Math 225 - Introduction to Differential Equations

Fall 2015 - Matthias K. Gobbert

Detailed Schedule - Last Updated 10/21/15

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.
The orange color indicates software workshops on Matlab, offered by the Center for Interdisciplinary Research and Consulting (CIRC).

Class	Date	Main Topic	Notes
1	Th 08/27	1.1 Basic Definitions, 1.2 Classification
2	Tu 09/01	2.3 Exponential Growth	HW 0 due: background
3	Th 09/03	2.1 First-Order Linear Equations	HW 1 due: Sec 1.1, 1.2
4	Tu 09/08	2.2 Separable Equations
	We 09/09	CIRC Software workshop: Basic MATLAB	12:00-01:00, ENGR 122
5	Th 09/10	2.7 The Direction Field	HW 2 due: Sec. 2.1
6	Tu 09/15	1.2 Some Basic Theory: Picard's Theorem
7	Th 09/17	2.7 A First-Order Numerical Method: Euler's Method	HW 3 due: Sec. 2.2
8	Tu 09/22	Matlab for direction fields and numerical methods
	We 09/23	CIRC Software workshop: Basic Programming in MATLAB	12:00-01:00, ENGR 122
9	Th 09/24	3.1 Introduction to Second-Order Linear Equations	HW 4 due: Sec. 2.7, Review
10	Tu 09/29	Test 1 (Chapters 1 and 2)
11	Th 10/01	3.2 Fundamental Solutions of the Homogeneous Equation	HW 5 due: 1.2, 2.7, 2.8
12	Tu 10/06	3.4 Homogeneous Equations with Constant Coefficients: Real Roots
	We 10/07	CIRC Software workshop: Intermediate Programming in MATLAB	12:00-01:00, ENGR 122
13	Th 10/08	3.3 Reduction of Order	HW 6 due: Sec. 3.1, 3.2
14	Tu 10/13	3.5 Homogeneous Equations with Constant Coefficients: Complex Roots
15	Th 10/15	3.6 Nonhomogeneous Equations	HW 7 due: Sec. 3.3, 3.4, 3.5
16	Tu 10/20	3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients
	We 10/21	CIRC Software workshop: Advanced Programming in MATLAB	12:00-01:00, ENGR 122
17	Th 10/22	3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters	HW 8 due: Sec. 3.6, 3.7, 3.8
18	Tu 10/27	3.9, 3.10, 3.11 Oscillation and Vibration in Mechanical Systems
19	Th 10/29	Test 2 (Chapter 3)	HW 9 due: Sec. 3.7, 3.8, Review
20	Tu 11/03	5.1 Definition of the Laplace Transform
21	Th 11/05	5.2 Properties of the Laplace Transform	HW 10 due: Sec. 5.1
22	Tu 11/10	5.3 The Inverse Laplace Transform
23	Th 11/12	5.4 Initial-Value Problems	HW 11 due: Sec. 5.2, 5.3
24	Tu 11/17	5.5 Step Functions and Delayed Functions
25	Th 11/19	5.6 Differential Equations with Discontinous Forcing Functions	HW 12 due: Sec. 5.4, 5.5
26	Tu 11/24	Test 3 (Chapter 5)
	Th 11/26	Thanskgiving Holiday
27	Tu 12/01	5.7 Impulse Forcing Functions	HW 13 due: Sec. 5.6, 5.7, Review
28	Th 12/03	Chapter 6: Systems of linear differential equations
29	Tu 12/08	8.1 Phase Plane Analysis of Autonomous Systems
	Tu 12/15	03:30-05:30 Final exam (Chapters 1, 2, 3, and 5)	Note the date and time!