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 09/02 | 1.1, 1.2 Basic Definitions and Concepts, Classification | |
Mo 09/07 | Labor Day | ||
2 | We 09/09 | 2.3 Exponential Growth and Decay | HW 1 due: handout and Sec 1.1 |
3 | Mo 09/14 | 2.1 First-Order Linear Equations | |
4 | We 09/16 | 2.2 Separable Equations | HW 2 due: Sec. 2.1 |
5 | Mo 09/21 | 2.7 The Direction Field | |
6 | We 09/23 | 1.2 Some Basic Theory: Picard's Theorem | HW 3 due: Sec. 2.2 |
7 | Mo 09/28 | 2.7 A First-Order Numerical Method: Euler's Method | |
8 | We 09/30 | 2.8 A Higher-Order Numerical Method: The Classical Runge-Kutta Method | HW 4 due: Sec. 1.2, 2.7 |
9 | Mo 10/05 | Review | |
10 | We 10/07 | Test 1 (Chapters 1 and 2) | HW 5 due: Review and 2.7 |
11 | Mo 10/12 | 3.1 Introduction to Second-Order Linear Equations | |
12 | We 10/14 | 3.2 Fundamental Solutions of the Homogeneous Equation | |
13 | Mo 10/19 | 3.3 Reduction of Order | |
14 | We 10/21 | 3.4 Homogeneous Equations with Constant Coefficients: Real Roots | HW 6 due: Sec. 3.1, 3.2 |
15 | Mo 10/26 | 3.5 Homogeneous Equations with Constant Coefficients: Complex Roots | |
16 | We 10/28 | 3.6 Nonhomogeneous Equations | HW 7 due: Sec. 3.3, 3.4, 3.5 |
17 | Mo 11/02 | 3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients | |
18 | We 11/04 | 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters | HW 8 due: Sec. 3.6, 3.7 |
19 | Mo 11/09 | Review | |
20 | We 11/11 | Test 2 (Chapter 3) | HW 9 due: 3.8, Review |
21 | Mo 11/16 | 5.1 Definition of the Laplace Transform | |
22 | We 11/18 | 5.2 Properties of the Laplace Transform | HW 10 due: Sec. 5.1, 5.2 |
23 | M 11/23 | 5.3 The Inverse Laplace Transform | |
24 | We 11/25 | 5.4 Initial-Value Problems | |
25 | Mo 11/30 | 5.5 Step Functions and Delayed Functions | HW 11 due: Sec. 5.3, 5.4, 5.5 |
26 | We 12/02 | 5.6 Differential Equations with Discontinous Forcing Functions | |
27 | Mo 12/07 | 5.7 Impulse Forcing Functions | HW 12 due: Sec. 5.6, 5.7 |
28 | We 12/09 | 8.1 Phase Plane Analysis of Autonomous Systems | |
29 | Mo 12/14 | Review | HW 13 due: e-mail |
Fr 12/18 | 01:00-03:00 Final exam (Chapters 1, 2, 3, and 5) | Note the date and time! |