Welcome to the Home Page for Mathematics
427K-H for Spring 2007.
course follows calculus. We do differential equations and
linear algebra and the connection between them. The graphics
obtainable using simple computer software, especially dfield and
dplane, give nice pictures and help mathematicians understand the
conceptual link between matrix computations, the behavior of
differential equations, and give anintuition about 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 Carl Mautner.
to find the office hours for
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 to
do simple proofs. 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 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. 4. An important part of the course is the
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)
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.
Computer information (here
Project information (here
Ideas for project topics(here).
Schedule of Lecture Topics (click here)
Remarks on the first exam.
Project grade form is here
Remarks on the second exam.
First assignment (January 26)
Second assignment(February 2)
Third assignment(February 9)
If you are interested in computing the difference equations yourself, here
is a set of exercises and a program
which will help you. There is also some stuff about finding roots
and computing with matrices we will use later, if you feel like playing
with it ahead of time.
Fourth Assignment (February 22)
Fifth Assignment (March 2)
information about the computer programs added to the computer page.
There are also
some sample problems for the matlab program ode45.
Sixth Assignment (March 23)
Seventh Assignment (April 2)
Eighth Assignment (April 11)
Ninth Assignment ((April 23)
Tenth Assignment ((May 2)