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by Ron Larson and Robert P. Hostetler

Edition: 7TH 07Copyright: 2007

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

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This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Seventh Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

- New! Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles.
- New! Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
- New! Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts.
- Exercise Sets have been carefully analyzed and revised to improve the categorization of problems from basic skill-building to challenging; improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications.
- New! Make a Decision applications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format.Eduspace, powered by Blackboard, Houghton Mifflin's online learning environment, brings your students quality online homework, tutorials, multimedia, and testing that correspond to the College Algebra text. This content is paired with the recognized course management tools of Blackboard.

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

1.1 Graphs of Equations

1.2 Linear Equations in One Variable

1.3 Modeling with Linear Equations

1.4 Quadratic Equations and Applications

1.5 Complex Numbers

1.6 Other Types of Equations

1.7 Linear Inequalities in One Variable

1.8 Other Types of Inequalities

**2. Functions and Their Graphs**

2.1 Linear Equations in Two Variables

2.2 Functions

2.3 Analyzing Graphs of Functions

2.4 A Library of Functions

2.5 Shifting, Reflecting, and Stretching Graphs

2.6 Combinations of Functions

2.7 Inverse Functions

Cumulative Test: Chapters P-2

**3. Polynomial Functions**

3.1 Quadratic Functions and Models

3.2 Polynomial Functions of Higher Degree

3.3 Polynomial and Synthetic Division

3.4 Zeros of Polynomial Functions

3.5 Mathematical Modeling

**4. Rational Functions and Conics**

4.1 Rational Functions and Asymptotes

4.2 Graphs of Rational Functions

4.3 Conics

4.4 Translations of Conics

**5. Exponential and Logarithmic Functions**

5.1 Exponential Functions and Their Graphs

5.2 Logarithmic Functions and Their Graphs

5.3 Properties of Logarithms

5.4 Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

Cumulative Test: Chapters 3-5

**6. Trigonometry**

6.1 Angles and Their Measure

6.2 Right Triangle Trigonometry

6.3 Trigonometric Functions of Any Angle

6.4 Graphs of Sine and Cosine Functions

6.5 Graphs of Other Trigonometric Functions

6.6 Inverse Trigonometric Functions

6.7 Applications and Models

**7. Analytic Trigonometry**

7.1 Using Fundamental Identities

7.2 Verifying Trigonometric Identities

7.3 Solving Trigonometric Equations

7.4 Sum and Difference Formulas

7.5 Multiple-Angle and Product-to-Sum Formulas

**8. Additional Topics in Trigonometry**

8.1 Law of Sines

8.2 Law of Cosines

8.3 Vectors in the Plane

8.4 Vectors and Dot Products

8.5 Trigonometric Form of a Complex Number

Cumulative Test: Chapters 6-8

**9. Systems of Equations and Inequalities**

9.1 Linear and Nonlinear Systems of Equations

9.2 Two-Variable Linear Systems

9.3 Multivariable Linear Systems

9.4 Partial Fractions

9.5 Systems of Inequalities

9.6 Linear Programming

**10. Matrices and Determinants**

10.1 Matrices and Systems of Equations

10.2 Operations with Matrices

10.3 The Inverse of a Square Matrix

10.4 The Determinant of a Square Matrix

10.5 Applications of Matrices and Determinants

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

11.1 Sequences and Series

11.2 Arithmetic Sequences and Partial Sums

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

11.6 Counting Principles

11.7 Probability

**Cumulative Test: Chapters 9-11**

Appendix A. Concepts in Statistics (web)

A.1 Representing Data

A.2 Measures of Central Tendency and Dispersion

A.3 Least Squares Regression

**Alternative/Expanded Version of Chapter P (Resource CD)**

P.1 Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1)

P.2 Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2)

P.3 Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1)

P.4 Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2)

P.5 Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3)

P.6 Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4)

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Summary

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Seventh Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

- New! Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles.
- New! Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
- New! Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts.
- Exercise Sets have been carefully analyzed and revised to improve the categorization of problems from basic skill-building to challenging; improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications.
- New! Make a Decision applications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format.Eduspace, powered by Blackboard, Houghton Mifflin's online learning environment, brings your students quality online homework, tutorials, multimedia, and testing that correspond to the College Algebra text. This content is paired with the recognized course management tools of Blackboard.

