Math 22B: Differential Equations
Spring Quarter, 2008
Section 2
Announcement
Midterm 1 will be in class, Wednesday, April 23.
Some sample problems are posted below. I'll review the material in class
on Monday, April 21.
Instructor
John Hunter
e-mail: jkhunter@ucdavis.edu
Phone: (530) 752-3189
Office: 3230 MSB
Office hours: MWF 1:00–2:00 p.m.
Lectures: MWF 2:10–3:00 p.m., 2205 Haring Hall
Important dates:
- Last day to add: Tuesday, April 15, 2008
- Last day to drop: Friday, April 25, 2008
- Last class: Wednesday, June 4, 2008
- Academic holiday: Monday, May 26
TAs
- Martha Schott (3229 MSB)
Office Hours: W 9:45– 11:00 a.m.
- Josh Oyoung (2232 MSB)
Office Hours: T 2:00– 3:15 p.m., Th 3:00– 4:15 p.m.
Exams
There will be two in-class midterms and a final.
There will be no makeup exams.
Midterm 1
Midterm 1: Wednesday, April 23, 2:10–3:00 p.m.
Midterm 1 will cover the following topics.
- Sec. 1.1: Mathematical models leading to ODEs.
- Sec. 1.2: Some simple ODEs.
- Sec. 1.3: Classification of ODEs.
- Sec. 2.1: Integrating factor method for linear ODEs.
- Sec. 2.2: Separation of variables.
- Sec. 2.4: Existence/uniqueness theorems. Superposition principle for linear ODEs.
- Sec. 2.5: Autonomous ODEs. Phase lines, equilibria, and stability.
Midterm 1: Sample exam
Solutions to sample midterm questions
Midterm 1: Solutions
Midterm 2
Midterm 2: Wednesday, May 21, 2:10–3:00 p.m.
Final
Final (Exam Code B): Saturday, June 7, 10:30 a.m. – 12:30 p.m.
Homework
Homework problems will be assigned on this web page, but homework will not be collected or graded. Selected homework solutions will be posted
after the suggested completion date.
Course Grade
The course grade will be based on (weights in parentheses):
- Midterms (30% each)
- Final (40%)
Text for Math 22B
Elementary Differential Equations and Boundary Value Problems, William E. Boyce and Richard C. DiPrima,
Eighth edition, John Wiley & Sons, 2005.
The course will cover Chapters: 1, 2, 3, 6, 7
- First order differential equations
- Second order linear equations
- Laplace transforms
- First order linear systems
The department syllabus
gives a detailed outline.
The publisher has a companion
web site for the text, which includes Maple, MATLAB and Mathematica files
for ODEs, and information about the ODE architect software included with the
text.
An additional resource for Math 22B is Craig Tracy's
Lectures on Ordinary Differential Equations.
Computer Accounts
The class will not have assignments that involve computation.
However, if you want to use numerical packages such as MATLAB to increase your understanding
of differential equations, you can sign up
with the mathematics department for a class account.
I will post some simple MATLAB files for ODEs here,
or you can write your own.
Homework Assignments
Set 1 (Friday, April 4)
- Sec. 1.1, p.7: 22, 23
- Sec. 1.2, p.15: 3, 8, 15, 17
- Sec. 1.3, p.24: 1– 6, 9, 15, 16, 29, 30
Solutions
Figures for solutions
Set 2 (Friday April 11):
- Sec 2.1, p. 39– 41: 14, 16, 20, 22 (b) (c), 30
- Sec 2.2, p. 47– 50: 1, 3, 7, 13, 26, 30 (a)--(e)
- Sec 2.4, p. 75–77: 1, 6, 7, 9, 13, 14, 21, 23, 26, 27, 28, 32
Solutions
Set 3 (Friday, April 18):
- Sec. 2.5, p. 88–94: 2, 3, 4, 5, 9, 13, 20, 25, 27, 28
- Sec. 2.7, p. 108–109: 1, 4 [only do these if you can use MATLAB], 20, 21
Read Section 2.7 on Numerical approximations on your own. We won't cover it in class lectures.
Solutions
Figure 1 for solutions
Figure 2 for solutions
Set 4 (Friday, May 2):
- Sec. 3.1, p. 142–143: 2, 5, 6, 9, 12, 16, 21, 27, 28
- Sec. 3.2, p. 151–153: 1, 2, 4, 5, 8, 12, 13, 14, 15, 16, 21, 24, 26, 27
Set 5 (Friday, May 9):
- Sec. 3.3, p. 158–159: 1, 2, 5, 6, 9, 12, 17, 21, 27, 28
- Sec. 3.4, p. 164–166: 2, 4, 5, 11, 12, 17, 19, 27, 31, 38, 39
- Sec. 3.5, p. 172–174: 1, 4, 7, 12, 18, 20, 21, 22
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