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ISBN13: 978-0073312644

ISBN10: 0073312649 Edition: 8TH 08

Copyright: 2007

Publisher: McGraw-Hill Publishing Company

Published: 2007

International: No

ISBN10: 0073312649 Edition: 8TH 08

Copyright: 2007

Publisher: McGraw-Hill Publishing Company

Published: 2007

International: No

New Features

- Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems.
- Objective Based Learning: Introductory section objectives have been expanded to include the "what and why" of the objectives, followed by icons within the text identifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material.
- Graphical Interpretation: Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models.

**Chapter R: Basic Algebraic Operations**

R-1 Algebra and Real Numbers

R-2 Exponents

R-3 Radicals

R-4 Polynomials: Basic Operations

R-5 Polynomials: Factoring

R-6 Rational Expressions: Basic Operations

Chapter R Review

Chapter R Group Activity: Rational Number Representations

**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 Review

Chapter 1 Group Activity: Solving a Cubic Equation

**Chapter 2: Graphs**

2-1 Cartesian Coordinate system

2-2 Distance in the Plane

2-3 Equations of a line

2-4 Linear Equations and Models

Chapter 2 Review

Chapter 2 Group Activity: Rates of Change

**Chapter 3: Functions**

3-1 Functions

3-2 Graphing Functions

3-3 Transformations of Functions

3-4 Quadratic Functions

3-5 Combining Functions; Composition

3-6 Inverse Functions

Chapter 3 Review

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

Chapters 1-3 Cumulative Review Exercises

**Chapter 4: Polynomials 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 Review

Chapter 4 Group Activity: Interpolating Polynomials

**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 Review

Chapter 5 Group Activity: Growth of Increasing Functions

Chapters 4-5 Cumulative Review Exercises

**Chapter 6: Trigonometric Functions**

6-1 Angles and Their Measure

6-2 Right-Triangle Trigonometry

6-3 Trigonometric Functions: A Unit Circle Approach

6-4 Trigonometric Functions: Properties and Graphs

6-5 More General Trigonometric Functions

6-6 Inverse Trigonometric Functions

Chapter 6 Review

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

**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 Review

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

**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 Review

Chapter 8 Group Activity: Conic Sections and Planetary Orbits

Chapters 6-8 Cumulative Review Exercises

**Chapter 9: Additional Topics in Analytic Geometry**

9-1 Conic Sections; Parabolas

9-2 Ellipses

9-3 Hyperbolas

9-4 Rotation of Axes

Chapter 9 Review

Chapter 9 Group Activity: Focal Chords

**Chapter 10: Systems of Equations and Inequalities; Matrices**

10-1 Systems of Linear Equations: Graphing and Substitution

10-2 Systems of Linear Equations: Elimination

10-3 Systems of Linear Equations: Gauss-Jordan Elimination

10-4 Matrices: Basic Operations

10-5 Systems of Linear Equations: Matrix Inverse Methods

10-6 Systems of Nonlinear Equations

10-7 Systems of Linear Inequalities in Two Variables

10-8 Linear Programming

Chapter 10 Review

Chapter 10 Group Activity: Modeling With Systems of Linear Equations

**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 Review

Chapter 11 Group Activity: Sequences Specified by Recursion Formulas

Chapters 9-11 Cumulative Review Exercises

Appendix A: Special Topics

A-1 Scientific Notation and Significant Digits

A-2 Partial Fractions

A-3 Parametric Equations

Appendix B: Geometric Formulas

Raymond Barnett, Michael Ziegler and Karl Byleen

ISBN13: 978-0073312644ISBN10: 0073312649 Edition: 8TH 08

Copyright: 2007

Publisher: McGraw-Hill Publishing Company

Published: 2007

International: No

New Features

- Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems.
- Objective Based Learning: Introductory section objectives have been expanded to include the "what and why" of the objectives, followed by icons within the text identifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material.
- Graphical Interpretation: Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models.

Table of Contents

**Chapter R: Basic Algebraic Operations**

R-1 Algebra and Real Numbers

R-2 Exponents

R-3 Radicals

R-4 Polynomials: Basic Operations

R-5 Polynomials: Factoring

R-6 Rational Expressions: Basic Operations

Chapter R Review

Chapter R Group Activity: Rational Number Representations

**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 Review

Chapter 1 Group Activity: Solving a Cubic Equation

**Chapter 2: Graphs**

2-1 Cartesian Coordinate system

2-2 Distance in the Plane

2-3 Equations of a line

2-4 Linear Equations and Models

Chapter 2 Review

Chapter 2 Group Activity: Rates of Change

**Chapter 3: Functions**

3-1 Functions

3-2 Graphing Functions

3-3 Transformations of Functions

3-4 Quadratic Functions

3-5 Combining Functions; Composition

3-6 Inverse Functions

Chapter 3 Review

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

Chapters 1-3 Cumulative Review Exercises

**Chapter 4: Polynomials 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 Review

Chapter 4 Group Activity: Interpolating Polynomials

**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 Review

Chapter 5 Group Activity: Growth of Increasing Functions

Chapters 4-5 Cumulative Review Exercises

**Chapter 6: Trigonometric Functions**

6-1 Angles and Their Measure

6-2 Right-Triangle Trigonometry

6-3 Trigonometric Functions: A Unit Circle Approach

6-4 Trigonometric Functions: Properties and Graphs

6-5 More General Trigonometric Functions

6-6 Inverse Trigonometric Functions

Chapter 6 Review

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

**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 Review

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

**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 Review

Chapter 8 Group Activity: Conic Sections and Planetary Orbits

Chapters 6-8 Cumulative Review Exercises

**Chapter 9: Additional Topics in Analytic Geometry**

9-1 Conic Sections; Parabolas

9-2 Ellipses

9-3 Hyperbolas

9-4 Rotation of Axes

Chapter 9 Review

Chapter 9 Group Activity: Focal Chords

**Chapter 10: Systems of Equations and Inequalities; Matrices**

10-1 Systems of Linear Equations: Graphing and Substitution

10-2 Systems of Linear Equations: Elimination

10-3 Systems of Linear Equations: Gauss-Jordan Elimination

10-4 Matrices: Basic Operations

10-5 Systems of Linear Equations: Matrix Inverse Methods

10-6 Systems of Nonlinear Equations

10-7 Systems of Linear Inequalities in Two Variables

10-8 Linear Programming

Chapter 10 Review

Chapter 10 Group Activity: Modeling With Systems of Linear Equations

**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 Review

Chapter 11 Group Activity: Sequences Specified by Recursion Formulas

Chapters 9-11 Cumulative Review Exercises

Appendix A: Special Topics

A-1 Scientific Notation and Significant Digits

A-2 Partial Fractions

A-3 Parametric Equations

Appendix B: Geometric Formulas

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