Elementary Mathematical Modeling : Functions

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.

(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.)
Functions and Mathematical Models
Functions Defined by Tables
Functions Defined by Graphs
Functions Defined by Formulas
Average Rate of Change
Linear Functions and Models
Constant Change and Linear Growth, Linear Functions and Graphs
Piecewise-Linear Functions
Fitting Linear Models to Data
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
Exponential and Logarithmic Models
Compound Interest and Continuous Growth
Exponential and Logarithmic Functions
Exponential and Logarithmic Data Modeling
Quadratic Functions and Models
Quadratic Functions and Graphs
Quadratic Highs and Lows
Fitting Quadratic Models to Data
Polynomial Models and Linear Systems
Solving Polynomial Equations
Solving Pairs of Linear Equations Lots of Ways! Linear Systems of Equations
Polynomial Data Modeling
Bounded Growth Models
Limited Populations
Fitting Logistic Models to Data
Discrete Models and Chaos
Trigonometric Models
Periodic Phenomena and Trigonometric Functions
Trigonometric Data Modeling
Answers to Selected Problems
Index
Credits
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Elementary Mathematical Modeling : Functions and Graphs

Summary

Table of Contents

Supplemental Materials