Web Page for Math 414
TEXTBOOK: "A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods," de Vries, Hillen, Lewis, Muller, Schonfisch, SIAM, 2006.
Assignment 1 (due 2/5), Problems 1.4.1, 1.4.2, 1.4.3 (some code to get you started), 2.4.5.
Assignment 2 (due 2/17), Problems 2.4.2, 2.4.9 (for this modify ParameciumAureliaNonLinFit.m, nonlin_ls.m), 2.4.14, and hand in code that generates output from the difference equation you developed in 2.4.14(b).
Assignment 3 (due 2/28, 9am 3/3 latest):
(i) modify ParameciumAureliaNonLinFit.m, nonlin_ls.m so that the optimization is over the THREE parameters [K,r,p_model(1)]. Do this for both the logistic and Beverton-Holt (using your code from HW 2) difference equations. Hand in a listing of your code and determine which model fits the data best.
(ii) 2.4.1, 2.4.4, 2.4.13, and write a small piece of code that generates the solution for the parameter values given in 2.4.13 (b)
Assignment 4 (due 3/12),
Problem 2.4.18 (a) and (b); and write code that generates the output in Figures 2.21 and 2.22.
Example 1, week 1, Paramecium Aurelia using the book's technique for fitting the logistic model, to Paramecium data.
Example 2, week 3, lab codes
Example 3, week 4, skeleton code for 2_4_14, part (b).
Example 4, week 4, love affair, system of two difference equations, for generating Fig 2.19.
Example 5, week 6, phase plane/vector field MATLAB function, for Chapter 3.