Precalculus: Functions and Graphs – Mark Dugopolski – 4th Edition


This pre-calculus text gives readers the essential strategies to help develop the understanding and confidence they need to succeed in this course. Readers will find enough learning aids and review tools carefully placed in their content to help them make the calculations without distracting from their goals.

  Regardless of their goals, beyond the course, all readers will benefit from Dugopolski for his emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.

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  • 1 Equations, Inequalities, and Modeling
    1.1 Equations in One Variable
    1.2 Constructing Models to Solve Problems
    1.3 Equations and Graphs in Two Variables
    1.4 Linear Equations in Two Variables
    1.5 Scatter Diagrams and Curve Fitting
    1.6 Complex Numbers
    1.7 Quadratic Equations
    1.8 Linear and Absolute Value Inequalities
    Chapter 1 Highlights
    Chapter 1 Review Exercises
    Chapter 1 Test
    Concepts of Calculus: Limits
    2 Functions and Graphs
    2.1 Functions
    2.2 Graphs of Relations and Functions
    2.3 Families of Functions, Transformations, and Symmetry
    2.4 Operations with Functions
    2.5 Inverse Functions
    2.6 Constructing Functions with Variation
    Chapter 2 Highlights
    Chapter 2 Review Exercises
    Chapter 2 Test
    Tying It All Together
    Concepts of Calculus: Instantaneous rate of change
    3 Polynomial and Rational Functions
    3.1 Quadratic Functions and Inequalities
    3.2 Zeros of Polynomial Functions
    3.3 The Theory of Equations
    3.4 Miscellaneous Equations
    3.5 Graphs of Polynomial Functions
    3.6 Rational Functions and Inequalities
    Chapter 3 Highlights
    Chapter 3 Review Exercises
    Chapter 3 Test
    Tying It All Together
    Concepts of Calculus: Instantaneous rate of change of the power functions
    4 Exponential and Logarithmic Functions
    4.1 Exponential Functions and Their Applications
    4.2 Logarithmic Functions and Their Applications
    4.3 Rules of Logarithms
    4.4 More Equations and Applications
    Chapter 4 Highlights
    Chapter 4 Review Exercises
    Chapter 4 Test
    Tying It All Together
    Concepts of Calculus: The instantaneous rate of change of f(x) = e[sup(x)]
    5 The Trigonometric Functions
    5.1 Angles and Their Measurements
    5.2 The Sine and Cosine Functions
    5.3 The Graphs of the Sine and Cosine Functions
    5.4 The Other Trigonometric Functions and Their Graphs
    5.5 The Inverse Trigonometric Functions
    5.6 Right Triangle Trigonometry
    Chapter 5 Highlights
    Chapter 5 Review Exercises
    Chapter 5 Test
    Tying It All Together
    Concepts of Calculus: Evaluating transcendental functions
    6 Trigonometric Identities and Conditional Equations
    6.1 Basic Identities
    6.2 Verifying Identities
    6.3 Sum and Difference Identities
    6.4 Double-Angle and Half-Angle Identities
    6.5 Product and Sum Identities
    6.6 Conditional Trigonometric Equations
    Chapter 6 Highlights
    Chapter 6 Review Exercises
    Chapter 6 Test
    Tying It All Together
    Concepts of Calculus: Area of a circle and π
    7 Applications of Trigonometry
    7.1 The Law of Sines
    7.2 The Law of Cosines
    7.3 Vectors
    7.4 Trigonometric Form of Complex Numbers
    7.5 Powers and Roots of Complex Numbers
    7.6 Polar Equations
    7.7 Parametric Equations
    Chapter 7 Highlights
    Chapter 7 Review Exercises
    Chapter 7 Test
    Tying It All Together
    Concepts of Calculus: Limits and asymptotes
    8 Systems of Equations and Inequalities
    8.1 Systems of Linear Equations in Two Variables
    8.2 Systems of Linear Equations in Three Variables
    8.3 Nonlinear Systems of Equations
    8.4 Partial Fractions
    8.5 Inequalities and Systems of Inequalities in Two Variables
    8.6 The Linear Programming Model
    Chapter 8 Highlights
    Chapter 8 Review Exercises
    Chapter 8 Test
    Tying It All Together
    Concepts of Calculus: Instantaneous rate of change and partial fractions
    9 Matrices and Determinants
    9.1 Solving Linear Systems Using Matrices
    9.2 Operations with Matrices
    9.3 Multiplication of Matrices
    9.4 Inverses of Matrices
    9.5 Solution of Linear Systems in Two Variables Using Determinants
    9.6 Solution of Linear Systems in Three Variables Using Determinants
    Chapter 9 Highlights
    Chapter 9 Review Exercises
    Chapter 9 Test
    Tying It All Together
    10 The Conic Sections
    10.1 The Parabola
    10.2 The Ellipse and the Circle
    10.3 The Hyperbola
    10.4 Rotation of Axes
    10.5 Polar Equations of the Conics
    Chapter 10 Highlights
    Chapter 10 Review Exercises
    Chapter 10 Test
    Tying It All Together
    Concepts of Calculus: The reflection property of a parabola
    11 Sequences, Series, and Probability
    11.1 Sequences
    11.2 Series
    11.3 Geometric Sequences and Series
    11.4 Counting and Permutations
    11.5 Combinations, Labeling, and the Binomial Theorem
    11.6 Probability
    11.7 Mathematical Induction
    Chapter 11 Highlights
    Chapter 11 Review Exercises
    Chapter 11 Test
    Concepts of Calculus: Limits of sequences
    Appendix A: Solutions to Try This Exercises
    Appendix B: Basic Algebra Review
    B.1 Real Numbers and Their Properties
    B.2 Exponents and Radicals
    B.3 Polynomials
    B.4 Factoring Polynomials
    B.5 Rational Expressions
  • Citation
    • Full Title: Precalculus: Functions and Graphs
    • Author/s:
    • ISBN-10: 0321837584
    • ISBN-13: 9780321837585
    • Edition: 4th Edition
    • Topic: Math
    • Subtopic: Precalculus
    • File Type: eBook
    • Idioma: English

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