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by Ron Larson, Robert Hostetler and Ann V. Hodgkins

Cover type: HardbackEdition: 06

Copyright: 2006

Publisher: Houghton Mifflin Harcourt

Published: 2006

International: No

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College Algebra: A Concise Course provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage optional discovery and exploration activities that use technology and are integrated throughout the text.

The Fifth Edition enhances problem solving coverage through Make a Decision features. These features are threaded throughout each chapter, beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. This edition also features Eduspace, Houghton Mifflin's online learning tool, which allows instructors to teach all or part of a course online, and provides students with additional practice, review, and homework problems.

- A full version of this text, College Algebra: Concepts and Models, provides additional introductory review.
- New! Make a Decision features thread through each chapter beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. Students are asked to choose which answer fits within the context of a problem, to interpret answers in the context of a problem, to choose an appropriate model for a data set, or to decide whether a current model will continue to be accurate in future years. The student must examine all data and decide upon a final answer.
- Chapter Projects extend applications designed to enhance students understanding of mathematical concepts. Real data is previewed at the beginning of the chapter and then analyzed in detail in the Project at the end of the chapter. Here the student is guided through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze the data.
- A variety of exercise types are included in each exercise set. Questions involving skills, modeling, writing, critical thinking, problem-solving, applications, and real data sets are included throughout the text. Exercises are presented in a variety of question formats, including free response, true/false, and fill-in the blank.
- New! "In the News" Articles from current media sources (magazines, newspapers, web sites, etc.) have been added to every chapter. Students answer questions that connect the article and the algebra learned in that section. This feature allows students to see the relevancy of what they are learning, and the importance of everyday mathematics.
- Discussing the Concept activities end most sections and encourage students to think, reason, and write about algebra. These exercises help synthesize the concepts and methods presented in the section. Instructors can use these problems for individual student work, for collaborative work or for class discussion. In many sections, problems in the exercise sets have been marked with a special icon in the instructor's edition as alternative discussion/collaborative problem.
- Discovery activities provide opportunities for the exploration of selected mathematical concepts. Students are encouraged to use techniques such as visualization and modeling to develop their intuitive understanding of theoretical concepts. These optional activities can be omitted at the instructor's discretion without affecting the flow of the material.
- New! Eduspace, Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content.

Note: Each chapter includes an Opener, Mid-Chapter Quiz, Project, Summary, Review Exercises, and Test.

R1. Fundamental Concepts of Algebra (Web/CD only)

R1.1 Real Numbers: Order and Absolute Value

R1.2 The Basic Rules of Algebra

R1.3 Integer Exponents

R1.4 Radicals and Rational Exponents

R1.5 Polynomials and Special Products

R1.6 Factoring

R1.7 Fractional Expressions

R2. Equations and Inequalities (Web/CD only)

R2.1 Linear Equations

R2.2 Mathematical Modeling

R2.3 Quadratic Equations

R2.4 The Quadratic Formula

R2.5 Other Types of Equations

R2.6 Linear Inequalities

R2.7 Other Types of Inequalities

Cumulative Test: Chapters R1-R2

1. Functions and Graphs

1.1 Graphs of Equations

1.2 Lines in the Plane

1.3 Linear Modeling and Direct Variation

1.4 Functions

1.5 Graphs of Functions

1.6 Transformations of Functions

1.7 The Algebra of Functions

1.8 Inverse Functions

2. Polynomial and Rational Functions

2.1 Quadratic Functions and Models

2.2 Polynomial Functions of Higher Degree

2.3 Polynomial Division

2.4 Real Zeros of Polynomial Functions

2.5 Complex Numbers

2.6 The Fundamental Theorem of Algebra

2.7 Rational Functions

3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Properties of Logarithms

3.4 Solving Exponential and Logarithmic Equations

3.5 Exponential and Logarithmic Models

Cumulative Test: Chapters 1-3

4. Systems of Equations and Inequalities

4.1 Solving Linear Systems using Substitution

4.2 Solving Linear Systems using Elimination

4.3 Linear Systems in Three or More Variables

4.4 Systems of Inequalities

4.5 Linear Programming--Optional Topic (Web/CD only)

5. Matrices and Determinants

5.1 Matrices and Linear Systems

5.2 Operations with Matrices

5.3 The Inverse of a Square Matrix

5.4 The Determinant of a Square Matrix

5.5 Applications of Matrices and Determinants

6. Sequences, Series, and Probability

6.1 Sequences and Summation Notation

6.2 Arithmetic Sequences and Series

6.3 Geometric Sequences and Series

6.4 The Binomial Theorem

6.5 Counting Principles

6.6 Probability

6.7 Mathematical Induction--Optional Topic (Web/CD only)

Cumulative Test: Chapters 4-6

Appendices

A. An Introduction to Graphing Utilities

B. Conic Sections

B.1 Conic Sections

B.2 Conic Sections and Translations

C. Further Concepts in Statistics (Web/CD only)

C.1 Data and Linear Modeling

C.2 Measures of Central Tendency and Dispersion

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Summary

College Algebra: A Concise Course provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage optional discovery and exploration activities that use technology and are integrated throughout the text.

