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by Richard N. Aufmann and Richard D. Nation

Cover type: HardbackEdition: 06

Copyright: 2006

Publisher: Houghton Mifflin Harcourt

Published: 2006

International: No

List price: $300.00

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This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.

In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.

- Prepare for the Next Section Exercises appear at the end of exercises and are specifically written to review prerequisite skills the student will need in the next section. Answers at the end of the text and a reference section help students review if they get a wrong answer.
- Review Notes cover prerequisite skills to help students without the necessary knowledge to understand important concepts. These example-specific notes direct students to the appropriate pages where they can practice and review the skill, thus decreasing frustration and increasing success.
- Interactive Reading Support Questions engage students in learning mathematics and encourage them to think critically.
- Visualize the Solution graphics are often paired with Algebraic Solutions to assist visual learners in understanding concepts.
- Focus on Problem Solving features at the beginning of each chapter review then demonstrate various strategies used by successful problem solvers. This builds students' comfort level with problem solving and leaves them with a collection of tips and strategies to refer to throughout the course.
- 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. See the product supplements for more information.

**1. Functions and Graphs**

1.1 Equations and Inequalities

1.2 A Two-Dimensional Coordinate System and Graphs

1.3 Introduction to Functions

1.4 Linear Functions

1.5 Quadratic Functions

1.6 Properties of Graphs

1.7 The Algebra of Functions

Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator

**2. Polynomial and Rational Functions**

2.1 Complex Numbers

2.2 The Remainder Theorem and the Factor Theorem

2.3 Polynomial Functions of Higher Degree

2.4 Zeros of Polynomial Functions

2.5 The Fundamental Theorem of Algebra

2.6 Graphs of Rational Functions and Their Applications

Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica

**3. Exponential and Logarithmic Functions**

3.1 Inverse Functions

3.2 Exponential Functions and Their Applications

3.3 Logarithmic Functions and Their Applications

3.4 Logarithms and Logarithmic Scales

3.5 Exponential and Logarithmic Equations

3.6 Exponential Growth and Decay

Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay

**4. Trigonometric Functions**

4.1 Angles and Arcs

4.2 Trigonometric Functions of Real Numbers

4.3 Graphs of the Sine and Cosine Functions

4.4 Graphs of the Other Trigonometric Functions

4.5 Graphing Techniques

Exploring Concepts with Technology: Sinusoidal Families

**5. Applications of Trigonometry and Trigonometric Identities**

5.1 Trigonometric Functions of Angles

5.2 Verification of Trigonometric Identities

5.3 More on Trigonometric Identities

5.4 Inverse Trigonometric Functions

5.5 Trigonometric Equations

5.6 The Law of Sines and the Law of Cosines

5.7 Vectors

Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials

**6. Additional Topics in Mathematics**

6.1 Conic Sections

6.2 Polar Coordinates

6.3 Parametric Equations

6.4 Sequences, Series, and Summation Notation

6.5 The Binomial Theorem

Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z

Algebra Review Appendix

Integer and Rational Number Exponents

Polynomials

Factoring

- Windows 7/8, or Mac OS X 10.6 or above

eTextbooks and eChapters can be viewed by using the free reader listed below.

Be sure to check the format of the eTextbook/eChapter you purchase to know which reader you will need. After purchasing your eTextbook or eChapter, you will be emailed instructions on where and how to download your free reader.

Due to the size of eTextbooks, a high-speed Internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.

Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.

Click Here to access the VitalSource Bookshelf FAQ

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Offline: VitalSource Bookshelf

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**Reading Aloud** - Books enabled with the "text-to-speech" feature so that they can be read aloud will show "Allowed."

**Sharing** - Books that cannot be shared with other computers will show "Not Allowed."

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**Suitable Devices** - Hardware known to be compatible with this book. Note: Reader software still needs to be installed.

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Summary

This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.

In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.

- Prepare for the Next Section Exercises appear at the end of exercises and are specifically written to review prerequisite skills the student will need in the next section. Answers at the end of the text and a reference section help students review if they get a wrong answer.
- Review Notes cover prerequisite skills to help students without the necessary knowledge to understand important concepts. These example-specific notes direct students to the appropriate pages where they can practice and review the skill, thus decreasing frustration and increasing success.
- Interactive Reading Support Questions engage students in learning mathematics and encourage them to think critically.
- Visualize the Solution graphics are often paired with Algebraic Solutions to assist visual learners in understanding concepts.
- Focus on Problem Solving features at the beginning of each chapter review then demonstrate various strategies used by successful problem solvers. This builds students' comfort level with problem solving and leaves them with a collection of tips and strategies to refer to throughout the course.
- 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. See the product supplements for more information.

