinuous forcing | |
| 19 | Nov. 9 | systems of 1st order diff. eqns. | Quiz 8 |
| 20 | Nov. 11 | Solving 2D systems for distinct eigenvalues | |
| 21 | Nov. 16 | Solving 2D linear systems: Phase portraits | Quiz 9 |
| 22 | Nov. 18 | Repeated Eigenvalues. Matrix Exponential | |
| 23 | Nov. 23 | Phase portaits for 2D systems | Quiz 10 Stability Diagram |
| Nov. 25 | No Class | Thanksgiving break | |
| 24 | Nov. 30 | Nonlinear planar systems: Linearization | Quiz 11; Review at 7pm |
| Dec. 2 | 3rd In-Class Test | ||
| 25 | Dec. 7 | Nonlinear planar systems: Phase portraits (I) | Problem 5 Sect 9.3 - Matlab code |
| 26 | Dec. 9 | Nonlinear planar systems: Phase portraits (II), Stability | Last Class |