Beginning Graduate Seminar in Math
This seminar will be offered Tu Th 11:00-12:15 in RLM 9.160
professors Davis and Uhlenbeck.
The seminar is intended to introduce first year graduate students
undergraduate students to some of the subjects in mathematical
biology. The course will be in a seminar rather than lecture
We will begin by rapidly reviewing basic discrete and
continuous methods of modeling and explicitly look at the basic
population models, some elementary enzyme
kinetics, the Hodgkin-Huxley and Fitzhugh-Nagamo equations for nerve
impulses and basic epidemiolgy models. The seminar will diverge
in the directions of interest to the participants; these topics could
include such topics as more advanced epidemiology, molecular evolution,
the BZ chemical reactions and some elementary pattern formation.
There will be a few set lectures on basic topics, regular seminar
contributions by the participants and guest lectures by advanced
students and professors. Students will be asked to work on a short
project or paper on a more advanced topic which is of specific interest
to the student and present this towards the end of the term. We also
encourage some level of experimentation with matlab.
Prerequisites are basic undergraduate courses in ordinary differential
equations, linear algebra and some mathematical sophistication.
Interested students should e-mail
either Professor Davis (firstname.lastname@example.org)
or Professor Uhlenbeck (email@example.com).
Models in Biology, SIAM, Classics in
Applied Mathematics. (A basic reference for the course.)
Strogatz, Non-linear Dynamics and
Chaos, Westview (excellent review).
Allman and Rhodes, Mathematical
Models in Biology, Cambridge.
Britton, Essential Mathematical
Keener and Sneyd, Mathematical
Physiology, Springer (good grad text).
Murray, Mathematical Biology,