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:

• 4 in class 43 minute tests @ 11% = 44%
• Random homework quizzes = 11%
• 1 comprehensive final exam = 30%
• Maple work = 15%

• I will replace the lowest of the 4 in class tests with final exam grade provided it higher
• The class will have Maple Lab on the Fridays listed in the week-by-week schedule below.

Week -by-week Schedule

Week of	Chapter Sections	Comments
Jan 5 – Jan 9	1.1	Introduction to differential equations
	1.2	Solutions & Initial Value Problems
	1.2	Solutions & Initial Value Problems
	Friday	Computer Lab
Jan 12 – Jan 16	1.3	Direction Fields
	1.4	Euler Approximations
	1.4	Euler Approximations
	2.1-2.2	Introduction and Separable Equations
	Friday	Computer Lab
Jan 19 – Jan 23	Monday is a Holiday
	2.1-2.2	Separable Equations
	2.3	First Order Linear Equations
	2.3	First Order Linear Equations
Jan 26 - Jan 30	Monday is a teacher workday
	3.2-3.5	Selected Applications
	Review for test #1
	TEST #1-- Thursday, January 29
	Friday					Computer lab
Feb 2 - Feb 6	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 9 – Feb 13	4.2	Constant Coefficients - real roots
	4.3	Constant Coefficients - complex roots
	4.4	Non-homogeneous equations - Undetermined Coefficients
	Friday	Computer Lab
Feb 16 - Feb 20	Monday is a teacher workday
	4.5	Superposition - Theorems 3 and 4
	4.5	Table on page 191
	4.8-4.9	Mechanical Vibrations
Feb 23 - Feb 27	4.8-4.9 (2 days)						Mechanical Vibrations
	Review for test #2
	TEST #2 -- Thursday, February 26
	Friday				Computer lab
Mar 2 - Mar 6	9.1-9.2 (2 days)	Introduction - Linear Algebra
	9.3 (2 days)	Matrices and Vectors - Theorem 1, page 527
Mar 9 - Mar 13	9.4 (2 days)	Linear systems in normal form
	9.5 (2 days)	Real eigenvalues
	Friday	Computer lab
Mar 16 - Mar 20	9.6 (2 days)	Complex eigenvalues
	Review for test #3
	Test #3: Thursday, March 19
Mar. 23 - Mar. 27	9.7 (3 days)	Non-homogeneous linear systems
	5.5	Selected applications, worked using techniques from Chapter 9
	Friday	Computer lab
Mar. 30 - Apr 3	5.5 (2 days)	Selected applications, worked using techniques from Chapter 9
	5.4 (2 days)	Phase plane
	7.1 – 7.2	Laplace Transforms - Introduction and definitions
April 6 - April 10 Spring Break at Enloe HS
April 13 - April 17	Monday is a teacher work day
	7.1-7.2	Laplace Transforms - Introduction and definitions
		Review for test
	Test #4 Thursday, April 16
	Friday			Computer lab
April 20 - April 24	7.3 (2 days)	Properties of Laplace Transforms
	7.4 (2 days)	Inverse Laplace Transforms
	7.5	Solving Initial Value Problems
April 27 - May 1	7.5 (2 days)	Solving Initial Value Problems
	2 days		Review for final exam
	Friday		Computer lab
May 2	Final Exam – at NCSU (Saturday)