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by Zill
Precalculus with Calculus Previews, 5th Edition
Cover
Title Page
Copyright
Contents
Preface
1 Inequalities, Equations, and Graphs
1.1 The Real Line
1.2 Absolute Value
1.3 The Rectangular Coordinate System
1.4 Circles and Graphs
1.5 Calculus Preview: Algebra and Limits
Chapter 1 Review Exercises
2 Functions
2.1 Functions and Graphs
2.2 Symmetry and Transformations
2.3 Linear Functions
2.4 Quadratic Functions
2.5 Piecewise-Defined Functions
2.6 Combining Functions
2.7 Inverse Functions
2.8 Building a Function from Words
2.9 Calculus Preview: The Tangent Line Problem
Chapter 2 Review Exercises
3 Polynomial and Rational Functions
3.1 Polynomial Functions
3.2 Division of Polynomial Functions
3.3 Zeros and Factors of Polynomial Functions
3.4 Real Zeros of Polynomial Functions
3.5 Approximating Real Zeros
3.6 Rational Functions
3.7 Calculus Preview: The Area Problem
Chapter 3 Review Exercises
4 Trigonometric Functions
4.1 Angles and Their Measurement
4.2 The Sine and Cosine Functions
4.3 Graphs of Sine and Cosine Functions
4.4 Other Trigonometric Functions
4.5 Verifying Trigonometric Identities
4.6 Sum and Difference Formulas
4.7 Product-to-Sum and Sum-to-Product Formulas
4.8 Inverse Trigonometric Functions
4.9 Trigonometric Equations
4.10 Simple Harmonic Motion
4.11 Calculus Preview: The Limit Concept Revisited
Chapter 4 Review Exercises
5 Triangle Trigonometry
5.1 Right Triangle Trigonometry
5.2 Applications of Right Triangles
5.3 Law of Sines
5.4 Law of Cosines
5.5 Calculus Preview: Vectors and Dot Product
Chapter 5 Review Exercises
6 Exponential and Logarithmic Functions
6.1 Exponential Functions
6.2 Logarithmic Functions
6.3 Exponential and Logarithmic Equations
6.4 Exponential and Logarithmic Models
6.5 Calculus Preview: The Hyperbolic Functions
Chapter 6 Review Exercises
7 Conic Sections
7.1 The Parabola
7.2 The Ellipse
7.3 The Hyperbola
7.4 Rotation of Axes
7.5 Calculus Preview: 3-Space
Chapter 7 Review Exercises
8 Polar Coordinates
8.1 The Polar Coordinate System
8.2 Graphs of Polar Equations
8.3 Conic Sections in Polar Coordinates
8.4 Calculus Preview: Parametric Equations
Chapter 8 Review Exercises
9 Systems of Equations and Inequalities
9.1 Systems of Linear Equations
9.2 Determinants and Cramer’s Rule
9.3 Systems of Nonlinear Equations
9.4 Systems of Inequalities
9.5 Calculus Preview: Partial Fractions
Chapter 9 Review Exercises
10 Sequences and Series
10.1 Sequences
10.2 Series
10.3 Mathematical Induction
10.4 The Binomial Theorem
10.5 Principles of Counting
10.6 Introduction to Probability
10.7 Calculus Preview: Convergence of Sequences and Series
Chapter 10 Review Exercises
Final Examination
Apppendix A: Complex Numbers
Apppendix B: Descartes’ Rule of Signs
Apppendix C: Formulas from Geometry
Answers to Selected Odd-Numbered Problems
Index
Credits
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Precalculus with Calculus Previews, Fifth Edition
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