Functions and Change A Modeling Approach to College Algebra

by Crauder, Bruce; Evans, Benny; Noell, Alan

• ISBN13: 9780618643011
• ISBN10: 061864301X
• Edition: 3rd
• Format: Hardcover
• Copyright: 2006-01-05
• Publisher: Brooks Cole

Summary

Functions and Changeprovides an alternative to a traditional college algebra course for students who either will not take another math course or may go on to a business calculus course. The authors wrote this text for the many college algebra students who are poorly served by books that focus on preparing them for a course they will never take--traditional calculus. An informal approach offers clear explanations that leave out unnecessary technicalities so that students who are not comfortable with algebra will easily understand the concepts. Graphing calculator technology is integrated throughout the text as a descriptive and problem solving tool, and to help students understand abstract concepts. Functions are introduced by the "Rule of Four"--graphically, numerically, symbolically, and verbally. Diverse Modeling/Real Life Applications and Data reveal mathematics as an integral part of nature, science, and society. This real-world context allows students to check their answers against their own intuition and common sense while also making the topic more relevant and interesting to students. New!Chapter Review Exercises help students build their skills to remember key concepts from the chapter. Skill Building Exercises precede each exercise set in the text; in this edition these have expanded by approximately 5% per section. Key Idea Boxes highlight key ideas for every section. Workplace/life skills are covered by giving students plenty of opportunities to use Excel spreadsheets in the text and in the technology guide. This meets the revised AMATYC's 2006 Beyond Crossroads guidelines, which recommends teaching students workplace/life skills. Finance applications are now highlighted in Index of Applications AnotherLookwith enrichment exercises end each section in the first five chapters and is based on market feedback. These optional exercises provide a slight increase in algebraic presentation and symbol manipulation, along with general enrichment or alternative treatments of the material. While written in the same spirit as the rest of the text, theAnother Lookfeature contains more traditional coverage. Exercises include more practice setting up formulas, and a wider variety of non-science applications.

Table of Contents

Note: Each chapter concludes with a Summary. Prologue: Calculator Arithmetic

Functions

Functions Given by Formulas

Functions Given by Tables

Functions Given by Graphs

Functions Given by Words

Graphical and Tabular Analysis

Tables and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Optimization

Straight Lines and Linear Functions

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Functions

Exponential Growth and Decay

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

A Survey of Other Common Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions and Parabolas

Higher-Degree Polynomials and Rational Functions

Trigonometric Functions

Periodic Functions

Modeling Periodic Data

Right Triangle Trigonometry

Rates of Change

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change: Linear and Exponential Functions

Equations of Change: Graphical Solutions

Mathematics of Population Ecology

Population Dynamics: Exponential Growth

Population Dynamics: Logistic Growth

Population Structure: Survivorship Curves Brief Answers to Odd-Numbered Exercises

Index

Table of Contents provided by Publisher. All Rights Reserved.