Mathematical methods of biological processes: Math 484/684

This course provides an introduction to mathematical methods in biology. In particular, the elements of the dynamical systems theory will be presented. The focus is on development of the pertinent mathematical theory, and the biological applications are used mainly to illustrate mathematical concepts.

Mathematical modeling in biology requires a wide variety of mathematical tools. One of the main such tools is the dynamical systems theory. Therefore, the main objective of the course is to learn the basics of the mathematical theory of deterministic dynamical systems. The biological applications will serve to motivate and illustrate mathematical techniques presented in the course. I tentatively plan to include the following topics (the last two if time permits):
Fall 2015:
Lecture notes:

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