Syllabus

M 345 Sec 1          Fall 2008      

 

Instructor:   P DuChateau    WB 126  
Phone         491-6792 
e-mail          pauld@math.colostate.edu

 

M345 sec 1           MTWF  12:00-12:50                 EE203

 

Off Hrs:       11 to12 or 1 to 4 every day (or anytime  I'm in  my office)

 

 

Grading:      Take Home exams = 60%

                   In class exams       = 40%   (midterm and final)

 

The take home exams will be handed out periodically (every 1 to 2 weeks).
The due date for each take home exam will be announced when the exam is given out.

 

         

We will cover the following topics:

 

          Introduction to Differential Equations

          First Order Equations

          Second Order Linear Equations

          The Laplace Transform

           Linear Algebra

          Systems of Linear Equations

          Dynamical Systems

 

Textbook:
J. Polking, A. Boggess, D. Arnold:
Differential Equations (2nd edition)
Prentice Hall 2006, 2001, ISBN 0-13-143738-0

 

The topics listed above correspond roughly to chapters in the text but it is not required that you buy the text unless you want to.

Notes summarizing the lectures are available for downloading from this website. (see below)

 

We will not hold a regular lab meeting (Tuesdays will be regular class sessions) but we will make use of the computer in the course.

 

 

Notes for downloading:

 

Introduction

          Questions 1

Problem set #1

Solution Meths for 1st Order Equations

         Practise Problems: 1st order soln methods

 

Applications of First Order Equations

          Practise Probs Exact eqs

1st Order NonLinear  ODE's

 

 

2nd Order Linear ODE's

         Practise Problems 2

Existence and Uniqueness

Free Response

Forced Response

 

 

Linear Algebra I

          Matrix Practise Problems I

Linear Algebra II

Systems I

Systems II

          Maple work sheet version 2

          Maple Ex for ODE Systems (pdf file)

 

 

Variation of Parameters

          Practise problems 3

Laplace Transform

          LT Probs 1

          LTProbs 2

LaplaceTransform II

 

NonLinear Dynamical Systems I

Dynamical Systems II

Bifurcation

          Practice problems: dynamical systems

 

 

 

Take Home Exams:

(not yet, they will appear later and solutions will be posted when the exams are returned)