Math 133A: Ordinary Differential Equations
Fall 2004

(12/6) If you liked this class and want to learn about systems of differential equations, nonlinear equations, chaos, and related things, you should take my Math 134: Dynamical Systems class which I plan to teach in the Fall of 2005.

New Office Hours

Week 12/6-12/10: M & W regular o.h.; F 8:30-10 & 1:30-3

Week 12/13-12/17: M 10-11; Tu & Th 8:30-9:30

Review for the Final Exam

The final is on: December 14, 12:15-2:30, in MH 320 for Section 04 (the 12:30 section), December 16, 12:15-2:30, in MH 424 for Section 05 (the 1:30 section). Note that both exams are in our usual classrooms.

There will be six problems.

You are allowed to bring a 3X5" note card to the exam.

To review, go over the quizzes and the midterms, as well as the these problems:

Ex. 1.2: #12, 16, 13; Ex. 1.3: #6;

Review exercies for Ch. 2: #1, 3, 7, 9, 17, 23, 28, 31, 32, 40;

Review exercies for Ch. 4: #5, 13, 21, 23, 24, 25, 30, 31, 32, 33, 35;

Review exercies for Ch. 7: #1, 5, 6, 9, 11, 13, 16, 17, 19, 21, 23, 25, 27, 29.

Check out Math 133A essentials.

Some useful trigonometric identities.

Sample final no.1: (1) Quiz 3; (2) Quiz 7; (3) Midterm 2, #1; (4) Midterm 2, #3; (5) Ch. 7 review ex., #17; (6) Ch. 7 review ex., #23.

Sample final no.2

(12/1) Solutions to Quiz 9 have been posted.

(11/30) Homework 12 has been posted. You should do it by December 8, but you do not need to turn it in.

(11/28) My afternoon office hour tomorrow, November 29, will be only a half hour, from 2:30 to 3.

(11/18) Solutions to Quiz 8 have been posted.

(11/16) Homework 11 has been posted and is due on November 29. Quiz 9 will be on December 1.

(11/14) Quiz 8 will be on Wednesday, November 17.

(11/9) Homework 10 has been posted and is due on November 17. Quiz 8 will be that same day or the Friday after that - I'll let you know.

(11/8) Solutions to Midterm 2 have been posted.

(11/7) On the midterm, you are allowed too bring a 3 X 5" note card.

(11/2) As I announced in class, there will be no quiz on Wednesday, 11/3. So today, get out and vote! You can find your polling place here:
http://www.mypollingplace.com

(10/27) Solutions to Quiz 7 have been posted.

(10/26) Homework 9 has been posted and is due on November 3, except for Chapter 4 review problems which should be done before 11/8.

(10/20) Solutions to Quiz 6 have been posted.

(10/19) You can now send me anonymous feedback. Please take a moment to let me know what you think about the class.

(10/19) A new How to... section has beed added.

(10/19) Homework 8 has been posted and is due on October 27. Quiz 7 will be on the same day.

(10/14) Solutions to Quiz 5 have been posted.

(10/12) Homework 7 has been posted and is due on October 20. Quiz 6 will be on the same day.

(10/7) Homework 6 has been posted and is due on October 13. Quiz 5 will be on the same day.

(10/4) Solutions to Midterm 1 have been posted below.

(10/3) On the midterm, you are allowed to bring a 3 X 5" card with notes.

(9/27) Solutions to Quiz 4 have been posted.

(9/27) An (electronic) handout about the brachistochrone problem has been posted. I mentioned it in the 12:30 class on 9/24 as part of an anecdote about Newton.

(9/26) Homework 5 has been posted and is due on October 4. Midterm 1 will be on the same day and will cover homework assignments 1-4.

(9/21) Solutions to Quiz 3 have been posted.

(9/19) Homework 4 has been posted. It's due on September 27. Quiz 4 will be on the same day.

(9/15) Last day to add is September 21.

(9/13) Solutions to Quiz 2 have been posted.

(9/12) Homework 3 has been posted. It is due on September 20. Quiz 3 will be on the same day.

(9/8) I just noticed that Section 2.2 is part of the second homework and that I haven't covered it yet. I therefore move the due date for Homework 2 to Monday, September 13. Quiz 2 will be on the same day (i.e., Monday).

(9/8) Starting Monday, 9/13, my morning office hour MWF will move from 10:30-11:30 to 8:30-9:30.

