College Algebra (with CD-ROM, BCA/iLrn Tutorial, and InfoTrac®) - Hardcover

Stewart, James; Redlin, Lothar

 
9780534405991: College Algebra (with CD-ROM, BCA/iLrn Tutorial, and InfoTrac®)
Hardcover
ISBN 10: 0534405991 ISBN 13: 9780534405991
Publisher: Cengage Learning, 1980

Synopsis

James Stewart, author of the worldwide, best-selling Calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this text to address a problem they frequently saw in their calculus courses: many students were not prepared to think mathematically but attempted instead to memorize facts and mimic examples. "College Algebra" was written specifically to help students learn to think mathematically and to develop true problem-solving skills. This comprehensive, evenly paced book highlights the authors' commitment to encouraging conceptual understanding. To implement this goal, Stewart, Redlin, and Watson incorporate technology, the rule of four, real-world applications, and extended projects and writing exercises to enhance a central core of fundamental skills.

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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.

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Publisher
Cengage Learning
Publication date
1980
Language
English
ISBN 10 
0534405991
ISBN 13 
9780534405991
Binding
Hardcover
Edition number
4
Number of pages
700