# Elementary & Intermediate Algebra (3e)

George Woodbury, College of the Sequoias
Title Elementary & Intermediate Algebra
Edition 3rd
ISBN 9780321665485
ISBN 10 0321665481
Published 27/12/2010
Pages 976
Format Cloth
Out of stock

Total Price \$150.95 Add to Cart
##### Description

For many students, developmental mathematics is the gateway to success in academics and in life. George Woodbury strives to provide his students (and yours!) with a complete learning package that empowers them to succeed in developmental mathematics and beyond. The Woodbury suite consists of a combined text written from the ground up to minimize overlap between elementary and intermediate algebra, a new workbook that helps students make connections between skills and concepts, and a robust MyMathLab® course.

1. Review of Real Numbers

1.1. Integers, Opposites, and Absolute Values

1.2. Operations with Integers

1.3. Fractions

1.4. Operations with Fractions

1.5. Decimals and Percents

1.6. Basic Statistics

1.7. Exponents and Order of Operations

1.8 Introduction to Algebra

2. Linear Equations

2.1. Introduction to Linear Equations

2.2. Solving Linear Equations: A General Strategy

2.3. Problem Solving; Applications of Linear Equations

2.4. Applications Involving Percentages; Ration and Proportion

2.5. Linear Inequalities

3. Graphing Linear Equations

3.1. The Rectangular Coordinate System; Equations in Two Variables

3.2. Graphing Linear Equations and Their Intercepts

3.3. Slope of a Line

3.4. Linear Functions

3.5. Parallel and Perpendicular Lines

3.6. Equations of Lines

3.7. Linear Inequalities

4. Systems of Equations

4.1. Systems of Linear Equations; Solving Systems by Graphing

4.2. Solving Systems of Equations by Using the Substitution Method

4.3. Solving Systems of Equations by Using the Addition Method

4.4. Applications of Systems of Equations

4.5. Systems of Linear Inequalities

5. Exponents and Polynomials

5.1. Exponents

5.2. Negative Exponents; Scientific Notation

5.3. Polynomials; Addition and Subtraction of Polynomials

5.4. Multiplying Polynomials

5.5. Dividing of Polynomials

6.1. An Introduction to Factoring; the Greatest Common Factor; Factoring by Grouping

6.2. Factoring Trinomials of the Form x2 + bx + c

6.3. Factoring Trinomials of the Form ax2 + bx + c, where a ≠ 1

6.4. Factoring Special Binomials

6.5. Factoring Polynomials: A General Strategy

6.6. Solving Quadratic Equations by Factoring

7. Rational Expressions and Equations

7.1. Rational Expressions and Functions

7.2. Multiplication and Division of Rational Expressions

7.3. Addition and Subtraction of Rational Expressions That Have the Same Denominator

7.4. Addition and Subtraction of Rational Expressions That Have Different Denominators

7.5. Complex Fractions

7.6. Rational Equations

7.7. Applications of Rational Equations

8. A Transition

8.1. Linear Equations and Absolute Value Equations

8.2. Linear Inequalities and Absolute Value Inequalities

8.3. Graphing Linear Equations and Functions; Graphing Absolute Value Functions

8.4. Review of Factoring; Quadratic Equations and Rational Equations

8.5. Systems of Equations (Two Equations in Two Unknowns, Three Equations in Three Unknowns)

9.2. Rational Exponents

9.4. Multiplying and Dividing Radical Expressions

9.6. The Complex Numbers

10.1. Solving Quadratic Equations by Extracting Square Roots; Completing the Square

10.3. Equations That Are Quadratic in Form

11. Functions

11.1. Review of Functions

11.2. Linear Functions

11.4. Other Functions and Their Graphs

11.5. The Algebra of Functions

11.6. Inverse Functions

12. Logarithmic and Exponential Functions

12.1. Exponential Functions

12.2. Logarithmic Functions

12.3. Properties of Logarithms

12.4. Exponential and Logarithmic Equations

12.5. Applications of Exponential and Logarithmic Functions

12.6. Graphing Exponential and Logarithmic Functions

13. Conic Sections

13.1. Parabolas

13.2. Circles

13.3. Ellipses

13.4. Hyperbolas

13.5. Nonlinear Systems of Equations

14. Sequences, Series, and the Binomial Theorem

14.1. Sequences and Series

14.2. Arithmetic Sequences and Series

14.3. Geometric Sequences and Series

14.4. The Binomial Theorem

Appendices

A-1. Synthetic Division

A-2. Using Matrices to Solve Systems of Equations

##### New to this edition

New and Updated Features

• The Chapter Summary has been expanded to a two-column format that outlines the most important procedures from the chapter and then provides an example for each.

