Department of Mathematics




Math 312 - Applied Mathematics: Social Sciences
Spring 2005


Instructor: Warren Weckesser
314 McGregory, (315) 228-7228
Email: wweckesser-at-mail-dot-colgate-dot-edu
Office Hours:Monday, Wednesday: 1:30-3:30 PM
Lecture: M,W,F 9:20-10:10, McGregory 215
Web Page: http://math.colgate.edu/~wweckesser/math312/

Course Information (in PDF format)
Final Project
Lecture Notes and Supplements

First order differential equations; population models; the logistic equation
The Solow growth model (economics); direction field; stability of an equilibrium
Solving first order DEs: separable; linear
Second order differential equations; nondimensionalizing a DE; the projectile problem
Nondimensionalize the logistic equation; dimensional analysis and the Buckingham Pi Theorem applied to the pendulum
Finding eigenvalues and eigenvectors of 2x2 matrices
Linear Two-dimensional Systems of Differential Equations. Includes finding the general solution and sketching phase portraits.
Some notes on using the PPLANE Java applet
One Dimensional Maps
Linear 2D Maps
Periodic Drug Doses
Linearization
Competing Species
"The Coin and Die Game"
Markov Chains (Updated, 30 April 2005)
Some notes on using MATLAB
Converting a map that depends on older states to a simple map


Homework

Note: Unless otherwise noted, homework is due by 5:00 PM on the given due date.

AssignmentDue Date
Homework 1 Friday, Jan. 28
Homework 2 Friday, Feb. 11
Homework 3 Friday, Feb. 25
Homework 4 Friday, April 8
Homework 5 Friday, April 22


Web Applications, Solvers, Applets, and Links

Solvers for Specific Systems of Differential Equations
Phase Plane Java Applets
Linear Map Iterators Additional Solvers One-dimensional Maps Monopoly and Markov Chains Small World Links