Table of Contents

**1. Functions and Graphs**

1.1 Equations and Inequalities

1.2 A Two-Dimensional Coordinate System and Graphs

1.3 Introduction to Functions

1.4 Linear Functions

1.5 Quadratic Functions

1.6 Properties of Graphs

1.7 The Algebra of Functions

Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator

**2. Polynomial and Rational Functions**

2.1 Complex Numbers

2.2 The Remainder Theorem and the Factor Theorem

2.3 Polynomial Functions of Higher Degree

2.4 Zeros of Polynomial Functions

2.5 The Fundamental Theorem of Algebra

2.6 Graphs of Rational Functions and Their Applications

Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica

**3. Exponential and Logarithmic Functions**

3.1 Inverse Functions

3.2 Exponential Functions and Their Applications

3.3 Logarithmic Functions and Their Applications

3.4 Logarithms and Logarithmic Scales

3.5 Exponential and Logarithmic Equations

3.6 Exponential Growth and Decay

Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay

**4. Trigonometric Functions**

4.1 Angles and Arcs

4.2 Trigonometric Functions of Real Numbers

4.3 Graphs of the Sine and Cosine Functions

4.4 Graphs of the Other Trigonometric Functions

4.5 Graphing Techniques

Exploring Concepts with Technology: Sinusoidal Families

**5. Applications of Trigonometry and Trigonometric Identities**

5.1 Trigonometric Functions of Angles

5.2 Verification of Trigonometric Identities

5.3 More on Trigonometric Identities

5.4 Inverse Trigonometric Functions

5.5 Trigonometric Equations

5.6 The Law of Sines and the Law of Cosines

5.7 Vectors

Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials

**6. Additional Topics in Mathematics**

6.1 Conic Sections

6.2 Polar Coordinates

6.3 Parametric Equations

6.4 Sequences, Series, and Summation Notation

6.5 The Binomial Theorem

Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z

Algebra Review Appendix

Integer and Rational Number Exponents

Polynomials

Factoring

Digital Rights
**eBook Requirements**
**VitalSource Bookshelf Reader**

**Minimum System Requirements:**
**Software Requirements:**
**Download Requirements:**
**User Help:**
**Digital Rights**

- Windows 7/8, or Mac OS X 10.6 or above

eTextbooks and eChapters can be viewed by using the free reader listed below.

Be sure to check the format of the eTextbook/eChapter you purchase to know which reader you will need. After purchasing your eTextbook or eChapter, you will be emailed instructions on where and how to download your free reader.

Due to the size of eTextbooks, a high-speed Internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.

Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.

Click Here to access the VitalSource Bookshelf FAQ

VitalSource

**Copying:** Allowed, 10 selections may be copied every 180 days

**Printing:** Allowed, 10 prints for 180 days

**Expires:** Yes, may be used for 180 days after activation

**Reading Aloud:** Allowed

**Sharing:** Not Allowed

**Min. Software Version:** Online: No additional software required

Offline: VitalSource Bookshelf

**Suitable Devices:** PCs, Tablet PCs, Macs, Laptops

**Copying** - Books that cannot be copied will show "Not Allowed." Otherwise, this will detail the number of times it can be copied, or "Allowed with no limits."

Offline: VitalSource Bookshelf

**Digital Rights Management (DRM) Key**

**Printing** - Books that cannot be printed will show "Not Allowed." Otherwise, this will detail the number of times it can be printed, or "Allowed with no limits."

**Expires** - Books that have no expiration (the date upon which you will no longer be able to access your eBook) will read "No Expiration." Otherwise it will state the number of days from activation (the first time you actually read it).

**Reading Aloud** - Books enabled with the "text-to-speech" feature so that they can be read aloud will show "Allowed."

**Sharing** - Books that cannot be shared with other computers will show "Not Allowed."

**Min. Software Version** - This is the minimum software version needed to read this book.

**Suitable Devices** - Hardware known to be compatible with this book. Note: Reader software still needs to be installed.

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2006

International: No

Published: 2006

International: No

This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.

In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.