(9/7) I have to cancel my 2:30 office hour on Wednesday, September 8.

(9/6) A handout on basic integrals and methods of integration I expect you to know has been posted.

(9/6) Solutions to Quiz 1 have been posted.

(8/31) Homework 2 has been posted and is due on September 10. Quiz 2 will be on the same day.

(8/27) There will be a lottery on Monday to determine who gets to add the class. The number of slots depends on enrollment on Monday morning. The time and place of the lottery will be announced in class.

(8/26) Starting Friday, August 27, the 1:30 section will be meeting in MH 424.

(8/25) Homework 1 has been posted and is due on Wednesday, September 1.

(8/25) Quiz 1 will be on Friday, September 3.

Lecture time and location

Section 04: MWF 12:30-1:20 in MH 320

Section 05: MWF 1:30-2:20 in MH 424 (starting 8/27)

Prerequisite

Math 32 (with a grade of "C-" or better) or instructor consent.

Office hours

Note the change, in effect 9/13/2004.

Monday and Wednesday 8:30-9:30 and 2:30-3:30; Friday 8:30-9:30 in 318A MH

Textbook

Nagle, Saff and Snider: Fundamentals of Differential Equations, Addison Wesley, sixth edition, 2004

Syllabus

First order equations, higher order linear equations, applications, Laplace transforms, series solutions. Additional topics.
We will cover most or parts of Chapters 1, 2, 4, 7, and 8.

Green sheet

Exams

There will be several short quizzes, two midterms, and a final exam. The exam schedule:

Midterm 1: October 4

Midterm 2: November 8

Final exam: (12:30 section) December 14, (1:30 section) December 16

No make-up exams will be allowed.

Midterm 1 solutions: Section 4, Section 5.

Midterm 2 solutions: Section 4, Section 5.

How to...

How to study for this and other math classes

How to take the exam

Grading policy

Quizzes 20%, two midterms 20% each, final 40%

Handouts

Brachistochrone problem

Basic integrals

Homework

Homework will be collected but not graded. Quizzes will be based on the homework. You cannot expect to learn the material and pass the class unless you do every homework problem. All the problems are from the textbook.

# Due date Assignment Even # problems

1 9/1 Ex. 1.1: #2, 4, 6, 8, 10, 12, 14-17; Ex. 1.2: #2, 7, 8, 12, 13, 16, 20, 22, 26, 31

2 9/13 Ex. 1.3: #2, 3, 4, 6, 8, 9, 12, 16, 19; Ex. 2.2: #8, 12, 16, 20, 22, 26, 28, 30, 34

3 9/20 Ex. 2.3: #12, 14, 16, 18, 20, 22, 28, 33, 36; Ex. 2.4: #10, 12, 16, 20, 22, 26, 28, 29, 32, 34

4 9/27 Ex. 2.5: #7, 8, 12, 13, 15, 16; Ex. 2.6: #1, 3, 6, 8, 10, 13, 18, 20, 22, 28, 30, 32, 42, 46 HW4 even

5 10/4 Chapter 2, Review problems #1-39 odd

6 10/13 Ex. 4.1, #2, 4, 5, 9;
Ex. 4.2, #6, 8, 10, 11, 16-20, 26, 28, 29, 32, 34, 36, 37

7 10/20 Ex. 4.3: #10, 17, 20, 23, 25, 27, 31de, 34, 38, 41;
Ex. 4.4: #15-35 odd

8 10/27 Ex. 4.5: #1, 4, 5, 7, 21, 26, 36, 37, 41, 43, 46, 47a;
Ex. 4.6: #3, 5, 6, 15, 20, 22, 25

9 11/3 Ex. 7.2: #1-12, 15, 17, 20, 26, 27, 28, 29efi, 32;
Chapter 4 Review problems #1-39 odd; do by 11/8, don't turn in

10 11/17 Ex. 7.3: #8, 9, 14, 17, 20, 24, 26, 29, 31, 36;
Ex. 7.4: #2, 6, 7, 9, 21, 23, 27, 32, 36, 41.

11 11/29 Ex. 7.5: #4, 6, 9, 10, 23, 27, 30, 33, 35, 38;
Ex. 7.6: #5, 8, 15, 17, 18, 19, 26, 30, 39, 40, 61.

