# Precalculus

7^{th}Edition

ISBN10: 0077349911

ISBN13: 9780077349912

Copyright: 2011

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

# Precalculus 7e

## CHAPTER R: BASIC ALGEBRAIC OPERATIONS

#### R-1 Algebra and Real Numbers

#### R-2 Exponents and Radicals

#### R-3 Polynomials: Basic Operations and Factoring

#### R-4 Rational Expressions: Basic Operations

#### Chapter R Review

## CHAPTER 1: EQUATIONS AND INEQUALITIES

#### 1-1 Linear Equations and Applications

#### 1-2 Linear Inequalities

#### 1-3 Absolute Value

#### 1-4 Complex Numbers

#### 1-5 Quadratic Equations and Applications

#### 1-6 Equations Involving Radicals

#### Chapter 1 Group Activity: Solving a Cubic Equation

#### Chapter 1 Review

## CHAPTER 2: GRAPHS

#### 2-1 Rectangular Coordinates

#### 2-2 Distance in the Plane

#### 2-3 Equations of a Line

#### 2-4 Linear Equations and Models

#### Chapter 2 Group Activity: Rates of Change

#### Chapter 2 Review

## CHAPTER 3: FUNCTIONS

#### 3-1 Functions

#### 3-2 Graphing Functions

#### 3-3 Transformations of Functions

#### 3-3 Quadratic Functions

#### 3-5 Combining Functions; Composition

#### 3-6 Inverse Functions

#### Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan

#### Chapter 3 Review

#### 1, 2, & 3 Cumulative Review Exercises

## CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS

#### 4-1 Polynomial Functions And Models

#### 4-2 Real Zeros and Polynomial Inequalities

#### 4-3 Complex Zeros and Rational Zeros of Polynomials

#### 4-4 Rational Functions and Inequalities

#### 4-5 Variation and Modeling

#### Chapter 4 Group Activity: Interpolating Polynomials

#### Chapter 4 Review

## CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

#### 5-1 Exponential Functions

#### 5-2 Exponential Models

#### 5-3 Logarithmic Functions

#### 5-4 Logarithmic Models

#### 5-5 Exponential and Logarithmic Equations

#### Chapter 5 Group Activity: Growth of Increasing Functions

#### Chapter 5 Review

#### 4 & 5 Cumulative Review Exercises

## CHAPTER 6: TRIGONOMETRIC FUNCTIONS

#### 6-1 Angles and Their Measure

#### 6-2 Trigonometric Functions: A Unit Circle Approach

#### 6-3 Solving Right Triangles

#### 6-4 Trigonometric Functions: Properties and Graphs

#### 6-5 More General Trigonometric Functions

#### 6-6 Inverse Trigonometric Functions

#### Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer

#### Chapter 6 Review

## CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS

#### 7-1 Basic Identities and Their Use

#### 7-2 Sum, Difference, and Cofunction Identities

#### 7-3 Double-Angle and Half-Angle Identities

#### 7-4 Product-Sum and Sum-Product Identities

#### 7-5 Trigonometric Equations

#### Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool

#### Chapter 7 Review

## CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY

#### 8-1 Law of Sines

#### 8-2 Law of Cosines

#### 8-3 Vectors in the Plane

#### 8-4 Polar Coordinates and Graphs

#### 8-5 Complex Numbers and De Moivre's Theorem

#### Chapter 8 Group Activity: Conic Sections and Planetary Orbits

#### Chapter 8 Review

#### 6, 7, & 8 Cumulative Review Exercises

## CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

#### 9-1 Conic Sections; Parabola

#### 9-2 Ellipse

#### 9-3 Hyperbola

#### 9-4 Rotation of Axes

#### Chapter 9 Group Activity: Focal Chords

#### Chapter 9 Review

## CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES

#### 10-1 Systems of Linear Equations

#### 10-2 Solving Linear Systems Using Gauss-Jordan Elimination

#### 10-3 Matrix Operations

#### 10-4 Solving Linear Systems Using Inverse Matrices

#### 10-5 Determinants and Cramer's Rule

#### Chapter 10 Group Activity: Modeling with Systems of Linear Equations

#### 10-6 Systems of Nonlinear Equations

#### 10-7 Systems of Linear Inequalities

#### 10-8 Linear Programming

#### Chapter 10 Review

## CHAPTER 11: SEQUENCES AND SERIES

#### 11-1 Sequences and Series

#### 11-2 Mathematical Induction

#### 11-3 Arithmetic and Geometric Sequences

#### 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations

#### 11-5 Sample Spaces and Probability

#### 11-6 Binomial Formula

#### Chapter 11 Group Activity: Sequences Specified by Recursion Formulas

#### Chapter 11 Review

#### 9. 