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Functions and Change A Modeling Approach to College Algebra

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2006-01-05
  • Publisher: Brooks Cole
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List Price: $308.95


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 Given by Formulas
Functions Given by Tables
Functions Given by Graphs
Functions Given by Words
Graphical and Tabular Analysis
Tables and Trends
Solving Linear Equations
Solving Nonlinear Equations
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
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
Table of Contents provided by Publisher. All Rights Reserved.

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