Elementary Mathematical Modeling / Edition 2

Elementary Mathematical Modeling / Edition 2

by Davis, C. Henry Edwards, Mary Ellen Davis
     
 

ISBN-10: 0131450352

ISBN-13: 9780131450356

Pub. Date: 01/06/2007

Publisher: Pearson

This introduction to mathematical modeling uses elementary functions to describe and explore real-world data and phenomena.

 

Helps readers connect math with the world around them through real-world applications of elementary mathematics. Shows how to

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Overview

This introduction to mathematical modeling uses elementary functions to describe and explore real-world data and phenomena.

 

Helps readers connect math with the world around them through real-world applications of elementary mathematics. Shows how to construct useful mathematical models, how to analyze them critically, and how to communicate quantitative concepts effectively. Uses concrete language and examples throughout to foster quantitative literacy.

 

For anyone interested in gaining a solid foundation in mathematical concepts.

Product Details

ISBN-13:
9780131450356
Publisher:
Pearson
Publication date:
01/06/2007
Edition description:
2ND
Pages:
450
Product dimensions:
8.30(w) x 9.90(h) x 1.10(d)

Table of Contents

(NOTE: Each chapter begins with a real-world vignette that is revisited as the chapter evolves, and concludes with a Review and a project-style Investigation.)

 

1. Functions and Mathematical Models.

Functions Defined by Tables. Functions Defined by Graphs. Functions Defined  by Formulas. Average Rate of Change.

 
2. Linear Functions and Models.

Constant Change and Linear Growth, Linear Functions and Graphs. Piecewise-Linear Functions. Fitting Linear Models to Data.

 

3. Natural Growth Models.

Percentage Growth and Interest. Percentage Decrease and Half-Life, Natural Growth and Decline in the World. Fitting Natural Growth Models to Data.


4. Exponential and Logarithmic Models.

Compound Interest and Continuous Growth. Exponential and Logarithmic Functions. Exponential and Logarithmic Data Modeling.


5. Quadratic Functions and Models.

Quadratic Functions and Graphs. Quadratic Highs and Lows. Fitting Quadratic Models to Data.


6. Polynomial Models and Linear Systems.

Solving Polynomial Equations. Solving Pairs of Linear Equations–Lots of Ways! Linear Systems of Equations. Polynomial Data Modeling.


7. Bounded Growth Models.

Limited Populations. Fitting Logistic Models to Data. Discrete Models and Chaos.

 

8. Trigonometric Models.

Periodic Phenomena and Trigonometric Functions. Trigonometric Data Modeling.



Answers to Selected Problems.

Index.

Credits.

 

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