Precalculus

Graphical, Numerical, Algebraic

Inbunden, Engelska, 2010

AvFranklin Demana,Bert Waits,Gregory Foley,Daniel Kennedy

2 309 kr

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For use in a graphing required precalculus course, this nationally recognized author team has created a text with the perfect balance of graphical and algebraic representation. With examples and exercises for all levels of students, a focus on the twelve basic functions, and a new section on Data Analysis and Statistical Inference, this is the most current and effective precalculus text on the market today.

Produktinformation

Utgivningsdatum2010-08-25
Mått234 x 279 x 38 mm
Vikt2 214 g
FormatInbunden
SpråkEngelska
Antal sidor984
Upplaga8
FörlagPearson Education
ISBN9780131369061

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Chapter P Prerequisites P.1 Real NumbersP.2 Cartesian Coordinate SystemP.3 Linear Equations and InequalitiesP.4 Lines in the PlaneP.5 Solving Equations Graphically, Numerically, and AlgebraicallyP.6 Complex NumbersP.7 Solving Inequalities Algebraically and GraphicallyKey IdeasReview Exercises Chapter 1 Functions and Graphs 1.1 Modeling and Equation Solving1.2 Functions and Their Properties1.3 Twelve Basic Functions1.4 Building Functions from Functions1.5 Parametric Relations and Inverses1.6 Graphical Transformations1.7 Modeling with FunctionsKey IdeasReview ExercisesChapter Project Chapter 2 Polynomial, Power, and Rational Functions 2.1 Linear and Quadratic Functions and Modeling2.2 Power Functions with Modeling2.3 Polynomial Functions of Higher Degree with Modeling2.4 Real Zeros of Polynomial Functions2.5 Complex Zeros and Fundamental Theorem of Algebra2.6 Graphs of Rational Functions2.7 Solving Equations in One Variable2.8 Solving Inequalities in One VariableKey IdeasReview Exercises Chapter Project Chapter 3 Exponential, Logistic, and Logarithmic Functions 3.1 Exponential and Logistic Functions3.2 Exponential and Logistic Modeling3.3 Logarithmic Functions and Their Graphs3.4 Properties of Logarithmic Functions3.5 Equation Solving and Modeling3.6 Mathematics of FinanceKey IdeasReview Exercises Chapter Project Chapter 4 Trigonometric Functions 4.1 Angles and Their Measures4.2 Trigonometric Functions of Acute Angles4.3 Trigonometry Extended: The Circular Functions4.4 Graphs of Sine and Cosine: Sinusoids4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant4.6 Graphs of Composite Trigonometric Functions4.7 Inverse Trigonometric Functions4.8 Solving Problems with TrigonometryKey IdeasReview Exercises Chapter Project Chapter 5 Analytic Trigonometry 5.1 Fundamental Identities5.2 Proving Trigonometric Identities5.3 Sum and Difference Identities5.4 Multiple-Angle Identities5.5 The Law of Sines5.6 The Law of CosinesKey IdeasReview Exercises Chapter Project Chapter 6 Applications of Trigonometry 6.1 Vectors in the Plane6.2 Dot Product of Vectors6.3 Parametric Equations and Motion6.4 Polar Coordinates6.5 Graphs of Polar Equations6.6 De Moivre’s Theorem and nth RootsKey IdeasReview Exercises Chapter Project Chapter 7 Systems and Matrices 7.1 Solving Systems of Two Equations7.2 Matrix Algebra7.3 Multivariate Linear Systems and Row Operations7.4 Partial Fractions7.5 Systems of Inequalities in Two VariablesKey IdeasReview Exercises Chapter Project Chapter 8 Analytic Geometry in Two and Three Dimensions 8.1 Conic Sections and Parabolas8.2 Ellipses8.3 Hyperbolas8.4 Translation and Rotation of Axes8.5 Polar Equations of Conics8.6 Three-Dimensional Cartesian Coordinate SystemKey IdeasReview Exercises Chapter Project Chapter 9 Discrete Mathematics 9.1 Basic Combinatorics9.2 The Binomial Theorem9.3 Probability9.4 Sequences9.5 Series9.6 Mathematical Induction9.7 Statistics and Data (Graphical)9.8 Statistics and Data (Algebraic)9.9 Statistical LiteracyKey IdeasReview Exercises Chapter Project Chapter 10 An Introduction to Calculus: Limits, Derivatives, and Integrals 10.1 Limits and Motion: The Tangent Problem10.2 Limits and Motion: The Area Problem10.3 More on Limits10.4 Numerical Derivatives and IntegralsKey IdeasReview Exercises Chapter Project Appendix A Algebra ReviewA.1 Radicals and Rational ExponentsA.2 Polynomials and FactoringA.3 Fractional ExpressionsAppendix B Key FormulasB.1 Formulas from AlgebraB.2 Formulas from GeometryB.3 Formulas from TrigonometryB.4 Formulas from Analytic GeometryB.5 Gallery of Basic FunctionsAppendix C LogicC.1 Logic: An IntroductionC.2 Conditionals and Biconditionals GlossarySelected AnswersApplications IndexIndex