Class Home Page

Class Meeting Times

2:30 - 3:20 Monday, Wednesday & Friday in 102 Perkins

Instructor

Larry Kost

Office

16 Colchester Avenue Room 301

Phone numbers

656 - 4303 (office), 862 - 2800 (home) 656 - 2940 (department office)

kost@cems.uvm.edu

Text

Elementary Differential Equations Eighth Edition

Authors

William E. Boyce & Richard C. PiPrima

Material

Will cover selected sections of chapters 1 - 8 as time permits (See below)

Prerequisite

Math 121 (Calculus III).

Corequisite

Math 124 (Linear Algebra) or instructor's permission

Office Hours

3:30 - 4:30 Tuesday, Wednesday and Friday

I will generally be available whenever I am in my office. My Schedule.

Grades

Quizzes/Assignments	400 points	~49%
Three Tests	300 points	~36%
Final Exam	125 points	~15%

Tests

Wednesday February 13

Friday March 21

Wednesday April 16

Final Exam

11:45 - 2:45 Thursday May 8 in 102 Perkins

I have posted a solutions to the sample problems from chapter 7 on the Solutions page.

I have posted a some sample problems from chapter 7 on the Assignments page. I will try and post solutions before long.

In Problem 3) LabD you should just multiply the eigenvector by z = e^(at) ( cos(bt) + i sin(bt) ), then pick off the real and imaginary vector as u(t) and v(t). If you do check u and v as I did, you may not get a True or False. To fix that, add Simplify[ ] to both the parts you are comparing.

I have replaced the lab on the web page with one with these corrections / additions.

I have posted a final assignment (LabD) on the Mathematica page. It is due this Friday, May 2.

Grades are posted on the Grading page. They are listed by a code which you will be given in class. If you do not wish your grades posted, let me know by Email at kost@cems.uvm.edu.

You can (and should if you haven't already) install a working copy of Mathematica. Instructions are available at http://www.uvm.edu/~cems/mathstat/?Page=mathematica/default.php&SM=mathematica/_mathicamenu.html

Chapter	Topics
1	Introduction
	1.1 Basic models and Direction Fields
	1.2 Solutions of Some Differential Equations
	1.3 Classification of Differential Equations
2	First Order Differential Equations
	2.1 Linear Equations and Integrating Factors
	2.2 Separable Equations
	2.3 Modeling with First Order Equations
	2.4 Difference Between Linear and Non-Linear Equations
	2.6 Exact Equations and Integrating Factors
	2.7 Euler's Method
	2.8 Existence and Uniqueness
	2.9 First Order Difference Equations
3	Second Order Linear Equations
	3.1 Homogeneous Equations with Constant Coefficients
	3.2 Fundamental Solutions of Linear Homogeneous Equations
	3.3 Linear Independence
	3.4 Complex Roots of the Characteristic Equation
	3.5 Repeated Roots of the Characteristic Equation
	3.6 Undetermined Coefficients
	3.7 Variation of Parameters
4	Higher Order Linear Equations
	4.1 General Theory of nth Order Linear Equations
	4.2 Constant Coefficients
	4.3 Undetermined Coefficients
	4.4 Variation of Parameters
6	The Laplace Transform
	6.1 Definition of the Laplace Transform
	6.2 Solution of the Initial Value Problem
	6.3 Step Functions
	6.4 Discontinuous Forcing Functions
	6.5 Impulse Functions
	6.6 The Convolution Integral
7	Systems of First Order Linear Equations
	7.1 Introduction
	7.2 Matrices Review
	7.3 Eigenvalues and Eigenvectors
	7.4 Basic Theory Linear First Order Systems
	7.5 Homogeneous Linear Systems with Constant Coefficients
	7.6 Complex Eigenvalues
	7.7 Fundamental Matrices
	7.8 Repeated Eigenvalues
	7.9 Nonhomogeneous Linear Systems
8	Numerical Methods
	8.1 Tangent Line Method
	8.2 Improved Euler's Method
	8.3 Runge-Kutta