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Essentials of Precalculus with Calculus Previews, 6th Edition

Book Description

Essentials of Precalculus with Calculus Previews, Sixth Edition, is an ideal undergraduate text to help students successfully transition into a future course in calculus. The Sixth Edition of this best-selling text presents the fundamental mathematics used in a typical calculus sequence in a focused and readable format. Dennis G. Zill’s concise, yet eloquent, writing style allows instructors to cover the entire text in one semester. Essentials of Precalculus with Calculus Previews, Sixth Edition uses a vibrant full-color design to illuminate key concepts and improves students' comprehension of graphs and figures. This text also includes a valuable collection of student and instructor resources, making it a complete teaching and learning package.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Contents
  5. Preface
  6. Acknowledgments
  7. Chapter 1 Inequalities, Equations, and Graphs
    1. 1.1 The Real Line
    2. 1.2 Absolute Value
    3. 1.3 The Rectangular Coordinate System
    4. 1.4 Circles and Graphs
    5. 1.5 Algebra and Limits
    6. Chapter 1 Review Exercises
  8. Chapter 2 Functions
    1. 2.1 Functions and Graphs
    2. 2.2 Symmetry and Transformations
    3. 2.3 Linear Functions
    4. 2.4 Quadratic Functions
    5. 2.5 Piecewise-Defined Functions
    6. 2.6 Combining Functions
    7. 2.7 Functions Defined Implicitly
    8. 2.8 Inverse Functions
    9. 2.9 Building a Function from Words
    10. 2.10 The Tangent Line Problem
    11. Chapter 2 Review Exercises
  9. Chapter 3 Polynomial and Rational Functions
    1. 3.1 Polynomial Functions
    2. 3.2 Division of Polynomial Functions
    3. 3.3 Zeros and Factors of Polynomial Functions
    4. 3.4 Real Zeros of Polynomial Functions
    5. 3.5 Rational Functions
    6. 3.6 Partial Functions
    7. 3.7 The Area Problem
    8. Chapter 3 Review Exercises
  10. Chapter 4 Trigonometric Functions
    1. 4.1 Angles and Their Measurement
    2. 4.2 The Sine and Cosine Functions
    3. 4.3 Graphs of Sine and Cosine Functions
    4. 4.4 Other Trigonometric Functions
    5. 4.5 Sum and Difference Formulas
    6. 4.6 Product-to-Sum and Sum-to-Product Formulas
    7. 4.7 Inverse Trigonometric Functions
    8. 4.8 Trigonometric Equations
    9. 4.9 Simple Harmonic Motion
    10. 4.10 Right Triangle Trigonometry
    11. 4.11 Applications of Right Triangles
    12. 4.12 Law of Sines
    13. 4.13 Law of Cosines
    14. 4.14 The Limit Concept Revisited
    15. Chapter 4 Review Exercises
  11. Chapter 5 Exponential and Logarithmic Functions
    1. 5.1 Exponential Functions
    2. 5.2 Logarithmic Functions
    3. 5.3 Exponential and Logarithmic Equations
    4. 5.4 Exponential and Logarithmic Models
    5. 5.5 The Hyperbolic Functions
    6. Chapter 5 Review Exercises
  12. Chapter 6 Conic Sections
    1. 6.1 The Parabola
    2. 6.2 The Ellipse
    3. 6.3 The Hyperbola
    4. 6.4 The Polar Coordinate System
    5. 6.5 Graphs of Polar Equations
    6. 6.6 Conic Sections in Polar Coordinates
    7. 6.7 Parametric Equations
    8. 6.8 3-Space
    9. Chapter 6 Review Exercises
  13. Final Examination
  14. Answers to Selected Odd-Numbered Problems
  15. Index