Math 225 - Introduction to Differential Equations

Spring 2020 - Matthias K. Gobbert

Detailed Schedule - Last Updated 05/14/20

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 Stanley J. Farlow, An Introduction to Differential Equations and Their Applications, Dover, 2006.

Class	Date	Main Topic	Notes
1	Tu 01/28	1.1 Basic Definitions, 1.2 Classification	HW 0 due: background
2	Th 01/30	2.1 First-Order Linear Equations	HW 1 due: Sec 1.1, 1.2
3	Tu 02/04	2.1 First-Order Linear Equations
4	Th 02/06	2.2 Separable Equations	HW 2 due: Sec. 2.1
5	Tu 02/11	1.2 Some Basic Theory: Picard's Theorem
6	Th 02/13	2.7 The Direction Field	HW 3 due: Sec. 2.2
7	Tu 02/18	2.7 A First-Order Numerical Method: Euler's Method
8	Th 02/20	2.8 A Higher-Order Numerical Method: The Classical Runge-Kutta Method	HW 4 due: Sec. 2.7, Review
9	Tu 02/25	3.1 Introduction to Second-Order Linear Equations
10	Th 02/27	3.2 Fundamental Solutions of the Homogeneous Equation	HW 5 due: Sec. 1.2, 2.7
11	Tu 03/03	Test 1 (Chapters 1 and 2)
12	Th 03/05	3.4 Homogeneous Equations with Constant Coefficients: Real Roots
13	Tu 03/10	3.3 Reduction of Order	HW 6 due: Sec. 3.1, 3.2
14	Th 03/12	Class cancelled due to campus closure
	Tu 03/17	Spring Break
	Th 03/19	Spring Break
15	Tu 03/24	3.5 Homogeneous Equations with Constant Coefficients: Complex Roots	HW 7 due: Sec. 3.3, 3.4, 3.5
16	Th 03/26	3.6 Nonhomogeneous Equations
17	Tu 03/31	3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients	HW 8 due: Sec. 3.6, 3.7, 3.8
18	Th 04/02	3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters	HW 9 due: Sec. 3.7, 3.8, Review
19	Tu 04/07	Test 2 (Chapter 3)
20	Th 04/09	5.1 Definition of the Laplace Transform	HW 10 due: Sec. 5.1
21	Tu 04/14	5.2 Properties of the Laplace Transform
22	Th 04/16	5.3 The Inverse Laplace Transform	HW 11 due: Sec. 5.2, 5.3, 5.4
23	Tu 04/21	5.4 Initial-Value Problems
24	Th 04/23	5.5 Step Functions and Delayed Functions	HW 12 due: Sec. 5.5, 5.6
25	Tu 04/28	5.6 Differential Equations with Discontinous Forcing Functions
26	Th 04/30	5.7 Impulse Forcing Functions	HW 13 due: Sec. 5.6, 5.7, Review
27	Tu 05/05	Test 3 (Chapter 5)
28	Th 05/07	Chapter 6: Systems of linear differential equations
29	Tu 05/12	8.1 Phase Plane Analysis of Autonomous Systems
	Th 05/14	01:00-03:00 Final exam (Chapters 1, 2, 3, and 5)	Note the date and time!