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Edition: 4TH 07

Copyright: 2007

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

Copyright: 2007

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

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This edition provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

**Features**

- Chapter Opener Each chapter begins with the discussion of a real-world situation that uses mathematics from the chapter. Examples and exercises that relate back to the opener are included in the chapter.
- Graphing Calculator Discussions Optional graphing calculator discussions have been included in the text. They are clearly marked by graphing calculator icons so that they can be easily skipped if desired. Students who do not use a graphing calculator can still benefit from the technology discussions, as well as from the calculator generated graphs occurring in the text. The graphing calculator is used as a tool to support and enhance algebraic conclusions, not to make conclusions.
- For Thought Each exercise set is preceded by a set of ten true/false questions that review the basic concepts in the section, help check student understanding before beginning the exercises, and offer opportunities for writing and/or discussion. The answers to all For Thought exercises are included in the back of the student edition.
- Writing/Discussion and Cooperative Learning Exercises These exercises deepen students' understanding by giving them the opportunity to express mathematical ideas both in writing and to their classmates during small group or team discussions.
- Linking Concepts Located at the end of nearly every exercise set, these multi-part exercises and explorations can be used for individual or group work. The idea of this feature is to use concepts from the current section along with concepts from preceding sections (or chapters) to solve problems that illustrate the links among various concepts. Some parts of these questions are open-ended and require more thought than standard skill-building exercises. Answers are given in the Instructor's Edition only, and full solutions can be found in the Instructor's Solutions Manual.
- Chapter Review Exercises These exercises are designed to give students a comprehensive review of the chapter without reference to individual sections and prepare students for the chapter test.
- Chapter Test The problems in the Chapter Test measure students' readiness for a typical one-hour classroom test. Instructors may also use them as a model for their own end-of-chapter tests. Students should be aware that their in-class test could vary from the Chapter Test due to different emphasis placed on the topics by individual instructors.
- Tying It All Together Found at the end of most chapters, these exercises help students review selected concepts from the present and prior chapters, and require students to integrate multiple concepts and skills.
- Index of Applications The many applications contained within the text are listed in the Index of Applications. The applications are page referenced and grouped by subject matter.

