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• Half Title
• Title Page
• Copyright
• Dedication
• Contents
• Preface
• Get the most out of MyLab Math
• Resources for Success
• Chapter R. Review of Basic Concepts
• R.1 Fractions, Decimals, and Percents
• R.2 Sets and Real Numbers
• R.3 Real Number Operations and Properties
• R.4 Integer and Rational Exponents
• R.5 Polynomials
• R.6 Factoring Polynomials
• R.7 Rational Expressions
• R.8 Radical Expressions
• Test Prep
• Review Exercises
• Test
• Chapter 1. Equations and Inequalities
• 1.1 Linear Equations
• 1.2 Applications and Modeling with Linear Equations
• 1.3 Complex Numbers
• 1.4 Quadratic Equations
• Chapter 1 Quiz (Sections 1.1–1.4)
• 1.5 Applications and Modeling with Quadratic Equations
• 1.6 Other Types of Equations and Applications
• Summary Exercises on Solving Equations
• 1.7 Inequalities
• 1.8 Absolute Value Equations and Inequalities
• Test Prep
• Review Exercises
• Test
• Chapter 2. Graphs and Functions
• 2.1 Rectangular Coordinates and Graphs
• 2.2 Circles
• 2.3 Functions
• 2.4 Linear Functions
• Chapter 2 Quiz (Sections 2.1–2.4)
• 2.5 Equations of Lines and Linear Models
• Summary Exercises on Graphs, Circles, Functions, and Equations
• 2.6 Graphs of Basic Functions
• 2.7 Graphing Techniques
• Chapter 2 Quiz (Sections 2.5–2.7)
• 2.8 Function Operations and Composition
• Test Prep
• Review Exercises
• Test
• Chapter 3. Polynomial and Rational Functions
• 3.1 Quadratic Functions and Models
• 3.2 Synthetic Division
• 3.3 Zeros of Polynomial Functions
• 3.4 Polynomial Functions: Graphs, Applications, and Models
• Summary Exercises on Polynomial Functions, Zeros, and Graphs
• 3.5 Rational Functions: Graphs, Applications, and Models
• Chapter 3 Quiz (Sections 3.1–3.5)
• 3.6 Polynomial and Rational Inequalities
• Summary Exercises on Solving Equations and Inequalities
• 3.7 Variation
• Test Prep
• Review Exercises
• Test
• Chapter 4. Inverse, Exponential, and Logarithmic Functions
• 4.1 Inverse Functions
• 4.2 Exponential Functions
• 4.3 Logarithmic Functions
• Summary Exercises on Inverse, Exponential, and Logarithmic Functions
• 4.4 Evaluating Logarithms and the Change-of-Base Theorem
• Chapter 4 Quiz (Sections 4.1–4.4)
• 4.5 Exponential and Logarithmic Equations
• 4.6 Applications and Models of Exponential Growth and Decay
• Summary Exercises on Functions: Domains and Defining Equations
• Test Prep
• Review Exercises
• Test
• Chapter 5. Trigonometric Functions
• 5.1 Angles
• 5.2 Trigonometric Functions
• 5.3 Trigonometric Function Values and Angle Measures
• Chapter 5 Quiz (Sections 5.1– 5.3)
• 5.4 Solutions and Applications of Right Triangles
• Test Prep
• Review Exercises
• Test
• Chapter 6. The Circular Functions and Their Graphs
• 6.1 Radian Measure
• 6.2 The Unit Circle and Circular Functions
• 6.3 Graphs of the Sine and Cosine Functions
• 6.4 Translations of the Graphs of the Sine and Cosine Functions
• Chapter 6 Quiz (Sections 6.1–6.4)
• 6.5 Graphs of the Tangent and Cotangent Functions
• 6.6 Graphs of the Secant and Cosecant Functions
• Summary Exercises on Graphing Circular Functions
• 6.7 Harmonic Motion
• Test Prep
• Review Exercises
• Test
• Chapter 7. Trigonometric Identities and Equations
• 7.1 Fundamental Identities
• 7.2 Verifying Trigonometric Identities
• 7.3 Sum and Difference Identities
• Chapter 7 Quiz (Sections 7.1–7.3)
• 7.4 Double-Angle and Half-Angle Identities
• Summary Exercises on Verifying Trigonometric Identities
• 7.5 Inverse Circular Functions
• 7.6 Trigonometric Equations
• Chapter 7 Quiz (Sections 7.5–7.6)
• 7.7 Equations Involving Inverse Trigonometric Functions
• Test Prep
• Review Exercises
• Test
• Chapter 8. Applications of Trigonometry
• 8.1 The Law of Sines
• 8.2 The Law of Cosines
• Chapter 8 Quiz (Sections 8.1–8.2)
• 8.3 Geometrically Defined Vectors and Applications
• 8.4 Algebraically Defined Vectors and the Dot Product
• Summary Exercises on Applications of Trigonometry and Vectors
• 8.5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
• 8.6 De Moivre’s Theorem; Powers and Roots of Complex Numbers
• Chapter 8 Quiz (Sections 8.3–8.6)
• 8.7 Polar Equations and Graphs
• 8.8 Parametric Equations, Graphs, and Applications
• Test Prep
• Review Exercises
• Test
• Chapter 9. Systems and Matrices
• 9.1 Systems of Linear Equations
• 9.2 Matrix Solution of Linear Systems
• 9.3 Determinant Solution of Linear Systems
• 9.4 Partial Fractions
• Chapter 9 Quiz (Sections 9.1– 9.4)
• 9.5 Nonlinear Systems of Equations
• Summary Exercises on Systems of Equations
• 9.6 Systems of Inequalities and Linear Programming
• 9.7 Properties of Matrices
• 9.8 Matrix Inverses
• Test Prep
• Review Exercises
• Test
• Chapter 10. Analytic Geometry
• 10.1 Parabolas
• 10.2 Ellipses
• Chapter 10 Quiz (Sections 10.1–10.2)
• 10.3 Hyperbolas
• 10.4 Summary of the Conic Sections
• Test Prep
• Review Exercises
• Test
• Chapter 11. Further Topics in Algebra
• 11.1 Sequences and Series
• 11.2 Arithmetic Sequences and Series
• 11.3 Geometric Sequences and Series
• Summary Exercises on Sequences and Series
• 11.4 The Binomial Theorem
• 11.5 Mathematical Induction
• Chapter 11 Quiz (Sections 11.1–11.5)
• 11.6 Basics of Counting Theory
• 11.7 Basics of Probability
• Test Prep
• Review Exercises
• Test
• Appendices
• Appendix A. Polar Form of Conic Sections
• Appendix B. Rotation of Axes
• Appendix C. Geometry Formulas
• Answers to Selected Exercises
• Photo Credits
• Index
• A
• B
• C
• D
• E
• F
• G
• H
• I
• J
• K
• L
• M
• N
• O
• P
• Q
• R
• S
• T
• U
• V
• W
• X
• Y
• Z