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Full Description
By connecting applications, modeling, and visualization, Gary Rockswold motivates students to learn mathematics in the context of their experiences. In order to both learn and retain the material, students must see a connection between the concepts and their real lives. In this new edition, connections are taken to a new level with "See the Concept" features, where students make important connections through detailed visualizations that deepen understanding. Rockswold is also known for presenting the concept of a function as a unifying theme, with an emphasis on the rule of four (verbal, graphical, numerical, and symbolic representations). A flexible approach allows instructors to strike their own balance of skills, rule of four, applications, modeling, and technology. 0321900456 / 9780321900456 Algebra and Trigonometry with Modeling & Visualization Plus MyMathLab with Pearson eText - Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321826124 / 9780321826121 Algebra and Trigonometry with Modeling & Visualization
Contents
1. Introduction to Functions and Graphs1.1 Numbers, Data, and Problem Solving1.2 Visualizing and Graphing DataChecking Basic Concepts for Sections 1.1 and 1.21.3 Functions and Their Representations1.4 Types of Functions and Their Rates of ChangeChecking Basic Concepts for Sections 1.3 and 1.4Chapter 1 SummaryChapter 1 Review ExercisesChapter 1 Extended and Discovery Exercises2. Linear Functions and Equations2.1 Equations of Lines2.2 Linear EquationsChecking Basic Concepts for Sections 2.1 and 2.22.3 Linear Inequalities2.4 More Modeling with FunctionsChecking Basic Concepts for Sections 2.3 and 2.42.5 Absolute Value Equations and InequalitiesChecking Basic Concepts for Section 2.5Chapter 2 SummaryChapter 2 Review ExercisesChapter 2 Extended and Discovery ExercisesChapters 1-2 Cumulative Review Exercises3. Quadratic Functions and Equations3.1 Quadratic Functions and Models3.2 Quadratic Equations and Problem SolvingChecking Basic Concepts for Sections 3.1 and 3.23.3 Complex Numbers3.4 Quadratic InequalitiesChecking Basic Concepts for Sections 3.3 and 3.43.5 Transformations of GraphsChecking Basic Concepts for Section 3.5Chapter 3 SummaryChapter 3 Review ExercisesChapter 3 Extended and Discovery Exercises4. More Nonlinear Functions and Equations4.1 More Nonlinear Functions and Their Graphs4.2 Polynomial Functions and ModelsChecking Basic Concepts for Sections 4.1 and 4.24.3 Division of Polynomials4.4 Real Zeros of Polynomial FunctionsChecking Basic Concepts for Sections 4.3 and 4.44.5 The Fundamental Theorem of Algebra4.6 Rational Functions and ModelsChecking Basic Concepts for Sections 4.5 and 4.64.7 More Equations and Inequalities4.8 Radical Equations and Power FunctionsChecking Basic Concepts for Sections 4.7 and 4.8Chapter 4 SummaryChapter 4 Review ExercisesChapter 4 Extended and Discovery ExercisesChapters 1-4 Cumulative Review Exercises5. Exponential and Logarithmic Functions5.1 Combining Functions5.2 Inverse Functions and Their RepresentationsChecking Basic Concepts for Sections 5.1 and 5.25.3 Exponential Functions and Models5.4 Logarithmic Functions and ModelsChecking Basic Concepts for Sections 5.3 and 5.45.5 Properties of Logarithms5.6 Exponential and Logarithmic EquationsChecking Basic Concepts for Sections 5.5 and 5.65.7 Constructing Nonlinear ModelsChecking Basic Concepts for Section 5.7Chapter 5 SummaryChapter 5 Review ExercisesChapter 5 Extended and Discovery Exercises6. Systems of Equations and Inequalities6.1 Functions and Systems of Equations in Two Variables6.2 Systems of Inequalities in Two VariablesChecking Basic Concepts for Sections 6.1 and 6.26.3 Systems of Linear Equations in Three Variables6.4 Solutions to Linear Systems Using MatricesChecking Basic Concepts for Sections 6.3 and 6.46.5 Properties and Applications of Matrices6.6 Inverses of MatricesChecking Basic Concepts for Sections 6.5 and 6.66.7 DeterminantsChecking Basic Concepts for Section 6.7Chapter 6 SummaryChapter 6 Review ExercisesChapter 6 Extended and Discovery ExercisesChapters 1-6 Cumulative Review Exercises7. Conic Sections7.1 Parabolas7.2 EllipsesChecking Basic Concepts for Sections 7.1 and 7.27.3 HyperbolasChecking Basic Concepts for Section 7.3Chapter 7 SummaryChapter 7 Review ExercisesChapter 7 Extended and Discovery Exercises8. Further Topics in Algebra8.1 Sequences8.2 SeriesChecking Basic Concepts for Sections 8.1 and 8.28.3 Counting8.4 The Binomial TheoremChecking Basic Concepts for Sections 8.3 and 8.48.5 Mathematical Induction8.6 ProbabilityChecking Basic Concepts for Sections 8.5 and 8.6Chapter 8 SummaryChapter 8 Review ExercisesChapter 8 Extended and Discovery ExercisesChapters 1-8 Cumulative Review ExercisesR. Reference: Basic Concepts from Algebra and GeometryR.1 Formulas from GeometryR.2 Integer ExponentsR.3 Polynomial ExpressionsR.4 Factoring PolynomialsR.5 Rational ExpressionsR.6 Radical Notation and Rational ExponentsR.7 Radical ExpressionsAppendix A: Using the Graphing CalculatorAppendix B: A Library of FunctionsAppendix C: Partial FractionsAppendix D: Percent Change and Exponential FunctionsBibliographyAnswers to Selected ExercisesPhoto CreditsIndex of ApplicationsIndex
