Math 225 - Introduction to Differential Equations

Fall 2009 - Matthias K. Gobbert

Detailed Schedule - Last Updated 11/13/09


This schedule is designed to give you an overview of the material to be covered and a detailed schedule of the tests. and the due dates of the homework assignments.

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!

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This page version 1.8, November 2009.