10, & 11 Cumulative Review Exercises

## CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS

#### 12-1 Introduction to Limits

#### 12-2 Computing Limits Algebraically

#### 12-3 Limits at Infinity

#### 12-4 The Derivative

#### 12-5 Area and Calculus

#### Chapter 12 Group Activity: Derivatives of Exponential and Log Functions

#### Chapter 12 Review

## APPENDIX A: SPECIAL TOPICS

#### A-1 Scientific Notation and Significant Digits

#### A-2 Partial Fractions

#### A-3 Parametric Equations

## APPENDIX B

#### B-1 Geometric Formulas

# Precalculus 7e

## CHAPTER R: BASIC ALGEBRAIC OPERATIONS

#### R-1 Algebra and Real Numbers

#### R-2 Exponents and Radicals

#### R-3 Polynomials: Basic Operations and Factoring

#### R-4 Rational Expressions: Basic Operations

#### Chapter R Review

## CHAPTER 1: EQUATIONS AND INEQUALITIES

#### 1-1 Linear Equations and Applications

#### 1-2 Linear Inequalities

#### 1-3 Absolute Value

#### 1-4 Complex Numbers

#### 1-5 Quadratic Equations and Applications

#### 1-6 Equations Involving Radicals

#### Chapter 1 Group Activity: Solving a Cubic Equation

#### Chapter 1 Review

## CHAPTER 2: GRAPHS

#### 2-1 Rectangular Coordinates

#### 2-2 Distance in the Plane

#### 2-3 Equations of a Line

#### 2-4 Linear Equations and Models

#### Chapter 2 Group Activity: Rates of Change

#### Chapter 2 Review

## CHAPTER 3: FUNCTIONS

#### 3-1 Functions

#### 3-2 Graphing Functions

#### 3-3 Transformations of Functions

#### 3-3 Quadratic Functions

#### 3-5 Combining Functions; Composition

#### 3-6 Inverse Functions

#### Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan

#### Chapter 3 Review

#### 1, 2, & 3 Cumulative Review Exercises

## CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS

#### 4-1 Polynomial Functions And Models

#### 4-2 Real Zeros and Polynomial Inequalities

#### 4-3 Complex Zeros and Rational Zeros of Polynomials

#### 4-4 Rational Functions and Inequalities

#### 4-5 Variation and Modeling

#### Chapter 4 Group Activity: Interpolating Polynomials

#### Chapter 4 Review

## CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

#### 5-1 Exponential Functions

#### 5-2 Exponential Models

#### 5-3 Logarithmic Functions

#### 5-4 Logarithmic Models

#### 5-5 Exponential and Logarithmic Equations

#### Chapter 5 Group Activity: Growth of Increasing Functions

#### Chapter 5 Review

#### 4 & 5 Cumulative Review Exercises

## CHAPTER 6: TRIGONOMETRIC FUNCTIONS

#### 6-1 Angles and Their Measure

#### 6-2 Trigonometric Functions: A Unit Circle Approach

#### 6-3 Solving Right Triangles

#### 6-4 Trigonometric Functions: Properties and Graphs

#### 6-5 More General Trigonometric Functions

#### 6-6 Inverse Trigonometric Functions

#### Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer

#### Chapter 6 Review

## CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS

#### 7-1 Basic Identities and Their Use

#### 7-2 Sum, Difference, and Cofunction Identities

#### 7-3 Double-Angle and Half-Angle Identities

#### 7-4 Product-Sum and Sum-Product Identities

#### 7-5 Trigonometric Equations

#### Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool

#### Chapter 7 Review

## CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY

#### 8-1 Law of Sines

#### 8-2 Law of Cosines

#### 8-3 Vectors in the Plane

#### 8-4 Polar Coordinates and Graphs

#### 8-5 Complex Numbers and De Moivre's Theorem

#### Chapter 8 Group Activity: Conic Sections and Planetary Orbits

#### Chapter 8 Review

#### 6, 7, & 8 Cumulative Review Exercises

## CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

#### 9-1 Conic Sections; Parabola

#### 9-2 Ellipse

#### 9-3 Hyperbola

#### 9-4 Rotation of Axes

#### Chapter 9 Group Activity: Focal Chords

#### Chapter 9 Review

## CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES

#### 10-1 Systems of Linear Equations

#### 10-2 Solving Linear Systems Using Gauss-Jordan Elimination

#### 10-3 Matrix Operations

#### 10-4 Solving Linear Systems Using Inverse Matrices

#### 10-5 Determinants and Cramer's Rule

#### Chapter 10 Group Activity: Modeling with Systems of Linear Equations

#### 10-6 Systems of Nonlinear Equations

#### 10-7 Systems of Linear Inequalities

#### 10-8 Linear Programming

#### Chapter 10 Review

## CHAPTER 11: SEQUENCES AND SERIES

#### 11-1 Sequences and Series

#### 11-2 Mathematical Induction

#### 11-3 Arithmetic and Geometric Sequences

#### 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations

#### 11-5 Sample Spaces and Probability

#### 11-6 Binomial Formula

#### Chapter 11 Group Activity: Sequences Specified by Recursion Formulas

#### Chapter 11 Review

#### 9. 10, & 11 Cumulative Review Exercises

## CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS

#### 12-1 Introduction to Limits

#### 12-2 Computing Limits Algebraically

#### 12-3 Limits at Infinity

#### 12-4 The Derivative

#### 12-5 Area and Calculus

#### Chapter 12 Group Activity: Derivatives of Exponential and Log Functions

#### Chapter 12 Review

## APPENDIX A: SPECIAL TOPICS

#### A-1 Scientific Notation and Significant Digits

#### A-2 Partial Fractions

#### A-3 Parametric Equations

## APPENDIX B

#### B-1 Geometric Formulas

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