Precalculus: A Functional Approach to Graphing and Problem Solving, 6th Edition

Table of contents

1. Cover Page
2. Title Page
3. Copyright Page
4. Dedication Page
5. Table of Contents
6. A Note about Calculator Usage
7. Preface
8. Problem Solving
9. Acknowledgments
10. About the Author
11. Fundamental Concepts
    1. Chapter 1: Algebraic and Geometrical Foundations
       1. 1.1: Real Numbers
       2. 1.2: Algebraic Expressions
       3. 1.3: Equations of Lines
       4. 1.4: Distance and Symmetry
       5. 1.5: Linear Inequalities and Coordinate Systems
       6. 1.6: Absolute Value Equations and Inequalities
       7. *1.7: What is Calculus?
       8. 1.8: Equations for Calculus
       9. 1.9: Inequalities for Calculus
       10. Chapter 1: Summary and Review
12. Functions and Graphing
    1. Chapter 2: Functions with Problem Solving
       1. 2.1: Problem Solving
       2. 2.2: Introduction to Functions
       3. 2.3: Graph of a Function
       4. 2.4: Transformations of Functions
       5. 2.5: Piecewise Functions
       6. 2.6: Composition and Operations of Functions
       7. 2.7: Inverse Functions
       8. 2.8: Limits and Continuity
       9. Chapter 2: Summary and Review
    2. Chapter 3: Polynomial Functions
       1. 3.1: Linear Functions
       2. 3.2: Quadratic Functions
       3. 3.3: Optimization Problems
       4. 3.4: Parametric Equations
       5. 3.5: Graphing Polynomial Functions
       6. 3.6: Polynomial Equations
       7. Chapter 3: Summary and Review
    3. Chapter 4: Additional Functions
       1. 4.1: Rational Functions
       2. 4.2: Radical Functions
       3. 4.3: Real Roots of Rational and Radical Equations
       4. 4.4: Exponential Functions
       5. 4.5: Logarithmic Functions
       6. 4.6: Logarithmic Equations
       7. 4.7: Exponential Equations
       8. Chapter 4: Summary and Review
13. Trigonometry
    1. Chapter 5: Trigonometric Functions
       1. 5.1: Angles
       2. 5.2: Fundamentals
       3. 5.3: Trigonometric Functions of Any Angle
       4. 5.4: Graphs of the Trigonometric Functions
       5. 5.5: Inverse Trigonometric Functions
       6. 5.6: Right Triangles
       7. 5.7: Oblique Triangles
       8. Chapter 5: Summary and Review
    2. Chapter 6: Trigonometric Equations and Identities
       1. 6.1: Trigonometric Equations
       2. 6.2: Proving Identities
       3. 6.3: Addition Laws
       4. 6.4: Miscellaneous Identities
       5. *6.5: De Moivre's Theorem
       6. Chapter 6: Summary and Review
14. Advanced Algebra Topics and Analytic Geometry
    1. Chapter 7: Analytic Geometry
       1. 7.1: Parabolas
       2. 7.2: Ellipses
       3. 7.3: Hyperbolas
       4. 7.4: Rotations
       5. *7.5: Polar Coordinates
       6. 7.6: Graphing in Polar Coordinates
       7. 7.7: Conic Sections in Polar Form
       8. Chapter 7: Summary and Review
    2. Chapter 8: Sequences, Systems, and Matrices
       1. 8.1: Sequences
       2. *8.2: Limit of a Sequence
       3. 8.3: Series
       4. 8.4: Systems of Equations
       5. 8.5: Matrix Solution of a System of Equations
       6. 8.6: Inverse Matrices
       7. 8.7: Systems of Inequalities
       8. Chapter 8: Summary and Review
    3. Chapter 9: Vectors and Solid Analytic Geometry
       1. *9.1: Vectors in the Plane
       2. *9.2: Quadric Surfaces and Graphing in Three Dimensions
       3. *9.3: The Dot Product
       4. *9.4: The Cross Product
       5. *9.5: Lines and Planes in Space
       6. Chapter 9: Summary and Review
15. Appendices
    1. Appendix A: Field Properties
    2. Appendix B: Complex Numbers
    3. Appendix C: Mathematical Induction
    4. Appendix D: Binomial Theorem
    5. Appendix E: Determinants and Cramer's Rule
    6. Appendix F: Library of Curves and Surfaces
    7. Appendix G: Answers
16. Index