Efnisyfirlit

• 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

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