## Ordinary Differential Equations Fall 2005

### Grading Policy

All homework is due the week following the assignment. Grades will be based on:
• Written homework 30%
• Projects 20%
• 2 Exams 50% (Around mid october and the final exam)

The book is Differential equations: a modeling perspective The authors are Robert Borelli and Courney Coleman. We are using the second edition.

### Software

• ODE architect is in the book - I will not use this, but your can play around with it.
• XPP is recommended. It is free, open source, and flexible. If you are a disciple of the evil empire (Windows), then you can get the whole package here.
• Apparently there is a problem with the X-server You can download the Windows only version and the documentation or this X-server which works for 2 hours at a time.
• I will be giving some homework assignments which will require the use of the computer.

### Exam info

Exams will be in class, open book. There will likely be an additional out of class computer component, but I havent settled on that.

### What the heck is a project?

• Projects are due at the end of the term.
• You should find some other students with whom to work. Typically 2-3 per team is a good number.
• The projects can be on anything you want which involves the use of differential equations.
• You will present them in class and give me a little write-up
• If you are completely devoid of ideas, don't worry, I can give you some.
• Some previous examples:

### Syllabus

• Introductory examples
• Chapter 2
• 2.1: 1,7,5,14,18,23
• 2.2: 2,6,31 (Due Wednesday Sep 14)
• Do the problesm on this work sheet Due 9/14 also.
• 2.3 problem 2 (due Wednesday sep 14)
• Week of Sept 12: 2.3-2.7
• 2.4 This section requires some use of the computer. Get XPP Then look at Direction fields tutorial
• Homework For Sept 21 2.4: 7,8; 2.5: 1,3,6,9,12,21,26; 2.6: 1,2,9
• Week of Sept 19:2.8-2.9, page 120-121
• Homework for Sept 28 2.8 1,5,7,11,13-18,22,23; 2.9 1,3,4,9,13,16
• Week of Sept 26: 3.2-3.3
• Homework for Oct 5 3.2 1,4,8,12,19,20,33,40,41,44
• Week of Oct 3: 3.4,3.5 (3.6 possibly)
• Homework due Oct 12 3.4: 5,6,11,14,15,19. 3.5:8,10,20,24,25,28.
• Week of Oct 10: 3.7, Series
• Homework Due Oct 19. 3.7:1,3,,18 ; Handout: page 3: number 2; page 6: number 1
• EXAM 1 Oct 24. Due Oct 28 - Take home exam.
• Week of Oct 17: Handout right here and we will also start section 6.2 . HW Due Oct 26: handout page 2:1,2,3 and page 4:1,2,3
• Exam 1 is here NOTE: in problem 6, the bifurcation parameter is the pump strength, p
• HW due Nov 9. Book section 6.3: 3,5, 11, 9; 19; 33. Section 6.4: 2, 8; 26b, 26c.
• HW due Nov 30th. Book 6.5:1,2,4,5,11,13,14,16,17,23,27; 6.6:1,7,9; 6.8:8; page 442: 2.
• Book Chapt 7 Nonlinear mechanics
• Chapter 7 Homework, Due Dec 7. 7.2:10-13,29,30; 7.3:15-18,29