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Algebra and trigonometry with modeling & visualization

Author: Gary K Rockswold
Publisher: Boston : Addison-Wesley, ©2010.
Edition/Format:   Print book : English : 4th edView all editions and formats

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Genre/Form: Textbooks
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Gary K Rockswold
ISBN: 032156801X 9780321568014 0321565096 9780321565099
OCLC Number: 246199842
Description: 1 volume (various pagings) : illustrations (some color) ; 27 cm
Contents: 1. Introduction to Functions and Graphs1.1 Numbers, Data, and Problem Solving1.2 Visualizing and Graphing Data1.3 Functions and Their Representations1.4 Types of Functions1.5 Functions and Their Rates of Change 2. Linear Functions and Equations2.1 Linear Functions and Models2.2 Equations of Lines2.3 Linear Equations2.4 Linear Inequalities2.5 Absolute Value Equations and Inequalities 3. Quadratic Functions and Equations3.1 Quadratic Functions and Models3.2 Quadratic Equations and Problem Solving3.3 Complex Numbers3.4 Quadratic Inequalities3.5 Transformations of Graphs 4. More Nonlinear Functions and Equations4.1 More Nonlinear Functions and Their Graphs4.2 Polynomial Functions and Models4.3 Division of Polynomials4.4 Real Zeros of Polynomial Functions4.5 The Fundamental Theorem of Algebra4.6 Rational Functions and Models4.7 More Equations and Inequalities4.8 Radical Equations and Power Functions 5. Exponential and Logarithmic Functions5.1 Combining Functions5.2 Inverse Functions and Their Representations5.3 Exponential Functions and Models5.4 Logarithmic Functions and Models5.5 Properties of Logarithms5.6 Exponential and Logarithmic Equations5.7 Constructing Nonlinear Models 6. Trigonometric Functions6.1 Angles and Their Measure6.2 Right Triangle Trigonometry6.3 The Sine and Cosine Functions and Their Graphs6.4 Other Trigonometric Functions and Their Graphs6.5 Graphing Trigonometric Functions6.6 Inverse Trigonometric Functions 7. Trigonometric Identities and Equations7.1 Fundamental Identities7.2 Verifying Identities7.3 Trigonometric Equations7.4 Sum and Difference Identities7.5 Multiple-Angle Identities 8. Further Topics in Trigonometry8.1 Law of Sines8.2 Law of Cosines8.3 Vectors8.4 Parametric Equations8.5 Polar Equations8.6 Trigonometric Form and Roots of Complex Numbers 9. Systems of Equations and Inequalities9.1 Functions and Systems of Equations in Two Variables9.2 Systems of Inequalities in Two Variables9.3 Systems of Linear Equations in Three Variables9.4 Solutions to Linear Systems Using Matrices9.5 Properties and Applications of Matrices9.6 Inverses of Matrices9.7 Determinants 10. Conic Sections10.1 Parabolas10.2 Ellipses10.3 Hyperbolas 11. Further Topics in Algebra11.1 Sequences11.2 Series11.3 Counting11.4 The Binomial Theorem11.5 Mathematical Induction11.6 Probability 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 Expressions Appendix A: Using the Graphing CalculatorAppendix B: A Library of FunctionsAppendix C: Partial Fractions BibliographyAnswers to Selected ExercisesIndex of ApplicationsIndex
Other Titles: Algebra and trigonometry with modeling and visualization
Responsibility: Gary K. Rockswold.
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