12 12/8 Ex. 7.7: #3, 6, 7, 11, 15, 20, 24, 25, 31, 35;
Ex. 7.8: #6, 11, 13;
Ex. 8.3: #19, 25.

#	Due date	Assignment	Even # problems
1	9/1	Ex. 1.1: #2, 4, 6, 8, 10, 12, 14-17; Ex. 1.2: #2, 7, 8, 12, 13, 16, 20, 22, 26, 31
2	9/13	Ex. 1.3: #2, 3, 4, 6, 8, 9, 12, 16, 19; Ex. 2.2: #8, 12, 16, 20, 22, 26, 28, 30, 34
3	9/20	Ex. 2.3: #12, 14, 16, 18, 20, 22, 28, 33, 36; Ex. 2.4: #10, 12, 16, 20, 22, 26, 28, 29, 32, 34
4	9/27	Ex. 2.5: #7, 8, 12, 13, 15, 16; Ex. 2.6: #1, 3, 6, 8, 10, 13, 18, 20, 22, 28, 30, 32, 42, 46	HW4 even
5	10/4	Chapter 2, Review problems #1-39 odd
6	10/13	Ex. 4.1, #2, 4, 5, 9; Ex. 4.2, #6, 8, 10, 11, 16-20, 26, 28, 29, 32, 34, 36, 37
7	10/20	Ex. 4.3: #10, 17, 20, 23, 25, 27, 31de, 34, 38, 41; Ex. 4.4: #15-35 odd
8	10/27	Ex. 4.5: #1, 4, 5, 7, 21, 26, 36, 37, 41, 43, 46, 47a; Ex. 4.6: #3, 5, 6, 15, 20, 22, 25
9	11/3	Ex. 7.2: #1-12, 15, 17, 20, 26, 27, 28, 29efi, 32; Chapter 4 Review problems #1-39 odd; do by 11/8, don't turn in
10	11/17	Ex. 7.3: #8, 9, 14, 17, 20, 24, 26, 29, 31, 36; Ex. 7.4: #2, 6, 7, 9, 21, 23, 27, 32, 36, 41.
11	11/29	Ex. 7.5: #4, 6, 9, 10, 23, 27, 30, 33, 35, 38; Ex. 7.6: #5, 8, 15, 17, 18, 19, 26, 30, 39, 40, 61.
12	12/8	Ex. 7.7: #3, 6, 7, 11, 15, 20, 24, 25, 31, 35; Ex. 7.8: #6, 11, 13; Ex. 8.3: #19, 25.

Quizzes

Date Quiz # Solutions

9/3 Quiz 1 Quiz 1 solutions

9/13 Quiz 2 Quiz 2 solutions

9/20 Quiz 3 Quiz 3 solutions

9/27 Quiz 4 Quiz 4 solutions

10/13 Quiz 5 Quiz 5 solutions

10/20 Quiz 6 Quiz 6 solutions

10/27 Quiz 7 Quiz 7 solutions

11/17 Quiz 8 Quiz 8 solutions

12/1 Quiz 9 Quiz 9 solutions

Date	Quiz #	Solutions
9/3	Quiz 1	Quiz 1 solutions
9/13	Quiz 2	Quiz 2 solutions
9/20	Quiz 3	Quiz 3 solutions
9/27	Quiz 4	Quiz 4 solutions
10/13	Quiz 5	Quiz 5 solutions
10/20	Quiz 6	Quiz 6 solutions
10/27	Quiz 7	Quiz 7 solutions
11/17	Quiz 8	Quiz 8 solutions
12/1	Quiz 9	Quiz 9 solutions

Policy on calculators

No calculators will be allowed on any of the tests.

I will not use calculators in class or require you to use them. If you find calculators helpful for studying or homework, go ahead and use them, but do not become too dependent on them. My goal is to teach you how to think independently, although I'd be happy to help you use technology in your studies.

Calculus review

You need to know the basics of calculus to understand differential equations. Follow this link for a helpful online calculus review developed by Professor Linda Valdes.

Academic integrity

By default, I regard my students as honest individuals and expect them to abide by the University policy on academic integrity.

Anonymous feedback

If you have any comments or suggestions, please fill out this anonymousfeedback form (not defunct).

Slobodan N. Simić

Last modified: Wed Mar 2 14:48:45 PST 2005

Math 133A: Ordinary Differential Equations Fall 2004

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