Modeling, Functions, and Graphs Algebra for College Students

ISBN-10: 0534437095
ISBN-13: 9780534437091
Edition: 3rd 2001 (Workbook)
List price: $319.95
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Description: Popular with and respected by students interested in a Modeling Approach, Graphing, or Graphing Calculators, this book incorporates the benefits of technology and the philosophy of the reform movement into intermediate algebra. In keeping with the  More...

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Book details

List price: $319.95
Edition: 3rd
Copyright year: 2001
Publisher: Brooks/Cole
Publication date: 12/3/2001
Binding: Hardcover
Pages: 928
Size: 8.25" wide x 10.25" long x 1.25" tall
Weight: 4.180

Popular with and respected by students interested in a Modeling Approach, Graphing, or Graphing Calculators, this book incorporates the benefits of technology and the philosophy of the reform movement into intermediate algebra. In keeping with the NCTM and AMATYC standards, the authors introduce the techniques of algebra in the context of simple applications. Early and consistent emphasis on functions and graphing helps to develop mathematical models, and graphing calculators are incorporated wherever possible.

1. LINEAR MODELS Some Examples of Linear Models / Using A Graphing Calculator / Slope / Equations of Lines / Lines of Best Fit / Additional Properties of Lines 2. APPLICATIONS OF LINEAR MODELS Systems of Linear Equations in Two Variables / Solution of Systems by Algebraic Methods / Systems of Linear Equations in Three Variables / Solution of Linear Systems Using Matrices / Linear Inequalities in Two Variables 3. QUADRATIC MODELS Extraction of Roots / Some Examples of Quadratic Models / Solving Quadratic Equations by Factoring / Graphing Parabolas; Special Cases / Completing the Square / Quadratic Formula 4. APPLICATIONS OF QUADRATIC MODELS Graphing Parabolas: the General Case / Curve Fitting / Problem Solving / Quadratic Inequalities / Solving Quadratic Inequalities Algebraically 5. FUNCTIONS AND THEIR GRAPHS Definitions and Notation / Graphs of Functions / Some Basic Graphs / Domain and Range / Variation / Functions as Mathematical Models / 6. POWERS AND ROOTS Integer Exponents / Roots and Radicals / Rational Exponents / The Distance and Midpoint Formulas / Working with Radicals / Radical Equations 7. EXPONENTIAL MODELS Exponential Growth and Decay / Exponential Functions / Logarithms / Logarithmic Functions / Properties of Logarithms / The Natural Base 8. POLYNOMIAL AND RATIONAL FUNCTIONS Polynomial Functions / Graphing Polynomial Functions / Rational Functions / Operations on Algebraic Fractions / More Operations on Algebraic Fractions / Equations That Include Algebraic Fractions 9. SEQUENCES AND SERIES Sequences / Arithmetic and Geometric Sequences / Series / Sigma Notation and Infinite Geometric Series / The Binomial Expansion 10. MORE ABOUT FUNCTIONS Transformations of Functions / Using Function Notation / Inverse Functions / More about Modeling / Joint Variation 11. MORE ABOUT GRAPHS Conic Sections / Translated Conics / Systems of Quadratic Equations / Linear Programming / Displaying Data / APPENDIX A: REVIEW TOPICS / APPENDIX B: THE NUMBER SYSTEM / APPENDIX

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