User:Johnsy/Modelling in Biology

About - Introduction and background: linear vs. nonlinear. Phase plane analysis. Stochastic and Deterministic models. One-dimensional systems: fixed point analysis; global and local stability; bifurcations. Two-dimensional systems: oscillations and limit cycles. Hopf bifurcation and Poincare-Bendixson theorem.

Professor: Dr. Mauricio Barahona Fall Term 2007 Lectures: Monday 10-11 (Mech Eng 664), Thursday 2-3 (RSM G.01) Lab: Friday 10-11 (RSM 3.38) Textbook: Strogatz, Steven. Nonlinear Dynamics and Chaos. Cambridge, MA: Westview Press, 1994.

Announcements

 * Final Examination Wednesday 14 May 2008, 14:00 - 16:00 (RSM G.01)
 * Classes start Tuesday 9 October 2007

Assignments

 * Assignment 1 (Due 5 November 2007)
 * Complete Solutions (.pdf)
 * Solutions (.doc)
 * EulerSDE.m
 * Euler.m
 * References for Assignment 1
 * Differential Equation Systems
 * 18.03 Differential Equations Video Lectures from MIT - Relevant content begins at lecture 24.
 * 18.03 Notes on Homogeneous Linear Systems - (.pdf) Good background reading


 * Assignment 2 (Due 28 November 2007)
 * subject1.dat
 * subject2.dat
 * Solutions (.doc)
 * Solutions (.pdf)


 * Assignment 3 (Due 14 December 2007)
 * Solutions (.pdf)
 * Matlab code (.zip)

Past Examination Papers

 * 2007 Examination (.pdf)
 * 2007 Examination Answers (.pdf) - Please note that there is no guarantee that these are the correct answers!