Math 225 - Introduction to Differential Equations

Fall 2022 - Matthias K. Gobbert

Detailed Schedule - Last Updated 08/28/2022

This schedule is designed to give you an overview of the material to be covered and is tentative in nature. It is a living document and may be updated throughout the semester.
The chapter and section numbers refer to Stanley J. Farlow, An Introduction to Differential Equations and Their Applications, Dover, 2006.
The numbers HW 0, HW 1, HW 2, etc. in the Class column indicate homeworks "HW" due as PDF upload to Blackboard on that day.
The numbers IQ0, BQ0a, BQ1_01, etc. in the Main Topic column indicate online Blackboard quizzes "IQ" and "BQ" due before that class.
The numbers GQ0a, GQ0b, etc. in the Main Topic column indicate in-class group quizzes "GQ" during that class due as PDF upload.
These numbers in the detailed schedule are designed to show the teaching philosophy and learning techniques associated with each class meeting.
See the Assignments area of the Blackboard site for our course for the precise due dates and times.

Class	Date	Main Topic	Notes
1	Th 09/01	BQ0a, IQ0, Overview, GQ0a	HW 0 due: general
2	Tu 09/06	BQ1_01, GQ0b, 1.1 Basic Definitions, 1.2 Classification	HW 1 due: Sec 1.1, 1.2
3	Th 09/08	BQ1_02, 2.2 Separable Equations
4	Tu 09/13	2.2 Separable Equations	HW 2 due: Sec. 2.2
5	Th 09/15	BQ1_03, 2.1 First-Order Linear Equations
6	Tu 09/20	BQ1_04, 2.1 First-Order Linear Equations	HW 3 due: Sec. 2.1
7	Th 09/22	BQ1_05, 1.2 Some Basic Theory: Picard's Theorem	HW 4 due: Sec. 1.2, Review
8	Tu 09/27	BQ1_06, 2.7 The Direction Field
9	Th 09/29	BQ1_07, 2.7 A First-Order Numerical Method: Euler's Method	HW 5 due: Sec. 2.7
10	Tu 10/04	Test 1 (Chapters 1 and 2)
11	Th 10/06	BQ2_01, 3.1 Introduction to Second-Order Linear Equations, 3.2 Fundamental Solutions
12	Tu 10/11	BQ2_02, 3.4 Homogeneous Equations with Constant Coefficients: Real Roots	HW 6 due: Sec. 3.1, 3.2, 3.4
13	Th 10/13	BQ2_03, 3.3 Reduction of Order and Repeated Real Roots
14	Tu 10/18	BQ2_04, 3.5 Homogeneous Equations with Constant Coefficients: Complex Roots	HW 7 due: Sec. 3.3, 3.4, 3.5
15	Th 10/20	BQ2_05, 3.6 Nonhomogeneous Equations
16	Tu 10/25	BQ2_06, 3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients	HW 8 due: Sec. 3.6, 3.7
17	Th 10/27	BQ2_07, 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters
18	Tu 11/01	BQ2_08, 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters	HW 9 due: Sec. 3.8, Review
19	Th 11/03	BQ2_09, 3.12 Introduction to Higher-Order Equations	HW 10 due: Sec. 3.7, 3.8
20	Tu 11/08	Test 2 (Chapter 3)
21	Th 11/10	BQ3_01, 5.1 Definition of the Laplace Transform	HW 11 due: Sec. 5.1
22	Tu 11/15	BQ3_02, 5.2 Properties of the Laplace Transform, 5.3 The Inverse Laplace Transform
23	Th 11/17	BQ3_03, 5.4 Initial-Value Problems	HW 12 due: Sec. 5.2, 5.3, 5.4
24	Tu 11/22	BQ3_04, 5.5 Step Functions and Delayed Functions
	Th 11/24	Thanksgiving Holiday
25	Tu 11/29	BQ3_05, 5.6 Differential Equations with Discontinous Forcing Functions	HW 13 due: Sec. 5.5, 5.6
26	Th 12/01	BQ3_06, 5.7 Impulse Forcing Functions
27	Tu 12/06	BQ3_07, Chapter 6: Systems of linear differential equations	HW 14 due: Sec. 5.6, 5.7, Review
28	Th 12/08	Test 3 (Chapter 5)
29	Tu 12/13	Chapter 8: Nonlinear Differential Equations	HW 15 due: Feedback
	Tu 12/20	10:30-12:30 Final exam (Chapters 1, 2, 3, and 5)	Note the date and time!