Modeling - Math 056

Linear and Non-Linear Difference and Differential Equations with Applications in Biology

E-mail: shews1@swarthmore.edu
Office: Martin 207
Phone: 610-957-6197
Office Hours: Tues/Thurs 12:45-2 PM and by appointment

Syllabus
Math Colloquia
Putnam Announcement

Techniques: (Difference Equations)

 

 

Calender / Course Documents / Assignments:

Week Dates Class Materials Homework
1
9/1, 9/3
Week 1 Class Problems
(pdf, html)
Due 9/3
Student Information Form

Due 9/8
HW set 1
(Solutions)
2
9/8, 9/10

Downloading Matlab
Instructions

Matlab Code
LinearDifference.m

In-class Assignment
(pdf)

Due 9/17
HW set 2
(Solutions)
3
9/15, 9/17

Matlab Code
LogisticDifference.m

Cobwebbing
(pdf, html)
Due 9/24
HW set 3
(Solutions)
4
9/22, 9/24

Presentation
Nicholson-Bailey Pt 1
Due 10/1
HW set 4
5
9/29, 10/1

Presentation
Nicholson-Bailey Pt 2

Nicholson-Bailey Paper 1
Beddington Nature 1975

Nicholson-Bailey Paper 2
Beddington Nature 1978

Phaser
Download Program

Phaser Module
Nicholson Bailey Original

Phaser Module
Nicholson Bailey Density Dependence
Due 10/6
HW set 5
6
10/6, 10/8

HIV Model Paper
Perelson Science 1996

Thurs: 1st Midterm

Enjoy Fall Break!

Due 10/22
HW set 6
7
No Class / Fall Break
8
10/20, 10/22

Phase Portraits
pplane / dfield

Michaelis-Menten
Biology Derivation
Math Derivation
Adv. Math Derivation

Spruce Budworm Paper
Ludwig et al. 1978

Due 10/29
HW set 7
9
10/27, 10/29

Meat Eaters Paper
Flannery 1993
Due 11/5
HW set 8
10
11/3, 11/5

Bifurcation Diagrams
Quick Guide

Due 11/12
HW set 9
11
11/10, 11/12
Hodgkin-Huxley
Presentation 1
Presentation 2

Due 11/19
Last Page of Presentation 2
12
11/17, 11/19

Thurs: 2nd Midterm
Review

Due 11/24
13
11/24, 11/26
Tues: Wildebeest Lecture
Thurs: Thanksgiving
Enjoy Thanksgiving!
14
12/1, 12/3

Last Assign. Papers
Dobson97
Hanski97
Scheffer01
Wootton96
Ko94

Wiki Info
Mathbio Wiki
Quick Edit Guide
Due 12/8
Last Assignment!
15
12/8 Last Day