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College Algebra: Concepts and Contexts

By James Stewart, Lothar Redlin, Saleem Watson, Phyllis Panman

1st Edition © 2011
Discipline:Mathematics
Course:Precalculus
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This text bridges the gap between traditional and reform approaches to algebra encouraging students to see mathematics in context. It presents fewer topics in greater depth, prioritizing data analysis as a foundation for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical concepts as well as connecting mathematics to real life situations drawn from the students' majors.

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AboutTable of contentsResourcesPricing & formatsRelated products

About this product

This text bridges the gap between traditional and reform approaches to algebra encouraging students to see mathematics in context. It presents fewer topics in greater depth, prioritizing data analysis as a foundation for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical concepts as well as connecting mathematics to real life situations drawn from the students' majors.

The problems, the models and the real life data are the three features of this book. They are used to relate the mathematics to the students' lives and to show the usefulness and relevance of the mathematics to the modern reality.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
About the Authors
Preface
Acknowledgments
Ancillaries
To the Student
Abbreviations
Prologue
1. Data, Functions, and Models*Preview this chapter
2. Linear Functions and Models
3. Exponential Functions and Models
4. Logarithmic Functions and Exponential Models
5. Quadratic Functions and Models
6. Power, Polynomial, and Rational Functions
7. Systems of Equations and Data in Categories
Media Index
Algebra Toolkit A. Working with Numbers
Algebra Toolkit B. Working with Expressions
Algebra Toolkit C. Working with Equations
Algebra Toolkit D. Working with Graphs
Formula Sheets
Show more

1. Data, Functions, and ModelsPreview this chapter ↗

1.1
Making Sense of Data
Preview this section ↗
Analyzing One-Variable Data ↗
Analyzing Two-Variable Data ↗
1.1. Exercises ↗
1.2
Visualizing Relationships in Data
Preview this section ↗
Relations: Input and Output ↗
Graphing Two-Variable Data in a Coordinate Plane ↗
Reading a Graph ↗
1.2. Exercises ↗
1.3
Equations: Describing Relationships in Data
Preview this section ↗
Making a Linear Model from Data ↗
Getting Information from a Linear Model ↗
1.3. Exercises ↗
1.4
Functions: Describing Change
Preview this section ↗
Definition of Function ↗
Which Two-Variable Data Represent Functions? ↗
Which Equations Represent Functions? ↗
Which Graphs Represent Functions? ↗
Four Ways to Represent a Function ↗
1.4. Exercises ↗
1.5
Function Notation: The Concept of Function as a Rule
Preview this section ↗
Function Notation ↗
Evaluating Functions—Net Change ↗
The Domain of a Function ↗
Piecewise Defined Functions ↗
1.5. Exercises ↗
1.6
Working with Functions: Graphs and Graphing Calculators
Preview this section ↗
Graphing a Function from a Verbal Description ↗
Graphs of Basic Functions ↗
Graphing with a Graphing Calculator ↗
Graphing Piecewise Defined Functions ↗
1.6. Exercises ↗
1.7
Working with Functions: Getting Information from the Graph
Preview this section ↗
Reading the Graph of a Function ↗
Domain and Range from a Graph ↗
Increasing and Decreasing Functions ↗
Local Maximum and Minimum Values ↗
1.7. Exercises ↗
1.8
Working with Functions: Modeling Real-World Relationships
Preview this section ↗
Modeling with Functions ↗
Getting Information from the Graph of a Model ↗
1.8. Exercises ↗
1.9
Making and Using Formulas
Preview this section ↗
What Is a Formula? ↗
Finding Formulas ↗
Variables with Subscripts ↗
Reading and Using Formulas ↗
1.9. Exercises ↗
Chapter 1. Concept Check ↗
Chapter 1. Review Exercises ↗
Chapter 1. Test ↗
Explorations ↗
Show more

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