**Chapter P. Prerequisites**

P.1. Real Numbers and Their Properties

P.2. Integral Exponents and Scientific Notation

P.3. Rational Exponents and Radicals

P.4. Complex Numbers

P.5. Polynomials

P.6. Factoring Polynomials

P.7. Rational Expressions

**Chapter 1. Equations, Inequalities, and Modeling**

1.1. Equations in One Variable

1.2. Constructing Models to Solve Problems

1.3. Equations and Graphs in Two Variables

1.4. Linear Equations in Two Variables

1.5. Scatter Diagrams and Curve Fitting

1.6. Quadratic Equations

1.7. Linear and Absolute Value and Inequalities

**Chapter 2. Functions and Graphs**

2.1. Functions

2.2. Graphs of Relations and Functions

2.3. Families of Functions, Transformations, and Symmetry

2.4. Operations with Functions

2.5. Inverse Functions

2.6. Constructing Functions with Variation

**Chapter 3. Polynomial and Rational Functions**

3.1. Quadratic Functions and Inequalities

3.2. Zeros of Polynomial Functions

3.3. The Theory of Equations

3.4. Miscellaneous Equations

3.5. Graphs of Polynomial Functions

3.6. Rational Functions and Inequalities

**Chapter 4. Exponential and Logarithmic Functions**

4.1. Exponential Functions and Their Applications

4.2. Logarithmic Functions and Their Applications

4.3. Rules of Logarithms

4.4. More Equations and Applications

**Chapter 5. The Trigonometric Functions**

5.1. Angles and Their Measurements

5.2. The Sine and Cosine Functions

5.3. The Graphs of the Sine and Cosine Functions

5.4. The Other Trigonometric Functions and Their Graphs

5.5. The Inverse Trigonometric Functions

5.6. Right Triangle Trigonometry

**Chapter 6. Trigonometric Identities and Conditional Equations**

6.1. Basic Identities

6.2. Verifying Identities

6.3. Sum and Difference Identities

6.4. Double-Angle and Half-Angle Identities

6.5. Product and Sum Identities

6.6. Conditional Trigonometric Equations

**Chapter 7. Applications of Trigonometry**

7.1. The Law of Sines

7.2. The Law of Cosines

7.3. Vectors

7.4. Trigonometric Form of Complex Numbers

7.5. Powers and Roots of Complex Numbers

7.6. Polar Equations

7.7. Parametric Equations

**Chapter 8. Systems of Equations and Inequalities**

8.1. Systems of Linear Equations in Two Variables

8.2. Systems of Linear Equations in Three Variables

8.3. Nonlinear Systems of Equations

8.4. Partial Fractions

8.5. Inequalities and Systems of Inequalities in Two Variables

8.6. The Linear Programming Model

**Chapter 9. Matrices and Determinants**

9.1. Solving Linear Systems Using Matrices

9.2. Operations with Matrices

9.3. Multiplication of Matrices

9.4. Inverses of Matrices

9.5. Solution of Linear Systems in Two Variables Using Determinants

9.6. Solution of Linear Systems in Three Variables Using Determinants

**Chapter 10. The Conic Sections**

10.1. The Parabola

10.2. The Ellipse and the Circle

10.3. The Hyperbola

**Chapter 11. Sequences, Series, and Probability**

11.1. Sequences

11.2. Series

11.3. Geometric Sequences and Series

11.4. Counting and Permutations

11.5. Combinations, Labeling, and the Binomial Theorem

11.6. Probability

11.7. Mathematical Induction

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Summary

This edition provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

**Features**

- Chapter Opener Each chapter begins with the discussion of a real-world situation that uses mathematics from the chapter. Examples and exercises that relate back to the opener are included in the chapter.
- Graphing Calculator Discussions Optional graphing calculator discussions have been included in the text. They are clearly marked by graphing calculator icons so that they can be easily skipped if desired. Students who do not use a graphing calculator can still benefit from the technology discussions, as well as from the calculator generated graphs occurring in the text. The graphing calculator is used as a tool to support and enhance algebraic conclusions, not to make conclusions.
- For Thought Each exercise set is preceded by a set of ten true/false questions that review the basic concepts in the section, help check student understanding before beginning the exercises, and offer opportunities for writing and/or discussion. The answers to all For Thought exercises are included in the back of the student edition.
- Writing/Discussion and Cooperative Learning Exercises These exercises deepen students' understanding by giving them the opportunity to express mathematical ideas both in writing and to their classmates during small group or team discussions.
- Linking Concepts Located at the end of nearly every exercise set, these multi-part exercises and explorations can be used for individual or group work. The idea of this feature is to use concepts from the current section along with concepts from preceding sections (or chapters) to solve problems that illustrate the links among various concepts. Some parts of these questions are open-ended and require more thought than standard skill-building exercises. Answers are given in the Instructor's Edition only, and full solutions can be found in the Instructor's Solutions Manual.
- Chapter Review Exercises These exercises are designed to give students a comprehensive review of the chapter without reference to individual sections and prepare students for the chapter test.
- Chapter Test The problems in the Chapter Test measure students' readiness for a typical one-hour classroom test. Instructors may also use them as a model for their own end-of-chapter tests. Students should be aware that their in-class test could vary from the Chapter Test due to different emphasis placed on the topics by individual instructors.
- Tying It All Together Found at the end of most chapters, these exercises help students review selected concepts from the present and prior chapters, and require students to integrate multiple concepts and skills.
- Index of Applications The many applications contained within the text are listed in the Index of Applications. The applications are page referenced and grouped by subject matter.

