Spring 2019 Math2410Q

Practice Problem Set

1st practice problem set (revised) (due 2/14/19) SOLUTION

Text Book

We use the textbook “A First Course in Differential Equations with Modeling Applications(11E)” by Dennis G. Zill.
Purchasing detail see Math 2410Q Book Options.pdf.

Course Common Page

Math2410Q Common Page

Syllabus

Syllabus section 009
Syllabus section 017
(They are the same other than section number, time and location.)

Office Hour

Mon: 7:30-9:00 pm/ Wed: 10:00-11:00 am/ Thu: 10:00-11:00 am @ Mont422

Tentative Schedule

W1	1/22: 1.1+1.2	Definition and Terminology, Initial-Value Problems
	1/24: 1.2+1.3	Differential Equations as Mathematical Models
W2	1/29: 2.1	Solution Curves Without a Solution: 1) Direction Fields; 2) Autonomous First-Order DEs
	1/31: 2.2	Separable Equations
W3	2/5: 2.3	Linear Equations
	2/7: 2.4	Exact Equations
W4	2/12: 2.5	Solutions by Substitutions
	2/14: 2.5+2.6	Solutions by Substitutions + A Numerical Method
W5	2/19: 3.1	Linear Models
	2/21: 3.2	Nonlinear Models
W6	2/26: 3.3	Modeling with System of First-Order DEs
	2/28: 4.1	Linear Equations: IVP and BVP; Homogeneous Equations; Nonhomogeneous Equations
W7	3/5: 4.3	Homogeneous Linear Equations with Constant Coefficients
	3/7	Review
W8	3/12	Midterm: covers 1.1-1.3, 2.1-2.6, 3.1-3.3, 4.1, 4.3
	3/14: 4.4	Undetermined Coefficients – Superposition Approach
W9		Spring Break
W10	3/26: 4.6	Variation of Parameters
	3/28: 5.1	IVP in Linear Models: Free Damped/Undamped Motion; Driven Motion; Series Circuit Analogue
W11	4/2: 7.1	Definition of the Laplace Transform
	4/4: 7.2	Inverse Transforms and Transforms of Derivatives
W12	4/69: 7.3	Operational Properties I: Translation on the s/t – axis
	4/11: 7.4	Operational Properties II: Derivatives of a Transform; Transform of Integrals and Periodic Functions
W13	4/16: B.1+B.2	Basic Definitions and Theory of Matrices; Gaussian Elimination
	4/18: B.2+B.3	Gaussian Elimination; The Eigenvalue Problem
W14	4/23: 8.1	Preliminary Theory – Linear System
	4/25: 8.2	Homogeneous Linear System: Distinct Real Eigenvalues; Repeated Eigenvalues
W15	4/30: 8.2	Homogeneous Linear System: Complex Eigenvalues + Review
	5/2	Review
W16		Final Exam: cumulative

Course Content

We will cover the following sections in the text book.

• Chapter 1: §1.1-§1.3;
• Chapter 2: §2.1-§2.6;
• Chapter 3: §3.1-§3.3;
• Chapter 4: §4.1, §4.3, §4.4, §4.6;
• Chapter 5: §5.1;
• Chapter 7: §7.1-§7.4;
• Chapter 8: §8.1, §8.2;
• Appendix B: §B.1-§B.3.