Here are the lecture notes for the first half of my course: Math 484: Mathematical methods of biological process:
It is already clear that the tentative schedule presented on this page will not be accomplished. What I think I will be able to cover more or less rigorously includes Poincare-Bendixson theory for planar systems, analysis of limit cycles as mathematical implementations of periodic biological processes, discrete dynamical systems and definition of chaos, and general definition of a dynamical system
Mathematical Biology 