Algebra & Trigonometry – Michael Sullivan – 9th Edition


Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Algebra and Trigonometry has evolved to meet today’s course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.

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  • R. Review
    R.1 Real Numbers
    R.2 Algebra Essential
    R.3 Geometry Essentials
    R.4 Polynomials
    R.5 Factoring Polynomials
    R.6 Synthetic Division
    R.7 Rational Expressions
    R.8 nth Roots; Rational Exponents

    1. Equations and Inequalities
    1.1 Linear Equations
    1.2 Quadratic Equations
    1.3 Complex Numbers; Quadratic Equations in the Complex Number System
    1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
    1.5 Solving Inequalities
    1.6 Equations and Inequalities Involving Absolute Value
    1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications

    2. Graphs
    2.1 The Distance and Midpoint Formulas
    2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
    2.3 Lines
    2.4 Circles
    2.5 Variation

    3. Functions and Their Graphs
    3.1 Functions
    3.2 The Graph of a Function
    3.3 Properties of Functions
    3.4 Library of Functions; Piecewise-defined Functions
    3.5 Graphing Techniques: Transformations
    3.6 Mathematical Models: Building Functions

    4. Linear and Quadratic Functions
    4.1 Linear Functions and Their Properties
    4.2 Linear Models: Building Linear Functions from Data
    4.3 Quadratic Functions and Their Properties
    4.4 Building Quadratic Models from Data
    4.5 Inequalities Involving Quadratic Functions

    5. Polynomial and Rational Functions
    5.1 Polynomial Functions and Models
    5.2 Properties of Rational Functions
    5.3 The Graph of a Rational Function
    5.4 Polynomial and Rational Inequalities
    5.5 The Real Zeros of a Polynomial Function
    5.6 Complex Zeros: Fundamental Theorem of Algebra

    6. Exponential and Logarithmic Functions
    6.1 Composite Functions
    6.2 One-to-One Functions; Inverse Functions
    6.3 Exponential Functions
    6.4 Logarithmic Functions
    6.5 Properties of Logarithms
    6.6 Logarithmic and Exponential Equations
    6.7 Financial Models
    6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
    6.9 Building Exponential, Logarithmic, and Logistic Models from Data

    7. Trigonometric Functions
    7.1 Angles and Their Measure
    7.2 Right Triangle Trigonometry
    7.3 Computing the Values of Trigonometric Functions of Acute Angles
    7.4 Trigonometric Functions of Any Angle
    7.5 Unit Circle Approach; Properties of the Trigonometric Functions
    7.6 Graphs of the Sine and Cosine Functions
    7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
    7.8 Phase Shift; Sinusoidal Curve Fitting

    8. Analytic Trigonometry
    8.1 The Inverse Sine, Cosine, and Tangent Functions
    8.2 The Inverse Trigonometric Functions (continued)
    8.3 Trigonometric Equations
    8.4 Trigonometric Identities
    8.5 Sum and Difference Formulas
    8.6 Double-Angle and Half-Angle Formulas
    8.7 Product-to-Sum and Sum-to-Product Formulas

    9. Applications of Trigonometric Functions
    9.1 Applications Involving Right Triangles
    9.2 Law of Sines
    9.3 Law of Cosines
    9.4 Area of a Triangle
    9.5 Simple Harmonic Motion; Damped Motion; Combining Waves

    10. Polar Coordinates; Vectors
    10.1 Polar Coordinates
    10.2 Polar Equations and Graphs
    10.3 The Complex Plane; DeMoivre’s Theorem
    10.4 Vectors
    10.5 The Dot Product

    11. Analytic Geometry
    11.1 Conics
    11.2 The Parabola
    11.3 The Ellipse
    11.4 The Hyperbola
    11.5 Rotation of Axes; General Form of a Conic
    11.6 Polar Equations of Conics
    11.7 Plane Curves and Parametric Equations

    12. Systems of Equations and Inequalities
    12.1 Systems of Linear Equations: Substitution and Elimination
    12.2 Systems of Linear Equations: Matrices
    12.3 Systems of Linear Equations: Determinants
    12.4 Matrix Algebra
    12.5 Partial Fraction Decomposition
    12.6 Systems of Nonlinear Equations
    12.7 Systems of Inequalities
    12.8 Linear Programming

    13. Sequences; Induction; The Binomial Theorem
    13.1 Sequences
    13.2 Arithmetic Sequences
    13.3 Geometric Sequences; Geometric Series
    13.4 Mathematical Induction
    13.5 The Binomial Theorem

    14. Counting and Probability
    14.1 Sets and Counting
    14.2 Permutations and Combinations
    14.3 Probability

    Appendix: Graphing Utilities

    1. The Viewing Rectangle
    2. Using a Graphing Utility to Graph Equations
    3. Using a Graphing Utility to Graph Equations Locating Intercepts and Checking for Symmetry
    4. Using a Graphing Utility to Solve Equations
    5. Square Screens
    6. Using a Graphing Utility to Graph Inequalities
    7. Using a Graphing Utility to Solve Systems of Linear Equations
    8. Using a Graphing Utility to Graph a Polar Equation
    9. Using a Graphing Utility to Graph Parametric Equations
  • Citation
    • Full Title: Sullivan Algebra & Trigonometry
    • Author/s:
    • ISBN-10: 0321716566
    • ISBN-13: 9780321716569
    • Edition: 9th Edition
    • Topic: Math
    • Subtopic: Algebra | Trigonometry
    • File Type: eBook
    • Idioma: English

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