The Fifth Edition enhances problem solving coverage through Make a Decision features. These features are threaded throughout each chapter, beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. This edition also features Eduspace, Houghton Mifflin's online learning tool, which allows instructors to teach all or part of a course online, and provides students with additional practice, review, and homework problems.

- A full version of this text, College Algebra: Concepts and Models, provides additional introductory review.
- New! Make a Decision features thread through each chapter beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. Students are asked to choose which answer fits within the context of a problem, to interpret answers in the context of a problem, to choose an appropriate model for a data set, or to decide whether a current model will continue to be accurate in future years. The student must examine all data and decide upon a final answer.
- Chapter Projects extend applications designed to enhance students understanding of mathematical concepts. Real data is previewed at the beginning of the chapter and then analyzed in detail in the Project at the end of the chapter. Here the student is guided through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze the data.
- A variety of exercise types are included in each exercise set. Questions involving skills, modeling, writing, critical thinking, problem-solving, applications, and real data sets are included throughout the text. Exercises are presented in a variety of question formats, including free response, true/false, and fill-in the blank.
- New! "In the News" Articles from current media sources (magazines, newspapers, web sites, etc.) have been added to every chapter. Students answer questions that connect the article and the algebra learned in that section. This feature allows students to see the relevancy of what they are learning, and the importance of everyday mathematics.
- Discussing the Concept activities end most sections and encourage students to think, reason, and write about algebra. These exercises help synthesize the concepts and methods presented in the section. Instructors can use these problems for individual student work, for collaborative work or for class discussion. In many sections, problems in the exercise sets have been marked with a special icon in the instructor's edition as alternative discussion/collaborative problem.
- Discovery activities provide opportunities for the exploration of selected mathematical concepts. Students are encouraged to use techniques such as visualization and modeling to develop their intuitive understanding of theoretical concepts. These optional activities can be omitted at the instructor's discretion without affecting the flow of the material.
- New! Eduspace, Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content.

Table of Contents

Note: Each chapter includes an Opener, Mid-Chapter Quiz, Project, Summary, Review Exercises, and Test.

R1. Fundamental Concepts of Algebra (Web/CD only)

R1.1 Real Numbers: Order and Absolute Value

R1.2 The Basic Rules of Algebra

R1.3 Integer Exponents

R1.4 Radicals and Rational Exponents

R1.5 Polynomials and Special Products

R1.6 Factoring

R1.7 Fractional Expressions

R2. Equations and Inequalities (Web/CD only)

R2.1 Linear Equations

R2.2 Mathematical Modeling

R2.3 Quadratic Equations

R2.4 The Quadratic Formula

R2.5 Other Types of Equations

R2.6 Linear Inequalities

R2.7 Other Types of Inequalities

Cumulative Test: Chapters R1-R2

1. Functions and Graphs

1.1 Graphs of Equations

1.2 Lines in the Plane

1.3 Linear Modeling and Direct Variation

1.4 Functions

1.5 Graphs of Functions

1.6 Transformations of Functions

1.7 The Algebra of Functions

1.8 Inverse Functions

2. Polynomial and Rational Functions

2.1 Quadratic Functions and Models

2.2 Polynomial Functions of Higher Degree

2.3 Polynomial Division

2.4 Real Zeros of Polynomial Functions

2.5 Complex Numbers

2.6 The Fundamental Theorem of Algebra

2.7 Rational Functions

3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Properties of Logarithms

3.4 Solving Exponential and Logarithmic Equations

3.5 Exponential and Logarithmic Models

Cumulative Test: Chapters 1-3

4. Systems of Equations and Inequalities

4.1 Solving Linear Systems using Substitution

4.2 Solving Linear Systems using Elimination

4.3 Linear Systems in Three or More Variables

4.4 Systems of Inequalities

4.5 Linear Programming--Optional Topic (Web/CD only)

5. Matrices and Determinants

5.1 Matrices and Linear Systems

5.2 Operations with Matrices

5.3 The Inverse of a Square Matrix

5.4 The Determinant of a Square Matrix

5.5 Applications of Matrices and Determinants

6. Sequences, Series, and Probability

6.1 Sequences and Summation Notation

6.2 Arithmetic Sequences and Series

6.3 Geometric Sequences and Series

6.4 The Binomial Theorem

6.5 Counting Principles

6.6 Probability

6.7 Mathematical Induction--Optional Topic (Web/CD only)

Cumulative Test: Chapters 4-6

Appendices

A. An Introduction to Graphing Utilities

B. Conic Sections

B.1 Conic Sections

B.2 Conic Sections and Translations

C. Further Concepts in Statistics (Web/CD only)

C.1 Data and Linear Modeling

C.2 Measures of Central Tendency and Dispersion

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2006

International: No

Published: 2006

International: No

College Algebra: A Concise Course provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage optional discovery and exploration activities that use technology and are integrated throughout the text.