Table of Contents

**Chapter P. Prerequisites**

P.1. Real Numbers and Their Properties

P.2. Integral Exponents and Scientific Notation

P.3. Rational Exponents and Radicals

P.4. Complex Numbers

P.5. Polynomials

P.6. Factoring Polynomials

P.7. Rational Expressions

**Chapter 1. Equations, Inequalities, and Modeling**

1.1. Equations in One Variable

1.2. Constructing Models to Solve Problems

1.3. Equations and Graphs in Two Variables

1.4. Linear Equations in Two Variables

1.5. Scatter Diagrams and Curve Fitting

1.6. Quadratic Equations

1.7. Linear and Absolute Value and Inequalities

**Chapter 2. Functions and Graphs**

2.1. Functions

2.2. Graphs of Relations and Functions

2.3. Families of Functions, Transformations, and Symmetry

2.4. Operations with Functions

2.5. Inverse Functions

2.6. Constructing Functions with Variation

**Chapter 3. Polynomial and Rational Functions**

3.1. Quadratic Functions and Inequalities

3.2. Zeros of Polynomial Functions

3.3. The Theory of Equations

3.4. Miscellaneous Equations

3.5. Graphs of Polynomial Functions

3.6. Rational Functions and Inequalities

**Chapter 4. Exponential and Logarithmic Functions**

4.1. Exponential Functions and Their Applications

4.2. Logarithmic Functions and Their Applications

4.3. Rules of Logarithms

4.4. More Equations and Applications

**Chapter 5. The Trigonometric Functions**

5.1. Angles and Their Measurements

5.2. The Sine and Cosine Functions

5.3. The Graphs of the Sine and Cosine Functions

5.4. The Other Trigonometric Functions and Their Graphs

5.5. The Inverse Trigonometric Functions

5.6. Right Triangle Trigonometry

**Chapter 6. Trigonometric Identities and Conditional Equations**

6.1. Basic Identities

6.2. Verifying Identities

6.3. Sum and Difference Identities

6.4. Double-Angle and Half-Angle Identities

6.5. Product and Sum Identities

6.6. Conditional Trigonometric Equations

**Chapter 7. Applications of Trigonometry**

7.1. The Law of Sines

7.2. The Law of Cosines

7.3. Vectors

7.4. Trigonometric Form of Complex Numbers

7.5. Powers and Roots of Complex Numbers

7.6. Polar Equations

7.7. Parametric Equations

**Chapter 8. Systems of Equations and Inequalities**

8.1. Systems of Linear Equations in Two Variables

8.2. Systems of Linear Equations in Three Variables

8.3. Nonlinear Systems of Equations

8.4. Partial Fractions

8.5. Inequalities and Systems of Inequalities in Two Variables

8.6. The Linear Programming Model

**Chapter 9. Matrices and Determinants**

9.1. Solving Linear Systems Using Matrices

9.2. Operations with Matrices

9.3. Multiplication of Matrices

9.4. Inverses of Matrices

9.5. Solution of Linear Systems in Two Variables Using Determinants

9.6. Solution of Linear Systems in Three Variables Using Determinants

**Chapter 10. The Conic Sections**

10.1. The Parabola

10.2. The Ellipse and the Circle

10.3. The Hyperbola

**Chapter 11. Sequences, Series, and Probability**

11.1. Sequences

11.2. Series

11.3. Geometric Sequences and Series

11.4. Counting and Permutations

11.5. Combinations, Labeling, and the Binomial Theorem

11.6. Probability

11.7. Mathematical Induction

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

Published: 2007

International: No

This edition provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

**Features**

- Chapter Opener Each chapter begins with the discussion of a real-world situation that uses mathematics from the chapter. Examples and exercises that relate back to the opener are included in the chapter.
- Graphing Calculator Discussions Optional graphing calculator discussions have been included in the text. They are clearly marked by graphing calculator icons so that they can be easily skipped if desired. Students who do not use a graphing calculator can still benefit from the technology discussions, as well as from the calculator generated graphs occurring in the text. The graphing calculator is used as a tool to support and enhance algebraic conclusions, not to make conclusions.
- For Thought Each exercise set is preceded by a set of ten true/false questions that review the basic concepts in the section, help check student understanding before beginning the exercises, and offer opportunities for writing and/or discussion. The answers to all For Thought exercises are included in the back of the student edition.
- Writing/Discussion and Cooperative Learning Exercises These exercises deepen students' understanding by giving them the opportunity to express mathematical ideas both in writing and to their classmates during small group or team discussions.
- Linking Concepts Located at the end of nearly every exercise set, these multi-part exercises and explorations can be used for individual or group work. The idea of this feature is to use concepts from the current section along with concepts from preceding sections (or chapters) to solve problems that illustrate the links among various concepts. Some parts of these questions are open-ended and require more thought than standard skill-building exercises. Answers are given in the Instructor's Edition only, and full solutions can be found in the Instructor's Solutions Manual.
- Chapter Review Exercises These exercises are designed to give students a comprehensive review of the chapter without reference to individual sections and prepare students for the chapter test.
- Chapter Test The problems in the Chapter Test measure students' readiness for a typical one-hour classroom test. Instructors may also use them as a model for their own end-of-chapter tests. Students should be aware that their in-class test could vary from the Chapter Test due to different emphasis placed on the topics by individual instructors.
- Tying It All Together Found at the end of most chapters, these exercises help students review selected concepts from the present and prior chapters, and require students to integrate multiple concepts and skills.
- Index of Applications The many applications contained within the text are listed in the Index of Applications. The applications are page referenced and grouped by subject matter.

