Math 225 - Introduction to Differential Equations

Spring 2021 - Matthias K. Gobbert

Detailed Schedule - Last Updated 01/03/2021

The synchronous class meetings are online, on Tuesdays and Thursdays 01:00-02:15, in Blackboard Collaborate. Please, see the detailed schedule below for more information.
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 will 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 HW00, HW01, HW02, etc. in the Class column indicate homeworks "HW" due as PDF upload to Blackboard on that day.
The numbers IQ0, BQ0a, BQ0b, etc. in the Main Topic column indicate online Blackboard quizzes "IQ" and "BQ" due before that class.
The numbers GQ0a, GQ1a, GQ2a, 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	Tu 01/26	GQ0a, BQ0a, BQ0b, IQ0, Overview	HW 0 due: general
2	Th 01/28	BQ1_01, 1.1 Basic Definitions, 1.2 Classification	HW 1 due: Sec 1.1, 1.2
3	Tu 02/02	BQ1_02, 2.2 Separable Equations
4	Th 02/04	2.2 Separable Equations	HW 2 due: Sec. 2.2
5	Tu 02/09	BQ1_03, 2.1 First-Order Linear Equations
6	Th 02/11	BQ1_04, 2.1 First-Order Linear Equations	HW 3 due: Sec. 2.1
7	Tu 02/16	BQ1_05, 1.2 Some Basic Theory: Picard's Theorem	HW 4 due: Sec. 1.2, Review
8	Th 02/18	BQ1_06, 2.7 The Direction Field
9	Tu 02/23	BQ1_07, 2.7 A First-Order Numerical Method: Euler's Method	HW 5 due: Sec. 2.7
10	Th 02/25	Test 1 (Chapters 1 and 2)
11	Tu 03/02	BQ2_01, 3.1 Introduction to Second-Order Linear Equations, 3.2 Fundamental Solutions
12	Th 03/04	BQ2_02, 3.4 Homogeneous Equations with Constant Coefficients: Real Roots	HW 6 due: Sec. 3.1, 3.2, 3.4
13	Tu 03/09	BQ2_03, 3.3 Reduction of Order and Repeated Real Roots
14	Th 03/11	BQ2_04, 3.5 Homogeneous Equations with Constant Coefficients: Complex Roots	HW 7 due: Sec. 3.3, 3.4, 3.5
	Tu 03/16	Spring Break
	Th 03/18	Spring Break
15	Tu 03/23	BQ2_05, 3.6 Nonhomogeneous Equations
16	Th 03/25	BQ2_06, 3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients	HW 8 due: Sec. 3.6, 3.7
17	Tu 03/30	BQ2_07, 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters
18	Th 04/01	BQ2_08, 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters	HW 9 due: Sec. 3.8, Review
19	Tu 04/06	BQ2_09, 3.12 Introduction to Higher-Order Equations	HW 10 due: Sec. 3.7, 3.8
20	Th 04/08	Test 2 (Chapter 3)
21	Tu 04/13	BQ3_01, 5.1 Definition of the Laplace Transform	HW 11 due: Sec. 5.1
22	Th 04/15	BQ3_02, 5.2 Properties of the Laplace Transform, 5.3 The Inverse Laplace Transform
23	Tu 04/20	BQ3_03, 5.4 Initial-Value Problems	HW 12 due: Sec. 5.2, 5.3, 5.4
24	Th 04/22	BQ3_04, 5.5 Step Functions and Delayed Functions
25	Tu 04/27	BQ3_05, 5.6 Differential Equations with Discontinous Forcing Functions	HW 13 due: Sec. 5.5, 5.6
26	Th 04/29	BQ3_06, 5.7 Impulse Forcing Functions
27	Tu 05/04	BQ3_07, Chapter 6: Systems of linear differential equations	HW 14 due: Sec. 5.6, 5.7, Review
28	Th 05/06	Test 3 (Chapter 5)
29	Tu 05/11	Chapter 8: Nonlinear Differential Equations
	Tu 05/18	01:00-03:00 Final exam (Chapters 1, 2, 3, and 5)	Note the date and time!