Math 227 Fall 2014
Prof. Bose
Link
to the Department course page which includes other
pertinenent information.
1. The first unit we will cover is from A Course
in Mathematical Biology,
by Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Muller and
Birgitt Schonfisch; Chapter 1 and 2 are here in two separate pdfs: Part 1, Part II
2. The next unit is on basic models for calculating interest taken from
K.K. Tung's book Topics in Mathematical Modeling.
Here is the pdf: Interest
chapter
3. Here is a chapter on Markov
Chains.
The first 15 pages or so cover material and examples that we did in
class. You should also be able to follow most of section 11.3 which
starts on page 433 of the chapter. There are many great problems in
this chapter.
4. The next section is on data fitting methods. The following is from A First Course in Mathematical Modeling, by
Frank Giordano, William Fox, Steven Horton and
Maurice Weir: Part I, Part II
5. Here are two chapters on Standard Error (Chap 17) and Hypothesis Testing (Chap 26) taken from Statistics by David Feedman, Robert Pisani and Roger Purves .
6. This section is on dimensional analysis again using a chapter from Giordano et.al. Part I, Part II
7. The last section is on Hamiltonian systems in the plane. Here are some notes.