Welcome to the Home Page for Mathematics
427K-H for Spring 2009.
This has as a prerequisite a year of
calculus, although some students will have taken some vector caculus
and/or linear algebra. In the course we study differential equations
and systems of differential equations and their applications. We use
and develop as tools matrix algebra, elementary complex numbers and, of
course, lots of calculus. The graphics
obtainable using simple computer software, especially dfield and
dplane, give nice pictures and help mathematicians understand the
conceptual link between matrix computations, differential equations and
simple applications, especially growth and decay of physical entities.
This gives many stdents an intuition as to what calculus is all
about. There is even a little chaos towards the beginning of the
Your Professor is Karen
Uhlenbeck. Her e-mail is firstname.lastname@example.org.
Teaching Assistant for this course will be Orit Davidovich.
Office hours are M 1:15-2:00, W 10-10;50 F 2-3:15 and by
drop-in. Office number is RLM 9.160. Call Lizbeth Lynch at
471-6237 to make an appointment or leave a message.
The unique number
for the course is 56905 and the class is in RLM 6.104.
Detailed information about the course including a tentative syllabus
and grading policy is available on the first day handout.
Please read this to be
sure you belong in this section of 427K and that you understand what is
expected of you in the course. Here is a synopsis of the important
information: &1.This is an honors course. Students will be expected
do simple proofs. Grades are high, and the competition is stiff.
&2.Professor Uhlenbeck asks that each student come to
her office at least once before April
for a brief discussion (about the course, about math in
general, about the project and/or about life in general). &3. We
will be using standard
mathematical software (matlab, maple). You can obtain an account in the
computer lab RLM 7.122. My understanding is that if you log in
with your UTEID the math system automatically allows you to get a math
account. There are proctors there who will help you. Of course, you can
do your homework anyhow and anywhere. This is for those of you,
like me, who are computer amateurs. Don't worry about the computer
aspect. I do all the computer homework, and if I can do it, you
can do it. &4. An important part of the course is the project. Both
sample projects, and the
project grade sheet will be available to guide you.
Projects may be done in groups or two or
three individuals. If you do not wish to do a project
or use mathematical software to solve problems, it would be wise to
enroll in another section of 427K.
Firstday handout (here)
List of lectures, book chapters and exercises (here).
Notes on linearization
Remarks on the first exam.
will be held February 10 in the TA classroom.
on projects. View
ideas about project
Information on ode45
Remarks on the second exam.
will be held March 27 in the lecture room.
Updated Project information (here
Updated ideas for project topics(here).
Project grade form for 2009(here
The third midterm in on Wednesday May 6 in the lecture room. Here are the sections which will be covered.
Projects are due Monday, May 11
Preliminary list of references on reserve in APM library(here)
. At the moment these are mostly
applications, as that is what I emphasized in past classes. I
will add some theory books. These should go on reserve soon. I also
have books in my office which can be signed out.
Computer information from 07(here
First assignment (due Thursday January 29)
Second assignment (due Thursday February 5)
Extra credit assignment three due Monday Feb16.
Homework 3 due Thursday February 19