Ordinary Differential Equations
for Scientists and Engineers
Math 331 sec. 3, Fall 2009
Welcome to my differential equations class page !!
All class announcements and assignments appear here.
Information
Robin Young is the instructor. Here
are my office hours.
Class meets : Tuesday and Thursday at 1:00 pm in Goessmann Lab. Addtn, room 51.
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The text is : |
"Elementary Differential Equations," 9th. ed.
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by Boyce & DiPrima
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Wiley, 2009.
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Teaching Assistants:
Yannan
Shen is the TA for my section.
You are welcome to attend any of the shared TA office hours:
| Yannan Shen |
shen |
LGRT 1341 |
Monday 2:00--4:00, |
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Wednesday 2:00--4:00. |
| Sami Zreik |
zreik |
LGRT 1337 |
Tuesday 12:00--1:30, |
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Thursday 12:00--1:30. |
TA email addresses are
name<at>math<dot>umass<dot>edu.
Course work
Links to WeBWorK
and regular assignments are posted on my assignments page.
We'll have a midterm and a final exam. The midterm will be
Tuesday, October 20th, in class. Here's a
practice exam. Here's the
exam with solutions.
The final exam has been scheduled: it is Thursday, December 17th at
4:00 pm in Goessman A51. Near the time, I'll likely post a
practice exam.
Grades will be based on assigned work and class interaction
and participation. A possible rough breakdown of grades is : final
30%, midterm 25%, WeBWorK 20%, HW/quizzes 15% and class participation
and demonstrated effort (subjective) 10%.
Technology
The use of mathematical software is appropriate, but you should be
aware of what (and roughly how) the software you are using does.
Ideally, you should be able to do simple examples of the same sort
yourself (i.e. draw slope fields, compute Laplace transforms, etc.)
You may use software such as Sage
or proprietary programs, or you can use some of the many applets on
the web.
Some useful websites:
Syllabus
Here's a detailed syllabus. We'll work
through Boyce and DiPrima; I hope to cover Chapters 1-3 and 6-8.
- Chap 1: Intro to the subject.
- Chap 2: First order equations: linear & separable eqs, first
order models, exact equations, mention a couple of other
techniques.
- Chap 3: Second order equations: homogeneous constant coefft,
linearity, the Wronskian, complex & repeated roots,
undetermined coefficients & variation of parameters,
oscillations.
- Chap 6: Laplace transform: definition & initial value
problems, step functions, impulses, convolutions.
- Chap 7: First order linear systems: review of matrices &
linearity, eigenvalues & eigenvectors, homogeneous
constant coefficients, complex & repeated eigenvalues,
exponents of matrices, nonhomogeneous systems.
- Chap 8: Numerical methods: Euler's method, truncation error,
Runge-Kutta & multistep methods, extensions to systems.
Your Responsibilities
Please ask questions in and out of class. About assigned work: I will
usually assign homework, and will collect it every three classes or
so. There will usually be at least a week for each assignment. That
said, start early and please turn it in on time! Be warned:
the problem sets are longer than one night's worth of work, and need
to be done as we cover the relevant coursework. We are all adults
here, and it is your responsibility to come up with a system that
works for you. I don't have the time, energy or desire to tell you
which problems to do each night.
Remember that we learn best by doing, and so help your colleagues out
as much as you can (with hints and discussion, not copies of
solutions). I like a relaxed class with a lot of dialogue, but please
do be sensitive to the mood and pace of the class.
Schedule
We will work steadily through Boyce & DiPrima, although I usually
won't lecture directly from it. Be sure to read the book, and
read ahead! In an ideal world, I'd try to spend
approximately the following time on each chapter:
- Chap. 1 (Intro): 1 1/2 weeks
- Chap. 2 (First Order Eqs): 2 weeks
- Chap. 3 (Second Order Eqs): 3 weeks
- Chap. 6 (Laplace transform): 2 weeks
- Chap. 7 (Systems): 2 weeks
- Chap. 8 (Numerics): 1 week
This totals 11 1/2 weeks. Of course, how fast we go will evolve
during the semester!
Please note that this is a guide only, and should not be taken as
official!
maintained by Robin Young