- Prepare for the Next Section Exercises appear at the end of exercises and are specifically written to review prerequisite skills the student will need in the next section. Answers at the end of the text and a reference section help students review if they get a wrong answer.
- Review Notes cover prerequisite skills to help students without the necessary knowledge to understand important concepts. These example-specific notes direct students to the appropriate pages where they can practice and review the skill, thus decreasing frustration and increasing success.
- Interactive Reading Support Questions engage students in learning mathematics and encourage them to think critically.
- Visualize the Solution graphics are often paired with Algebraic Solutions to assist visual learners in understanding concepts.
- Focus on Problem Solving features at the beginning of each chapter review then demonstrate various strategies used by successful problem solvers. This builds students' comfort level with problem solving and leaves them with a collection of tips and strategies to refer to throughout the course.
- 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. See the product supplements for more information.

**1. Functions and Graphs**

1.1 Equations and Inequalities

1.2 A Two-Dimensional Coordinate System and Graphs

1.3 Introduction to Functions

1.4 Linear Functions

1.5 Quadratic Functions

1.6 Properties of Graphs

1.7 The Algebra of Functions

Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator

**2. Polynomial and Rational Functions**

2.1 Complex Numbers

2.2 The Remainder Theorem and the Factor Theorem

2.3 Polynomial Functions of Higher Degree

2.4 Zeros of Polynomial Functions

2.5 The Fundamental Theorem of Algebra

2.6 Graphs of Rational Functions and Their Applications

Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica

**3. Exponential and Logarithmic Functions**

3.1 Inverse Functions

3.2 Exponential Functions and Their Applications

3.3 Logarithmic Functions and Their Applications

3.4 Logarithms and Logarithmic Scales

3.5 Exponential and Logarithmic Equations

3.6 Exponential Growth and Decay

Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay

**4. Trigonometric Functions**

4.1 Angles and Arcs

4.2 Trigonometric Functions of Real Numbers

4.3 Graphs of the Sine and Cosine Functions

4.4 Graphs of the Other Trigonometric Functions

4.5 Graphing Techniques

Exploring Concepts with Technology: Sinusoidal Families

**5. Applications of Trigonometry and Trigonometric Identities**

5.1 Trigonometric Functions of Angles

5.2 Verification of Trigonometric Identities

5.3 More on Trigonometric Identities

5.4 Inverse Trigonometric Functions

5.5 Trigonometric Equations

5.6 The Law of Sines and the Law of Cosines

5.7 Vectors

Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials

**6. Additional Topics in Mathematics**

6.1 Conic Sections

6.2 Polar Coordinates

6.3 Parametric Equations

6.4 Sequences, Series, and Summation Notation

6.5 The Binomial Theorem

Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z

Algebra Review Appendix

Integer and Rational Number Exponents

Polynomials

Factoring

- Windows 7/8, or Mac OS X 10.6 or above

eTextbooks and eChapters can be viewed by using the free reader listed below.

Be sure to check the format of the eTextbook/eChapter you purchase to know which reader you will need. After purchasing your eTextbook or eChapter, you will be emailed instructions on where and how to download your free reader.

Due to the size of eTextbooks, a high-speed Internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.

Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.

Click Here to access the VitalSource Bookshelf FAQ

VitalSource

**Copying:** Allowed, 10 selections may be copied every 180 days

**Printing:** Allowed, 10 prints for 180 days

**Expires:** Yes, may be used for 180 days after activation

**Reading Aloud:** Allowed

**Sharing:** Not Allowed

**Min. Software Version:** Online: No additional software required

Offline: VitalSource Bookshelf

**Suitable Devices:** PCs, Tablet PCs, Macs, Laptops

**Copying** - Books that cannot be copied will show "Not Allowed." Otherwise, this will detail the number of times it can be copied, or "Allowed with no limits."

Offline: VitalSource Bookshelf

**Digital Rights Management (DRM) Key**

**Printing** - Books that cannot be printed will show "Not Allowed." Otherwise, this will detail the number of times it can be printed, or "Allowed with no limits."

**Expires** - Books that have no expiration (the date upon which you will no longer be able to access your eBook) will read "No Expiration." Otherwise it will state the number of days from activation (the first time you actually read it).

**Reading Aloud** - Books enabled with the "text-to-speech" feature so that they can be read aloud will show "Allowed."

**Sharing** - Books that cannot be shared with other computers will show "Not Allowed."

**Min. Software Version** - This is the minimum software version needed to read this book.

**Suitable Devices** - Hardware known to be compatible with this book. Note: Reader software still needs to be installed.