Existence and uniqueness for solutions of ordinary differential equations, flows,
linear systems, nonlinear systems, stable manifold theorem, Hartman-Grobman theorem, periodic solutions, bifurcation theory.
Meeting Time: MWF 2:00 AM -- 2:50 AM
Location: HB 427
Email: dhl1 at rice dot edu
Office: Herman Brown 422
Office Hours: M 3:30 PM--5:00 PM, Th 2:30 PM-- 4:00 PM or by appointment
I will not strictly follow a book. However, you may find the following books useful:
Perko, Lawrence, Differential equations and dynamical systems.
Third edition. Texts in Applied Mathematics, 7. Springer-Verlag, New York, 2001. xiv+553 pp. ISBN: 0-387-95116-4
Robinson, R. Clark, An introduction to dynamical systems: continuous and discrete.
Pearson Prentice Hall, Upper Saddle River, NJ, 2004. xiv+652 pp. ISBN: 0-13-143140-4
In assigning final letter grades, your work will be weighed in the following manner:
The homework assignment will be available a week before
its due date above on this website. Homework is due by the
beginning of class on Friday.
You are allowed and are encouraged to give and receive aid while
solving homework problems, but all write-ups must be done independently
and in your own words.
midterm and the final in this class will be take home exams. You will be allowed to use your notes. However, no collaboration will be allowed.
student with a documented disability needing academic adjustments or
accommodations should speak to me as soon as possible, preferably
during the first two weeks of class. I will be happy to help you, and
all communications will remain confidential. As a reminder, you will
also need to contact Disability Support Services in the Ley Student
If you believe that you have an undocumented disability, you are
encouraged to talk to me and Disability Support Services so that you
can get help.
you have any difficulties in meeting deadlines or in taking the
midterms at the scheduled times, in particular in the case of illness,
death in the family, or extracurricular activities which require you to
be away from campus, you are encouraged to speak to me, and I will do
my best to accommodate your needs. In the case of conflicts which can
be anticipated in advance, it is requested that you notify me a week
before the due date of the assignment or the date of the exam.