**Chapter P. Prerequisites**

P.1. Real Numbers and Their Properties

P.2. Integral Exponents and Scientific Notation

P.3. Rational Exponents and Radicals

P.4. Complex Numbers

P.5. Polynomials

P.6. Factoring Polynomials

P.7. Rational Expressions

**Chapter 1. Equations, Inequalities, and Modeling**

1.1. Equations in One Variable

1.2. Constructing Models to Solve Problems

1.3. Equations and Graphs in Two Variables

1.4. Linear Equations in Two Variables

1.5. Scatter Diagrams and Curve Fitting

1.6. Quadratic Equations

1.7. Linear and Absolute Value and Inequalities

**Chapter 2. Functions and Graphs**

2.1. Functions

2.2. Graphs of Relations and Functions

2.3. Families of Functions, Transformations, and Symmetry

2.4. Operations with Functions

2.5. Inverse Functions

2.6. Constructing Functions with Variation

**Chapter 3. Polynomial and Rational Functions**

3.1. Quadratic Functions and Inequalities

3.2. Zeros of Polynomial Functions

3.3. The Theory of Equations

3.4. Miscellaneous Equations

3.5. Graphs of Polynomial Functions

3.6. Rational Functions and Inequalities

**Chapter 4. Exponential and Logarithmic Functions**

4.1. Exponential Functions and Their Applications

4.2. Logarithmic Functions and Their Applications

4.3. Rules of Logarithms

4.4. More Equations and Applications

**Chapter 5. The Trigonometric Functions**

5.1. Angles and Their Measurements

5.2. The Sine and Cosine Functions

5.3. The Graphs of the Sine and Cosine Functions

5.4. The Other Trigonometric Functions and Their Graphs

5.5. The Inverse Trigonometric Functions

5.6. Right Triangle Trigonometry

**Chapter 6. Trigonometric Identities and Conditional Equations**

6.1. Basic Identities

6.2. Verifying Identities

6.3. Sum and Difference Identities

6.4. Double-Angle and Half-Angle Identities

6.5. Product and Sum Identities

6.6. Conditional Trigonometric Equations

**Chapter 7. Applications of Trigonometry**

7.1. The Law of Sines

7.2. The Law of Cosines

7.3. Vectors

7.4. Trigonometric Form of Complex Numbers

7.5. Powers and Roots of Complex Numbers

7.6. Polar Equations

7.7. Parametric Equations

**Chapter 8. Systems of Equations and Inequalities**

8.1. Systems of Linear Equations in Two Variables

8.2. Systems of Linear Equations in Three Variables

8.3. Nonlinear Systems of Equations

8.4. Partial Fractions

8.5. Inequalities and Systems of Inequalities in Two Variables

8.6. The Linear Programming Model

**Chapter 9. Matrices and Determinants**

9.1. Solving Linear Systems Using Matrices

9.2. Operations with Matrices

9.3. Multiplication of Matrices

9.4. Inverses of Matrices

9.5. Solution of Linear Systems in Two Variables Using Determinants

9.6. Solution of Linear Systems in Three Variables Using Determinants

**Chapter 10. The Conic Sections**

10.1. The Parabola

10.2. The Ellipse and the Circle

10.3. The Hyperbola

**Chapter 11. Sequences, Series, and Probability**

11.1. Sequences

11.2. Series

11.3. Geometric Sequences and Series

11.4. Counting and Permutations

11.5. Combinations, Labeling, and the Binomial Theorem

11.6. Probability

11.7. Mathematical Induction