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Algebra and Trigonometry : Graphing and Data Analysis by Michael Sullivan (1997, Hardcover)

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About this product

Product Identifiers

PublisherPrentice Hall PTR

ISBN-100137784813

ISBN-139780137784813

eBay Product ID (ePID)44802

Product Key Features

Number of Pages1137 Pages

Publication NameAlgebra and Trigonometry : Graphing and Data Analysis

LanguageEnglish

SubjectAlgebra / General, Trigonometry

Publication Year1997

TypeTextbook

Subject AreaMathematics

AuthorMichael Sullivan

FormatHardcover

Dimensions

Item Height1.5 in

Item Weight77.9 Oz

Item Length10.2 in

Item Width8.2 in

Additional Product Features

Intended AudienceCollege Audience

LCCN97-023428

Dewey Edition21

IllustratedYes

Dewey Decimal510

Edition DescriptionAnnual

Table Of Content(NOTE: Chapters end with Chapter Review .) 1. Graphs. Data and its Representation. Rectangular Coordinates; Graphing Utilities; Data in Ordered Pairs. Graphs of Equations. Lines. Parallel and Perpendicular Lines; Circles. Linear Curve Fitting. Variation. 2. Functions and Their Graphs. Functions. More About Functions. Graphing Techniques. Operations on Functions; Composite Functions. Mathematical Models: Constructing Functions. 3. Equations and Inequalities. Solving Equations Using A Graphing Utility. Linear and Quadratic Equations. Setting Up Equations: Applications. Other Types of Equations. Inequalities. Equations and Inequalities Involving Absolute Value. 4. Polynomial and Rational Functions. Quadratic Functions; Curve Fitting. Power Functions; Curve Fitting. Polynomial Functions; Curve Fitting. Rational Functions. The Real Zeros of a Polynomial Function. Complex Numbers; Quadratic Equations with a Negative Discriminant. Complex Zeros; Fundamental Theorem of Algebra. Polynomial and Rational Inequalities. 5. Exponential and Logarithmic Functions. One-to-One Functions; Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay. Exponential, Logarithmic, and Logistic Curve Fitting. Logarithmic Scales. 6. Trigonometric Functions. Angles and Their Measure. Right Triangle Trigonometry. Computing the Values of Trigonometric Functions of Given Angles. Trigonometric Functions of a General Angle. Properties of the Trigonometric Functions. Graphs of the Trigonometric Functions. The Inverse Trigonometric Functions. 7. Analytic Trigonometry. Trigonometric Identities. Sum and Difference Formulas. Double-Angle and Half-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. Trigonometric Equations. 8. Applications of Trigonometric Functions. Solving Right Triangles. The Law of Sines. The Law of Cosines. The Area of a Triangle. Sinusoidal Graphs: Sinusoidal Curve Fitting. Simple Harmonic Motion: Damped Motion. 9. Polar Coordinates; Vectors. Polar Coordinates. Polar Equations and Graphs. The Complex Plane; Demoivre's Theorem. Vectors. The Dot Product. 10. Analytic Geometry. Conics. The Parabola. The Ellipse. The Hyperbola. Rotation of Axes; General Form of a Conic. Polar Equations of Conics. Plane Curves and Parametric Equations. 11. Systems of Equations and Inequalities. Systems of Linear Equations: Substitution; Elimination. Systems of Linear Equations; Matrices. Systems of Linear Equations: Determinants. Matrix Algebra. Partial Fraction Decomposition. Systems of Nonlinear Equations. Systems of Inequalities. Linear Programming. 12. Sequences; Induction; Counting; Probability. Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. Sets and Counting Permutations and Combinations. Probability. Appendix Review: Topics from Algebra and Geometry. Polynomials and Rational Expressions. Radicals; Rational Exponents. Solving Equations. Completing the Square. Synthetic Division. Answers. Index.

SynopsisDesigned for the Precalculus course covering Algebra and Trigonometry. This text covers right angle trigonometry first and then develops the unit circle approach. This text requires student use of graphing calculators or a computer based software program. For schools who wish to cover unit circle first, please see "Precalculus: Graphing and Data Analysis". The goal of this text is to provide a solid mathematical foundation via visualization of real world data. Technology is used as a tool to solve problems, motivate concepts, explore and preview mathematical concepts and to find curves of best fit to the data. Most mathematical concepts are developed and illustrated both algebraically and graphically - with the more intuitive and appropriate method presented first., The goal of this book is to provide a solid mathematical foundation via visualization of real world data. This book uses technology as a tool to solve problems, motivate concepts, explore and preview mathematical concepts and to find curves of best fit to the data. Most mathematical concepts are developed and illustrated both algebraically and graphically, with the more intuitive and appropriate method presented first. The authors use their extensive teaching and writing experiences to guide and support readers through the typical difficult areas., Covers graphing and data analysis in relation to algebra and trigonometry. This volume uses graphing utilities to help students analyze data and find curves of best fit. Each chapter features Internet Exploration which introduces students to live data.

LC Classification NumberQA152.2.S85 1998