MA 341 Applied Differential Equations I

MA 341 Applied Differential Equations I

Department of Mathematics

North Carolina State University

Instructor:

Dr. Larry K. Norris
Department of Mathematics, NCSU
145 Harrelson Hall
Phone: 515-7932 (W), 848-0234 (H)
Email: lkn@math.ncsu.edu

Textbook: Fundamentals of Differential Equations and Boundary Value Problems , 4^th edition, by Nagel, Saff and Snider.

Grading:

5 in class 43 minute tests @ 11% = 55%
1 comprehensive final exam = 30%
Maple work = 15%

I will replace the lowest of the 5 in class tests with final exam grade provided it higher
The class will have Maple Lab every Friday.

Week -by-week Schedule

Week of	Chapter Sections	Comments
Jan 2 - Jan 4	1.1	Introduction to differential equations
	1.2	Solutions & Initial Value Problems
	1.2	Solutions & Initial Value Problems

Jan 7 - Jan 11	1.3	Direction Fields
	1.4	Euler Approximations
	1.4	Euler Approximations
	2.1-2.2	Introduction and Separable Equatiions

Jan 14 - Jan 18	2.1-2.2	Separable Equatiions
	2.3	First Order Linear Equations
	2.3	First Order Linear Equations
	3.2-3.5	Selected Applications

Jan 21 - Jan 25	Monday is a Holiday
	3.2-3.5	Selected Applications
	Review for test #1
	TEST #1-- Thursday, January 25

Jan 28 - Feb 01	3.2-3.5	Selected Applications
	4.1 - 4.2	Introduction - Second Order Linear Equations
		Discussion on Vectors Spaces
	4.2	Theorems 1 and 2 and definition 1

Feb 4 - Feb 8	4.2	Constant Coefficients - real roots
	4.3	Constant Coefficients - complex roots
	4.4	Non-homogeneous equations - Undetermined Coefficients

Feb 11 - Feb 15	4.5	Superposition - Theorems 3 and 4
	4.5	Table on page 191
	4.8-4.9 (2 days)	Mechanical Vibrations

Feb 18 - Feb 22	Monday is a Vacation Day
	Tuesday is a Teacher Work Day
	Review for test #2
	TEST #2 -- Thursday, February 21

Feb 25 - Feb. 29	9.1-9.2 (2 days)	Introduction - Linear Algebra
	9.3 ( 2 days)	Matrices and Vectors - Theorem 1, page 527

Mar 3 - Mar 7	9.4 (2 days)	Linear systems in normal form
	9.5 (2 days)	Real Eigenvalues

Mar 10 - Mar 14	9.6 (2 days)	Complex eigenvalues
	Review for test #3
	Test #3 : Thursday, March 13

Mar. 17-Mar. 21	9.7 (3 days)	Non-homogeneous linear systems
	5.5	Selected applications, worked using techniques from Chapter 9
	Friday is a Holiday

Mar. 24 - Mar. 28	5.5 (2 days)	Selected applications, worked using techniques from Chapter 9
	5.4 (2 days)	Phase plane

March 31 -April 4 Spring Break at Enloe HS

April 7 - April 11	Monday is a teacher work day
	12.1, 12.2	Introduction to Autonomous system/ Linear systems in the plane.
	12.2	Continue with12.2
		Review for test
	Test #4 Thursday, April 10

April 14 - April 18	7.1-7.2	Laplace Transforms - Introduction and definitions
	7.3	Properties of Laplace Transforms
	7.4 (2 days)	Inverse Laplace Transforms

April 21- April 25	7.5	Solving Initial Value Problems
	7.6	Discontinuous & Periodic Functions
		Review for test
	Test #5 Thursday, April 24

April 28 - May 2	Review for final exam
	Friday May 2 is a teacher work day
May 3	Final Exam - at NCSU (Saturday)