The chapter and section numbers refer to the text, Stanley J. Farlow, An Introduction to Differential Equations and Their Applications, Dover, 2006.
| Class | Date | Main Topic | Notes |
| 1 | We 01/26 | Snow cancellation | |
| 2 | Mo 01/31 | 1.1 Basic Definitions, 1.2 Classification, 2.3 Exponential Growth | HW 0 due: background |
| 3 | We 02/02 | 2.1 First-Order Linear Equations | |
| 4 | Mo 02/07 | 2.2 Separable Equations | HW 1 due: Sec 1.1, 1.2 |
| 5 | We 02/09 | 2.7 The Direction Field | |
| 6 | Mo 02/14 | 2.7 A First-Order Numerical Method: Euler's Method | HW 2 due: Sec. 2.1 |
| 7 | We 02/16 | Matlab for direction fields and numerical methods | HW 3 due: Sec. 2.2 |
| 8 | Mo 02/21 | 1.2 Some Basic Theory: Picard's Theorem | |
| 9 | We 02/23 | 3.1 Introduction to Second-Order Linear Equations | HW 4 due: Sec. 2.7, Review |
| 10 | Mo 02/28 | Test 1 (Chapters 1 and 2) | |
| 11 | We 03/02 | 3.2 Fundamental Solutions of the Homogeneous Equation | HW 5 due: 1.2, 2.7, 2.8 |
| 12 | Mo 03/07 | 3.4 Homogeneous Equations with Constant Coefficients: Real Roots | |
| 13 | We 03/09 | 3.3 Reduction of Order | HW 6 due: Sec. 3.1, 3.2 |
| 14 | Mo 03/14 | 3.5 Homogeneous Equations with Constant Coefficients: Complex Roots | |
| 15 | We 03/16 | 3.6 Nonhomogeneous Equations | HW 7 due: Sec. 3.3, 3.4, 3.5 |
| Mo 03/21 | Spring Break | ||
| We 03/23 | Spring Break | ||
| 16 | Mo 03/28 | 3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients | |
| 17 | We 03/30 | 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters | HW 8 due: Sec. 3.6, 3.7, 3.8 |
| 18 | Mo 04/04 | Test 2 (Chapter 3) | |
| 19 | We 04/06 | 3.9, 3.10, 3.11 Oscillation and Vibration in Mechanical Systems | HW 9 due: Sec. 3.7, 3.8, Review |
| 20 | Mo 04/11 | 5.1 Definition of the Laplace Transform | |
| 21 | We 04/13 | 5.2 Properties of the Laplace Transform | HW 10 due: Sec. 5.1 |
| 22 | Mo 04/18 | 5.3 The Inverse Laplace Transform | |
| 23 | We 04/20 | 5.4 Initial-Value Problems | HW 11 due: Sec. 5.2, 5.3 |
| 24 | Mo 04/25 | 5.5 Step Functions and Delayed Functions | |
| 25 | We 04/27 | 5.6 Differential Equations with Discontinous Forcing Functions | HW 12 due: Sec. 5.4, 5.5 |
| 26 | Mo 05/02 | Test 3 (Chapter 5) | |
| 27 | We 05/04 | 5.7 Impulse Forcing Functions | HW 13 due: Sec. 5.6, 5.7, Review |
| 28 | Mo 05/09 | Chapter 6: Systems of linear differential equations | |
| 29 | We 05/11 | 8.1 Phase Plane Analysis of Autonomous Systems | HW 14 due: feedback |
| M 05/16 | 03:30-05:30 Final exam (Chapters 1, 2, 3, and 5) | Note the date and time! |