The Fifth Edition enhances problem solving coverage through Make a Decision features. These features are threaded throughout each chapter, beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. This edition also features Eduspace, Houghton Mifflin's online learning tool, which allows instructors to teach all or part of a course online, and provides students with additional practice, review, and homework problems.

- A full version of this text, College Algebra: Concepts and Models, provides additional introductory review.
- New! Make a Decision features thread through each chapter beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. Students are asked to choose which answer fits within the context of a problem, to interpret answers in the context of a problem, to choose an appropriate model for a data set, or to decide whether a current model will continue to be accurate in future years. The student must examine all data and decide upon a final answer.
- Chapter Projects extend applications designed to enhance students understanding of mathematical concepts. Real data is previewed at the beginning of the chapter and then analyzed in detail in the Project at the end of the chapter. Here the student is guided through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze the data.
- A variety of exercise types are included in each exercise set. Questions involving skills, modeling, writing, critical thinking, problem-solving, applications, and real data sets are included throughout the text. Exercises are presented in a variety of question formats, including free response, true/false, and fill-in the blank.
- New! "In the News" Articles from current media sources (magazines, newspapers, web sites, etc.) have been added to every chapter. Students answer questions that connect the article and the algebra learned in that section. This feature allows students to see the relevancy of what they are learning, and the importance of everyday mathematics.
- Discussing the Concept activities end most sections and encourage students to think, reason, and write about algebra. These exercises help synthesize the concepts and methods presented in the section. Instructors can use these problems for individual student work, for collaborative work or for class discussion. In many sections, problems in the exercise sets have been marked with a special icon in the instructor's edition as alternative discussion/collaborative problem.
- Discovery activities provide opportunities for the exploration of selected mathematical concepts. Students are encouraged to use techniques such as visualization and modeling to develop their intuitive understanding of theoretical concepts. These optional activities can be omitted at the instructor's discretion without affecting the flow of the material.
- New! Eduspace, Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content.

R1. Fundamental Concepts of Algebra (Web/CD only)

R1.1 Real Numbers: Order and Absolute Value

R1.2 The Basic Rules of Algebra

R1.3 Integer Exponents

R1.4 Radicals and Rational Exponents

R1.5 Polynomials and Special Products

R1.6 Factoring

R1.7 Fractional Expressions

R2. Equations and Inequalities (Web/CD only)

R2.1 Linear Equations

R2.2 Mathematical Modeling

R2.3 Quadratic Equations

R2.4 The Quadratic Formula

R2.5 Other Types of Equations

R2.6 Linear Inequalities

R2.7 Other Types of Inequalities

Cumulative Test: Chapters R1-R2

1. Functions and Graphs

1.1 Graphs of Equations

1.2 Lines in the Plane

1.3 Linear Modeling and Direct Variation

1.4 Functions

1.5 Graphs of Functions

1.6 Transformations of Functions

1.7 The Algebra of Functions

1.8 Inverse Functions

2. Polynomial and Rational Functions

2.1 Quadratic Functions and Models

2.2 Polynomial Functions of Higher Degree

2.3 Polynomial Division

2.4 Real Zeros of Polynomial Functions

2.5 Complex Numbers

2.6 The Fundamental Theorem of Algebra

2.7 Rational Functions

3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Properties of Logarithms

3.4 Solving Exponential and Logarithmic Equations

3.5 Exponential and Logarithmic Models

Cumulative Test: Chapters 1-3

4. Systems of Equations and Inequalities

4.1 Solving Linear Systems using Substitution

4.2 Solving Linear Systems using Elimination

4.3 Linear Systems in Three or More Variables

4.4 Systems of Inequalities

4.5 Linear Programming--Optional Topic (Web/CD only)

5. Matrices and Determinants

5.1 Matrices and Linear Systems

5.2 Operations with Matrices

5.3 The Inverse of a Square Matrix

5.4 The Determinant of a Square Matrix

5.5 Applications of Matrices and Determinants

6. Sequences, Series, and Probability

6.1 Sequences and Summation Notation

6.2 Arithmetic Sequences and Series

6.3 Geometric Sequences and Series

6.4 The Binomial Theorem

6.5 Counting Principles

6.6 Probability

6.7 Mathematical Induction--Optional Topic (Web/CD only)

Cumulative Test: Chapters 4-6

Appendices

A. An Introduction to Graphing Utilities

B. Conic Sections

B.1 Conic Sections

B.2 Conic Sections and Translations

C. Further Concepts in Statistics (Web/CD only)

C.1 Data and Linear Modeling

C.2 Measures of Central Tendency and Dispersion