ABSTRACT

This text presents a wide variety of common types of models found in other mathematical modeling texts, as well as some new types. However, the models are presented in a very unique format. A typical section begins with a general description of the scenario being modeled.  The model is then built using the appropriate mathematical tools. Then it is implemented and analyzed in Excel via step-by-step instructions. In the exercises, we ask students to modify or refine the existing model, analyze it further, or adapt it to similar scenarios.

chapter 1|10 pages

What is Mathematical Modeling?

chapter 2|55 pages

Proportionality and Geometric Similarity

chapter 3|49 pages

Linear Algebra

chapter 4|31 pages

Discrete Dynamical Systems

chapter 5|49 pages

Differential Equations

chapter 6|52 pages

Simulations

chapter 7|45 pages

Linear Optimization

chapter 8|50 pages

Nonlinear Optimization