College Algebra - Softcover

James Stewart Lothar Redlin Saleem Watson

Softcover

ISBN 10: 0534373607 ISBN 13: 9780534373603

Publisher: Thomson Learning, 2000

Synopsis

Learn to think mathematically and develop genuine problem-solving skills with Stewart, Redlin, and Watson's COLLEGE ALGEBRA, Fifth Edition. This straightforward and easy-to-use algebra book will help you learn the fundamentals of algebra in a variety of practical ways. The book features new tools to help you succeed, such as learning objectives before each section to prepare you for what you're about to learn, and a list of formulas and key concepts after each section that help reinforce what you've learned. In addition, the book includes many real-world examples that show you how mathematics is used to model in fields like engineering, business, physics, chemistry, and biology.

About this title

Review

1. 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. Working with Functions: Modeling Real-World Relationships. Making and Using Formulas. Concept Check and Review. EXPLORATION 1: Bias in Presenting Data. EXPLORATION 2: Collecting and Analyzing Data. EXPLORATION 3: Every Graph Tells a Story. 2. 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. EXPLORATION 1: When Rates of Change. EXPLORATION 2: Linear Patterns. EXPLORATION 3: Bridge Science. EXPLORATION 4: Correlation and Causation. EXPLORATION 5: Fair Division of Assets. 3. 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. EXPLORATION 1: Extreme Numbers: Scientific Notation. EXPLORATION 2: So You Want to be a Millionaire? EXPLORATION 3: Linear Patterns. EXPLORATION 4: Modeling Radioactivity with Coins and Dice. 4. 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. EXPLORATION 1: Super Origami. EXPLORATION 2: Orders of Magnitude. EXPLORATION 3: Semi-Log Graphs. EXPLORATION 4: The Even-Tempered Clavier. 5. 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. EXPLORATION 1: Transformation Stories. EXPLORATION 2: Toricelli's Law. EXPLORATION 2: Quadratic Patterns. 6. 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. EXPLORATION 1: Only in the Movies? EXPLORATION 2: Proportionality: Shape and Size. EXPLORATION 3: Managing Traffic. EXPLORATION 4: Alcohol and the Surge Function. 7. 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. EXPLORATION 1: Collecting Categorical Data. EXPLORATION 2: Will the Species Survive? ALGEBRA TOOLKIT A: WORKING WITH NUMBERS. Numbers and Their Properties. The Number Line and Intervals. Integer Exponents. Radicals and Rational Exponents. ALGEBRA TOOLKIT B: WORKING WITH EXPRESSIONS. Combining Algebraic Expressions. Factoring Algebraic Expressions. Rational Expressions. ALGEBRA TOOLKIT C: WORKING WITH EQUATIONS. Solving Basic Equations. Solving Quadratic Equations. Solving Basic Inequalities. ALGEBRA TOOLKIT D: WORKING WITH GRAPHS. The Coordinate Plane. Graphs of Two-Variable Equations. Using a Graphing Calculator. Solving Equations and Inequalities Graphically.

Edition details

• Publisher: Thomson Learning
• Publication date: 2000
• Language: English
• ISBN 10: 0534373607
• ISBN 13: 9780534373603
• Binding: Paperback