Table of Contents

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

1.1 Graphs of Equations

1.2 Linear Equations in One Variable

1.3 Modeling with Linear Equations

1.4 Quadratic Equations and Applications

1.5 Complex Numbers

1.6 Other Types of Equations

1.7 Linear Inequalities in One Variable

1.8 Other Types of Inequalities

**2. Functions and Their Graphs**

2.1 Linear Equations in Two Variables

2.2 Functions

2.3 Analyzing Graphs of Functions

2.4 A Library of Functions

2.5 Shifting, Reflecting, and Stretching Graphs

2.6 Combinations of Functions

2.7 Inverse Functions

Cumulative Test: Chapters P-2

**3. Polynomial Functions**

3.1 Quadratic Functions and Models

3.2 Polynomial Functions of Higher Degree

3.3 Polynomial and Synthetic Division

3.4 Zeros of Polynomial Functions

3.5 Mathematical Modeling

**4. Rational Functions and Conics**

4.1 Rational Functions and Asymptotes

4.2 Graphs of Rational Functions

4.3 Conics

4.4 Translations of Conics

**5. Exponential and Logarithmic Functions**

5.1 Exponential Functions and Their Graphs

5.2 Logarithmic Functions and Their Graphs

5.3 Properties of Logarithms

5.4 Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

Cumulative Test: Chapters 3-5

**6. Trigonometry**

6.1 Angles and Their Measure

6.2 Right Triangle Trigonometry

6.3 Trigonometric Functions of Any Angle

6.4 Graphs of Sine and Cosine Functions

6.5 Graphs of Other Trigonometric Functions

6.6 Inverse Trigonometric Functions

6.7 Applications and Models

**7. Analytic Trigonometry**

7.1 Using Fundamental Identities

7.2 Verifying Trigonometric Identities

7.3 Solving Trigonometric Equations

7.4 Sum and Difference Formulas

7.5 Multiple-Angle and Product-to-Sum Formulas

**8. Additional Topics in Trigonometry**

8.1 Law of Sines

8.2 Law of Cosines

8.3 Vectors in the Plane

8.4 Vectors and Dot Products

8.5 Trigonometric Form of a Complex Number

Cumulative Test: Chapters 6-8

**9. Systems of Equations and Inequalities**

9.1 Linear and Nonlinear Systems of Equations

9.2 Two-Variable Linear Systems

9.3 Multivariable Linear Systems

9.4 Partial Fractions

9.5 Systems of Inequalities

9.6 Linear Programming

**10. Matrices and Determinants**

10.1 Matrices and Systems of Equations

10.2 Operations with Matrices

10.3 The Inverse of a Square Matrix

10.4 The Determinant of a Square Matrix

10.5 Applications of Matrices and Determinants

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

11.1 Sequences and Series

11.2 Arithmetic Sequences and Partial Sums

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

11.6 Counting Principles

11.7 Probability

**Cumulative Test: Chapters 9-11**

Appendix A. Concepts in Statistics (web)

A.1 Representing Data

A.2 Measures of Central Tendency and Dispersion

A.3 Least Squares Regression

**Alternative/Expanded Version of Chapter P (Resource CD)**

P.1 Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1)

P.2 Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2)

P.3 Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1)

P.4 Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2)

P.5 Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3)

P.6 Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4)

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

Published: 2007

International: No

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Seventh Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

- New! Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles.
- New! Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
- New! Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts.
- Exercise Sets have been carefully analyzed and revised to improve the categorization of problems from basic skill-building to challenging; improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications.
- New! Make a Decision applications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format.Eduspace, powered by Blackboard, Houghton Mifflin's online learning environment, brings your students quality online homework, tutorials, multimedia, and testing that correspond to the College Algebra text. This content is paired with the recognized course management tools of Blackboard.

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

1.1 Graphs of Equations

1.2 Linear Equations in One Variable

1.3 Modeling with Linear Equations

1.4 Quadratic Equations and Applications

1.5 Complex Numbers

1.6 Other Types of Equations

1.7 Linear Inequalities in One Variable

1.8 Other Types of Inequalities

**2. Functions and Their Graphs**

2.1 Linear Equations in Two Variables

2.2 Functions

2.3 Analyzing Graphs of Functions

2.4 A Library of Functions

2.5 Shifting, Reflecting, and Stretching Graphs

2.6 Combinations of Functions

2.7 Inverse Functions

Cumulative Test: Chapters P-2

**3. Polynomial Functions**

3.1 Quadratic Functions and Models

3.2 Polynomial Functions of Higher Degree

3.3 Polynomial and Synthetic Division

3.4 Zeros of Polynomial Functions

3.5 Mathematical Modeling

**4. Rational Functions and Conics**

4.1 Rational Functions and Asymptotes

4.2 Graphs of Rational Functions

4.3 Conics

4.4 Translations of Conics

**5. Exponential and Logarithmic Functions**

5.1 Exponential Functions and Their Graphs

5.2 Logarithmic Functions and Their Graphs

5.3 Properties of Logarithms

5.4 Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

Cumulative Test: Chapters 3-5

**6. Trigonometry**

6.1 Angles and Their Measure

6.2 Right Triangle Trigonometry

6.3 Trigonometric Functions of Any Angle

6.4 Graphs of Sine and Cosine Functions

6.5 Graphs of Other Trigonometric Functions

6.6 Inverse Trigonometric Functions

6.7 Applications and Models

**7. Analytic Trigonometry**

7.1 Using Fundamental Identities

7.2 Verifying Trigonometric Identities

7.3 Solving Trigonometric Equations

7.4 Sum and Difference Formulas

7.5 Multiple-Angle and Product-to-Sum Formulas

**8. Additional Topics in Trigonometry**

8.1 Law of Sines

8.2 Law of Cosines

8.3 Vectors in the Plane

8.4 Vectors and Dot Products

8.5 Trigonometric Form of a Complex Number

Cumulative Test: Chapters 6-8

**9. Systems of Equations and Inequalities**

9.1 Linear and Nonlinear Systems of Equations

9.2 Two-Variable Linear Systems

9.3 Multivariable Linear Systems

9.4 Partial Fractions

9.5 Systems of Inequalities

9.6 Linear Programming

**10. Matrices and Determinants**

10.1 Matrices and Systems of Equations

10.2 Operations with Matrices

10.3 The Inverse of a Square Matrix

10.4 The Determinant of a Square Matrix

10.5 Applications of Matrices and Determinants

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

11.1 Sequences and Series

11.2 Arithmetic Sequences and Partial Sums

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

11.6 Counting Principles

11.7 Probability

**Cumulative Test: Chapters 9-11**

Appendix A. Concepts in Statistics (web)

A.1 Representing Data

A.2 Measures of Central Tendency and Dispersion

A.3 Least Squares Regression

**Alternative/Expanded Version of Chapter P (Resource CD)**

P.1 Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1)

P.2 Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2)

P.3 Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1)

P.4 Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2)

P.5 Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3)

P.6 Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4)