College Algebra : Concepts and Contexts
ISBN: 9780495387893 | 0495387894
Edition: 1stFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/5/2010
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This book bridges the gap between traditional and reform approaches to algebra encouraging users 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 users' majors.
| Data, Functions, and Models | |
| Making Sense of Data | |
| Visualizing Relationships in Data | |
| Equations: Describing Relationships in Data | |
| Functions: Describing Change | |
| Function Notation: The Concept of Function as a Rule | |
| Working with Functions: Graphs and Graphing Calculators | |
| Working with Functions: Getting Information from the Graph | |
| Wor... MORE | |
| Making and Using Formulas | |
| Concept Check and Review | |
| Bias in Presenting Data | |
| Collecting and Analyzing Data | |
| Every Graph Tells a Story | |
| Linear Functions and Models | |
| Working with Functions: Average Rate of Change | |
| Linear Functions: Constant Rate of Change | |
| Equations of Lines: Making Linear Models | |
| Varying the Coefficients: Direct Proportionality | |
| Linear Regression: Fitting Lines to Data | |
| Linear Equations: Getting Information from a Model | |
| Linear Equations: Where Lines Meet | |
| Concept Check and Review | |
| When Rates of Change | |
| Linear Patterns | |
| Bridge Science | |
| Correlation and Causation | |
| Fair Division of Assets | |
| Exponential Functions and Models | |
| Exponential Growth and Decay | |
| Exponential Models: Comparing Rates | |
| Comparing Linear and Exponential Growth | |
| Graphs of Exponential Functions | |
| Fitting Exponential Curves to Data | |
| Concept Check and Review | |
| Extreme Numbers: Scientific Notation | |
| So You Want to be a Millionaire? | |
| Linear Patterns | |
| Modeling Radioactivity with Coins and Dice | |
| Logarithms and Exponential Models | |
| Logarithmic Functions | |
| Laws of Logarithms | |
| Logarithmic Scales | |
| The Natural Exponential and Logarithmic Functions | |
| Exponential Equations: Getting Information from Model | |
| Working With Functions: Composition and Inverse | |
| Concept Check and Review | |
| Super Origami | |
| Orders of Magnitude | |
| Semi-Log Graphs | |
| The Even-Tempered Clavier | |
| Quadratic Functions and Models | |
| Working with Functions: Shifting and Stretching | |
| Quadratic Functions and their Graphs | |
| Maxima and Minima: Getting Information from a Model | |
| Quadratic Equations: Getting Information from a Model | |
| Fitting Quadratic Curves to Data | |
| Concept Check and Review | |
| Transformation Stories | |
| Toricelli's Law | |
| Quadratic Patterns | |
| Power, Polynomial, and Rational Functions | |
| Working with Functions: Algebraic Operations | |
| Power Functions: Positive Powers | |
| Polynomial Functions: Combining Power Functions | |
| Fitting Power and Polynomial Curves to Data | |
| Power Functions: Negative Powers | |
| Rational Functions | |
| Concept Check and Review | |
| Only in the Movies? | |
| Proportionality: Shape and Size | |
| Managing Traffic | |
| Alcohol and the Surge Function | |
| Systems of Equations and Categorical Data | |
| Systems of Linear Equations in Two Variables | |
| Systems of Linear Equations in Several Variables | |
| Using Matrices to Solve Systems of Linear Equations | |
| Matrices and Categorical Data | |
| Matrix Operations: Getting Information from Data | |
| Matrix Equations: Solving a Linear System | |
| Concept Check and Review | |
| Collecting Categorical Data | |
| Will the Species Survive? | |
| Working With Numbers | |
| Numbers and Their Properties | |
| The Number Line and Intervals | |
| Integer Exponents | |
| Radicals and Rational Exponents | |
| Working with Expressions | |
| Combining Algebraic Expressions | |
| Factoring Algebraic Expressions | |
| Rational Expressions | |
| Working with Equations | |
| Solving Basic Equations | |
| Solving Quadratic Equations | |
| Solving Basic Inequalities | |
| Working with Graphs | |
| The Coordinate Plane | |
| Graphs of Two-Variable Equations | |
| Using a Graphing Calculator | |
| Solving Equations and Inequalities Graphically | |
| Table of Contents provided by Publisher. All Rights Reserved. |
