Homework: Weekly Homework As Assigned Below

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 / Introduction to ODEs
ODEs and their solutions
Week #2:
9/8/04-9/10/04 Homework #2 Math Lab #2 -Due 9/20/04 / Solutions to Separable Equations
Models of Motion
Week #3:
9/13/04-9/17/04
Homework #3
Math Lab #3-Due 10/01/04 / Linear Equations Mixing problems
Week #4:
9/20/04-9/24/04
Homework #4
Study Guide Test #1 (10/01/04) / Existence and Uniqueness Autonomous equations and stability
Week #5:
9/27/04-10/01/04
/ Autonomous equations and stability
Review for Test #1(9/29/04)
Test #1 (10/01/04)
Week #6:
10/04/04-10/08/04
Homework #5
Math Lab #4-Due 10/11/04 / Euler’s Method
Runge-Kutta Methods Matrix algebra; vectors
Systems of linear equations
Solving systems of linear equations
Week #7:
10/11/04-10/15/04
Homework #5-6
/ Systems of linear equations
Solving systems of linear equations
Determinants
Week #8:
10/18/04-10/22/04
Homework #7
Math Lab #5-Due 10/28/04 / Introduction to systems
Geometric interpretation of solutions
Qualitative analysis
Week #9:
10/25/04-10/29/04
Homework #8 / Linear systems of ODEs
Week #10:
11/01/04-11/5/04 Homework #9
Math Lab #6-Due-11/8/04
Study Guide Test #2-11/05 /04 / Eigenvalues, eigenvectors, and solutions of systems
Planar systems of ODEs
Phase plane portraits
Week #11:
11/8/04-11/12/04
Homework #9
Math Lab #7-Due 11/19/04 / Eigenvalues, eigenvectors, and solutions of systems
Planar systems of ODEs
.
Week #12:
11/15/04-11/19/04
Homework #10
Math Lab #8-Due 11/29/04 / Planar systems of ODEs
Phase plane portrait
Higher dimensional systems
Week #13:
11/22/04
Study Guide Test #3-(12/3/04) / Higher dimensional systems
Week #14:
11/29/04-12/03/04
Homework #11
Math Lab #9-Due 12/6/04 / The Linearization of Nonlinear Systems
Long Term Behavior of Solutions
Week #15:
12/06/04-12/10/04
Homework #12
Homework #13 / Long Term Behavior of Solutions to Planar Systems
Conserved Quantities
Nonlinear Mechanics
STUDY GUIDE FINAL EXAM / EXAM DATE: 12/14/04 EXAM TIME: 8:00-11:00 AM
THE FINAL EXAM WILL BE GIVEN IN Diefendorf 146