*Elementary Mathematical Models *claims a middle ground between college algebra and liberal arts mathematics. Like the college algebra course, EMM emphasizes the elementary functions of analysis: linear, quadratic, polynomial, and rational functions; square roots; exponentials; and logarithms.

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Table of Contents

Preface

Overview

Sequences and Difference Equations

Arithmetic Growth

Linear Graphs, Functions, and Equations

Quadratic Growth Models

Quadratic Graphs, Functions, and Equations

Polynomial and Rational Functions

Fitting a Line to Data

Geometric Growth

Exponential Functions

More on Logarithms

Geometric Sums and Mixed Models

Logistic Growth

Chaos in Logistic Models

Index

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About the Author

**Dan Kalman** has been writing about and teaching mathematics for over 20 years. A graduate of Harvey Mudd College (BS, 1974) and the University of Wisconsin (MA, 1975; PhD 1980), he is currently a member of the mathematics faculty at American University, Washington, DC. He previously held faculty positions at the University of Wisconsin, Green Bay and Augustana College, Sioux Falls, among other institutions, and worked as an applied mathematician at the Aerospace Corporation for several years. He also served for one year as an Associate Executive Director for MAA.

Kalman was recognized with a Pólya Award in 1994, and a Trevor Evans Award in 1997. He served as an Associate Editor for Mathematics Magazine, and has served on the Editorial Boards for the Spectrum and Classroom Resource Materials series of publications.

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MAA Review

*Elementary Mathematical Models* offers a gentle introduction into the ideas of discrete mathematical modeling with some basic extensions to continuous functions. The book is well balanced and succeeds in introducing the use of discrete models to students who might view a mathematics class with a weary eye.

The first chapter of the book is written for both teachers and students. It offers a broad overview of how the material is presented and certain expectations of the students. Moreover, an explicit discussion on the use of numerical, theoretical, and graphical approaches is given in the first chapter. This is a nice touch that sets the stage for the following chapters. Continued...