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 01/27 | 1.1, 1.2 Basic Definitions and Concepts, Classification | |
2 | Mo 02/01 | 2.3 Exponential Growth and Decay | HW 0 due: background |
3 | We 02/03 | 2.1 First-Order Linear Equations | HW 1 due: Sec 1.1, 1.2 |
4 | Mo 02/08 | Snow cancellation | |
5 | We 02/10 | Snow cancellation | |
6 | Mo 02/15 | 2.2 Separable Equations | HW 2 due: Sec. 2.1 |
7 | We 02/17 | 2.7 The Direction Field | HW 3 due: Sec. 2.2 |
8 | Mo 02/22 | 2.7, 2.8: Numerical Methods for Initial Value Problems | |
9 | We 02/24 | 1.2 Some Basic Theory: Picard's Theorem | HW 4 due: Sec. 2.7, Review |
10 | Mo 03/01 | Test 1 (Chapters 1 and 2) | |
11 | We 03/03 | 3.2 Fundamental Solutions of the Homogeneous Equation | HW 5 due: 1.2, 2.7, 2.8 |
12 | Mo 03/08 | 3.4 Homogeneous Equations with Constant Coefficients: Real Roots | |
13 | We 03/10 | 3.3 Reduction of Order | HW 6 due: Sec. 3.1, 3.2 |
Mo 03/15 | Spring Break | ||
We 03/17 | Spring Break | ||
14 | Mo 03/22 | 3.5 Homogeneous Equations with Constant Coefficients: Complex Roots | |
15 | We 03/24 | 3.6 Nonhomogeneous Equations | HW 7 due: Sec. 3.3, 3.4, 3.5 |
16 | Mo 03/29 | 3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients | |
17 | We 03/31 | 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters | HW 8 due: Sec. 3.6, 3.7, 3.8, Review |
18 | Mo 04/05 | Test 2 (Chapter 3) | |
19 | We 04/07 | 3.9, 3.10, 3.11 Oscillation and Vibration in Mechanical Systems | HW 9 due: Sec. 3.9, 3.10, 3.11 |
20 | Mo 04/12 | 5.1 Definition of the Laplace Transform | |
21 | We 04/14 | 5.2 Properties of the Laplace Transform | HW 10 due: Sec. 5.1 |
22 | Mo 04/19 | 5.3 The Inverse Laplace Transform | |
23 | We 04/21 | 5.4 Initial-Value Problems | HW 11 due: Sec. 5.2, 5.3 |
24 | Mo 04/26 | 5.5 Step Functions and Delayed Functions | |
25 | We 04/28 | 5.6 Differential Equations with Discontinous Forcing Functions | HW 12 due: Sec. 5.4, 5.5 |
26 | Mo 05/03 | Test 3 (Chapter 5) | |
27 | We 05/05 | 5.7 Impulse Forcing Functions | HW 13 due: Sec. 5.6, 5.7 |
28 | Mo 05/10 | Chapter 6: Systems of linear differential equations | |
29 | We 05/12 | 8.1 Phase Plane Analysis of Autonomous Systems | HW 14 due: feedback |
Mo 05/17 | 03:30-05:30 Final exam (Chapters 1, 2, 3, and 5) | Note the date and time! |