M331 Introduction to Mathematical
Modeling
Fall 2002
Text: This course will be based on class notes. (available
on web or will be handed out in class)
Meeting times: MWF 11, EE205.
Instructor: Professor
Kirby, Weber 115, kirby@math.colostate.edu
Office Hours: Monday 1:202:10;
Wednesday 10:0011:00, Thursday 10:3011:30.
Teaching Assistant: Amanda Fox, Weber 10, fox@math.colostate.edu
Office Hours: Monday, Wednesday,
Friday 12:0012:50.
Prerequisite: M160; CoRequisite: M161
WEB: http://www.math.colostate.edu/~kirby/teaching/m331/Fall2002/M331.htm
Topics Outline

The Modeling Process

Modeling with Discrete Dynamical Systems

Modeling Using Proportionality

Model Fitting

Simulation Modeling

Continuous Optimization Models

Linear Programming

Modeling with Differential Equations

Probabilistic Modeling

Dimensional Analysis and Similitude
Homework Assignments (Homework is due every Wednesday
 no homework will be accepted after class ends.)

Homework number 1. Due Wednesday, Sept. 4, 1.1, 1.2, 2.12.6.

Homework
number 1. Solutions

Homework number 2. Due Wednesday Sept. 11. Problems 2.7, 2.8, 2.9,
2.10 (omit shipping costs but do include costs of
packaging material), 2.12, 2.13; 2.11
is extra credit
Grading

Homework 40%

Group Project 10% (Groups will be formed later
in the semester)

One hour exams (3) 30%: September 20, October
18, November 20.

Final Exam 20%
Lecture Summary:

Introduction to class: Overview

Modeling with functions: supply/demand

Graphical modeling: arms race, islands

Modeling with proportions

Heart rate of mammals

Dimensional analysis