Math 225 - Introduction to Differential Equations

Spring 2010 - Matthias K. Gobbert

Detailed Schedule - Last Updated 02/17/10


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 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!

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This page version 1.1, February 2010.