Math 6324
Ordinary Differential
Equations
Announcement:
The final exam is scheduled for Thursday,
December 13, 2012. It will be held in the
regular lecture room (SEC 202) from 11am2pm.
Office hours during final exam week:
Wednesday Dec 12, 9am12pm and 2pm4pm.
I will also be available Monday Dec 10 from 23pm
and Tuesday Dec 11 from 10am12pm. You may
pick up your last homework assignment during any
of these times (if I do not put it in your
mailbox).
I have written up the proof of the stable manifold
theorem into a more legible form than the one in my
handwritten notes  the link to a pdf file is at the
right, or you can see the (identical) notes on my blog.
From the syllabus: This course is an
introduction to differential equations. We cover
linear theory: existence and uniqueness for
autonomous and nonautonomous equations; stability
analysis; stable and unstable manifolds; Floquet
theory and elementary bifurcation theory. We will
also cover topics such as quasiperiodic motion;
normal form theory; perturbation theory and
classical mechanics.
 Lectures are Tuesdays and Thursdays,
11:30am1pm in SEC 202.
 My office is PGH 651A. Office hours are
9:3010:30am on Tuesdays and 10:3011:30am on
Wednesdays, or by appointment at other times.
Textbooks:
You are not required to buy a textbook for this
course  the notes from lectures will be the primary
reference. However, the book
will be useful to have, and closely mirrors the
topics we will cover. Another useful text is
Of the two, HirschSmale is more accessible and more
directly useful for this course. I have placed
both books on reserve in the library (2 day loan
period).
At a similar level to HirschSmale's book, but
rather more concise and with less explanation of the
preliminaries from linear algebra, real analysis,
etc., is
The following three books are good references and
also lead into more advanced topics:
Coursework:
There
will be one midterm (worth 20 points), a final exam
(30 points) as well as 2 to 4 takehome problem
sheets (to make up 50 points in total). These
will be announced in class several weeks in advance
and will also be posted on this website.


 Lecture notes
 Problem sets
 #1 (due Sep. 20)
 #2
(due Oct. 18)
 #3
(due Nov. 20)
 #4
(due Dec. 6)
