Precalculus – Michael Sullivan – 11th Edition

Descripción

El enfoque de Michael Sullivan, de eficacia probada, centra a los en las habilidades fundamentales que necesitan para el curso: preparar la clase, practicar con los deberes y repasar los conceptos. La 11ª edición sigue evolucionando para satisfacer las necesidades de los estudiantes de hoy.

Esta serie prepara y apoya a los estudiantes con acceso a la ayuda, donde y cuando la requieran. El ciclo característico de Sullivan de preparación y retención continuas -junto con los de alta calidad por los que son conocidos los textos de Sullivan- ofrece a los estudiantes el refuerzo que necesitan.

Al combinar contenidos de autor de confianza con herramientas digitales y una plataforma , MyLab Math personaliza la experiencia de y mejora los resultados de cada estudiante.

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  • 1. Graphs
    1.1 The Distance and Midpoint Formulas
    1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
    1.3 Lines
    1.4 Circles
    Chapter 1 Review, Test, and Projects

    2. Functions and Their Graphs
    2.1 Functions
    2.2 The Graph of a Function
    2.3 Properties of Functions
    2.4 Library of Functions; Piecewise-defined Functions
    2.5 Graphing Techniques: Transformations
    2.6 Mathematical Models: Building Functions
    Chapter 2 Review, Test, and Projects

    3. Linear and Quadratic Functions
    3.1 Properties of Linear Functions and Linear Models
    3.2 Building Linear Models from Data
    3.3 Quadratic Functions and Their Properties
    3.4 Build Quadratic Models from Verbal Descriptions and from Data
    3.5 Inequalities Involving Quadratic Functions
    Chapter 3 Review, Test, and Projects

    4. Polynomial and Rational Functions
    4.1 Polynomial Functions
    4.2 Graphing Polynomial Functions; Models
    4.3 Properties of Rational Functions
    4.4 The Graph of a Rational Function
    4.5 Polynomial and Rational Inequalities
    4.6 The Real Zeros of a Polynomial Function
    Chapter 4 Review, Test, and Projects

    5. Exponential and Logarithmic Functions
    5.1 Composite Functions
    5.2 One-to-One Functions; Inverse Functions
    5.3 Exponential Functions
    5.4 Logarithmic Functions
    5.5 Properties of Logarithms
    5.6 Logarithmic and Exponential Equations
    5.7 Financial Models
    5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
    5.9 Building Exponential, Logarithmic, and Logistic Models from Data
    Chapter 5 Review, Test, and Projects

    6. Trigonometric Functions
    6.1 Angles, Arc, Length, and Circular Motion
    6.2 Trigonometric Functions: Unit Circle Approach
    6.3 Properties of the Trigonometric Functions
    6.4 Graphs of the Sine and Cosine Functions
    6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
    6.6 Phase Shift; Sinusoidal Curve Fitting
    Chapter 6 Review, Test, and Projects

    7. Analytic Trigonometry
    7.1 The Inverse Sine, Cosine, and Tangent Functions
    7.2 The Inverse Trigonometric Functions (Continued)
    7.3 Trigonometric Equations
    7.4 Trigonometric Identities
    7.5 Sum and Difference Formulas
    7.6 Double-angle and Half-angle Formulas
    7.7 Product-to-Sum and Sum-to-Product Formulas
    Chapter 7 Review, Test, and Projects

    8. Applications of Trigonometric Functions
    8.1 Right Triangle Trigonometry; Applications
    8.2 The Law of Sines
    8.3 The Law of Cosines
    8.4 Area of a Triangle
    8.5 Simple Harmonic Motion; Damped Motion; Combining Waves
    Chapter 8 Review, Test, and Projects

    9. Polar Coordinates; Vectors
    9.1 Polar Coordinates
    9.2 Polar Equations and Graphs
    9.3 The Complex Plane; De Moivre’s Theorem
    9.4 Vectors
    9.5 The Dot Product
    9.6 Vectors in Space
    9.7 The Cross Product
    Chapter 9 Review, Test, and Projects

    10. Analytic Geometry
    10.1 Conics
    10.2 The Parabola
    10.3 The Ellipse
    10.4 The Hyperbola
    10.5 Rotation of Axes; General Form of a Conic
    10.6 Polar Equations of Conics
    10.7 Plane Curves and Parametric Equations
    Chapter 10 Review, Test, and Projects

    11. Systems of Equations and Inequalities
    11.1 Systems of Linear Equations: Substitution and Elimination
    11.2 Systems of Linear Equations: Matrices
    11.3 Systems of Linear Equations: Determinants
    11.4 Matrix Algebra
    11.5 Partial Fraction Decomposition
    11.6 Systems of Nonlinear Equations
    11.7 Systems of Inequalities
    11.8 Linear Programming
    Chapter 11 Review, Test, and Projects

    12. Sequences; Induction; the Binomial Theorem
    12.1 Sequences
    12.2 Arithmetic Sequences
    12.3 Geometric Sequences; Geometric Series
    12.4 Mathematical Induction
    12.5 The Binomial Theorem
    Chapter 12 Review, Test, and Projects

    13. Counting and Probability
    13.1 Counting
    13.2 Permutations and Combinations
    13.3 Probability
    Chapter 13 Review, Test, and Projects

    14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function
    14.1 Finding Limits Using Tables and Graphs
    14.2 Algebra Techniques for Finding Limits
    14.3 One-sided Limits; Continuous Functions
    14.4 The Tangent Problem; The Derivative
    14.5 The Area Problem; The Integral
    Chapter 14 Review, Test, and Projects

    Appendix A: Review
    A.1 Algebra Essentials
    A.2 Geometry Essentials
    A.3 Polynomials
    A.4 Synthetic Division
    A.5 Rational Expressions
    A.6 Solving Equations
    A.7 Complex Numbers; Quadratic Equations in the Complex Number System
    A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
    A.9 Interval Notation; Solving Inequalities
    A.10 nth Roots; Rational Exponents

    Appendix B: Graphing Utilities
    B.1 The Viewing Rectangle
    B.2 Using a Graphing Utility to Graph Equations
    B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
    B.4 Using a Graphing Utility to Solve Equations
    B.5 Square Screens
    B.6 Using a Graphing Utility to Graph Inequalities
    B.7 Using a Graphing Utility to Solve Systems of Linear Equations
    B.8 Using a Graphing Utility to Graph a Polar Equation
    B.9 Using a Graphing Utility to Graph Parametric
    Equations
  • Citar Libro
    • Título: Precalculus
    • Autor/es:
    • ISBN-10: 135189403
    • ISBN-13: 9780135189405
    • Edición: 11va Edición
    • Año de edición: 2019
    • Tema: Cálculo
    • Subtema: Precálculo
    • Tipo de Archivo: eBook
    • Idioma: eBook en Inglés

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