SYLLABUS
MTH 306H
Fall 2004
Required:
Text 1: (Required) Ordinary Differential Equations by Polking, Boggess &
Arnold, Prentice Hall 2001
Text 2: (Required) Differential Equations with Maple (3rd edition) by
Coombes, Hunt, Lipsman, Osborn and Stuck, John Wiley & Sons
Exams and other required work: Three Exams during the semester and a
Final Exam. Math Lab assignments.
Homework: Weekly homework as assigned below.
Math Lab Assignments: Math labs as assigned below.
Guidelines for Math Labs:
1. Your Name, ID# and assignment # should appear on your cover page, and all attached Maple
work sheets.
2. Indicate on each Maple work sheet which problem, and problem part appears on the sheet.
3. Show all Maple commands and the results of executing them.
4. Math Lab assignments that are submitted after the due date indicated below may be rejected or
subject to a grading penalty.
Grades: First Exam 20%. Second Exam 20%. Third Exam 20%. Math Lab Reports 20%.
Final Exam 20% . +/- grades will be assigned.
IMPORTANT COURSE INFORMATION
For each week there will be a link to a page with a reading assignment and a homework
assignment.
Reading - Homework assignments-Test Dates
This schedule below is tentative. It will get more accurate as the semester progresses.
No week's topics should be taken as final until the homework is linked.
Week #1:
8/30/04-9/03/04
Homework #1
Math Lab #1-Due 9/8/04
Week #2:
9/8/04-9/10/04
Homework #2
Math Lab #2 -Due 9/20/04
Week #3:
9/13/04-9/17/04
Homework #3
Math Lab #3-Due 10/01/04
Introduction to ODEs
ODEs and their solutions
Solutions to Separable Equations
Models of Motion
Linear Equations
Mixing problems
Week #4:
9/20/04-9/24/04
Homework #4
Study Guide Test #1 (10/01/04)
Week #5:
9/27/04-10/01/04
Week #6:
10/04/04-10/08/04
Homework #5
Math Lab #4 -Due 10/11/04
Week #7:
10/11/04-10/15/04
Homework #5-6
Week #8:
10/18/04-10/22/04
Homework #7
Math Lab #5-Due 10/28/04
Week #9:
10/25/04-10/29/04
Homework #8
Week #10:
11/01/04-11/5/04
Homework #9
Math Lab #6-Due-11/8/04
Study Guide Test #2-11/05 /04
Week #11:
11/8/04-11/12/04
Homework #9
Math Lab #7-Due 11/19/04
Week #12:
11/15/04-11/19/04
Homework #10
Math Lab #8-Due 11/29/04
Week #13:
11/22/04
Study Guide Test #3-(12/3/04)
Week #14:
11/29/04-12/03/04
Homework #11
Math Lab #9-Due 12/6/04
Week #15:
12/06/04-12/10/04
Homework #12
Homework #13
STUDY GUIDE FINAL EXAM
Existence and Uniqueness
Autonomous equations and stability
Autonomous equations and stability
Review for Test #1(9/29/04)
Test #1 (10/01/04)
Euler’s Method
Runge-Kutta Methods
Matrix algebra; vectors
Systems of linear equations
Solving systems of linear equations
Systems of linear equations
Solving systems of linear equations
Determinants
Introduction to systems
Geometric interpretation of solutions
Qualitative analysis
Linear systems of ODEs
Eigenvalues, eigenvectors, and solutions of systems
Planar systems of ODEs
Phase plane portraits
Eigenvalues, eigenvectors, and solutions of systems
Planar systems of ODEs
.
Planar systems of ODEs
Phase plane portrait
Higher dimensional systems
Higher dimensional systems
The Linearization of Nonlinear Systems
Long Term Behavior of Solutions
Long Term Behavior of Solutions to Planar Systems
Conserved Quantities
Nonlinear Mechanics
EXAM DATE: 12/14/04 EXAM TIME: 8:00-11:00 AM
THE FINAL EXAM WILL BE GIVEN IN Diefendorf 146