New to the Supplements Package

• George Woodbury’s Guide to MyMathLab provides instructors with helpful ways to make the most of their MyMathLab experience. New and experienced users alike will benefit from George Woodbury's tips for implementing the many useful features available through MyMathLab.
• The new Guide to Skills and Concepts, specifically designed for the Woodbury series, includes additional exercises and resources for every section of the text to help students make the transition from acquiring skills to learning concepts. This workbook can be packaged with the textbook or the MyMathLab access code.
• The Chapter Test Prep Videos, which allow students to watch instructors work through step-by-step solutions to all the Chapter Test exercises from the textbook, are now available on YouTube (search for “WoodburyElemIntAlg”)
• MyMathLab® enhancements for Elementary and Intermediate Algebra include the following:
• Premade MyMathLab courses, created by George Woodbury, are based on course structures outlined in George Woodbury’s Guide to MyMathLab.
• Increased exercise coverage gives instructors more homework options than ever before.
• Premade homework assignments, created by George Woodbury, are now available within the homework manager.
• An Interactive English/Spanish glossary offers definitions of important mathematical terms in both English and Spanish.

Content Changes:

• A new section covers basic statistics (Section 1.6).
• Dimensional analysis is introduced in Section 2.4 (Applications Involving Percentages; Ratio and Proportion), and additional coverage can be found online.
• Section 3.1 (The Rectangular Coordinate System; Equations in Two Variables) now has an additional example and exercises that use real-world data for plotting ordered pairs.
• The factoring exercises in Section 6.5 (Factoring Polynomials: A General Strategy) have been restructured.
• The presentation of topics and objectives in Section 7.1 (Rational Expressions and Functions) has been reorganized.
• The coverage of factoring polynomials in Section 8.4 (Review of Factoring; Quadratic Equations and Rational Equations) has been expanded with additional examples and a General Factoring Strategy.
• An example that uses systems of two linear equations in two unknowns to solve real-world problems was added to Section 8.5 (Systems of Equations, Two Equations in Two Unknowns, Three Equations in Three Unknowns).
• New application problems on Body Surface Area (BSA) and distance to the horizon were added to Section 9.5 (Radical Equations and Applications of Radical Equations).
• A general strategy for solving quadratic equations was added to Chapter 10 (Section 10.2, The Quadratic Formula).
• The presentation of topics in Section 10.4 (Graphing Quadratic Equations) was revised to clarify graphing quadratic equations in standard form.
• Starting in Section 11.3 (Quadratic Functions), a new approach to graphing that focuses on shifts and transitions instead of a point-plotting method is used throughout Chapters 11—13.
• Sections 12.1 (Exponential Functions) and 12.2 (Logarithmic Functions) focus on the basic graphs of these functions. The graphs of and are then covered completely in Section 12.6 (Graphing Exponential and Logarithmic Functions).

##### Features & benefits

The Textbook

• Elementary and Intermediate Algebra was written from the ground-up as a combined text to help students move seamlessly from one course to the other and to eliminate much of the overlap between the two courses.
• A Transition Chapter (Chapter 8) reviews and expands upon essential topics from elementary algebra, while introducing new topics that begin the intermediate algebra course.
• Coverage of functions is integrated throughout the text to prepare students for college algebra; however, the material is written in such a way that instructors are able to cover functions later if preferred.
• A Study Strategy is introduced in each chapter opener and then expanded upon throughout the chapter in the Building Your Study Strategy boxes that appear before each exercise set. By reinforcing good study habits, these strategies will equip students for success as they progress through the textbook.
• Quick Check Exercises, paired with each example, allow students to practice what they are learning as they read through each section. The answers to these exercises are provided in the back of the book so students can check their understanding.
• Quality exercises provide the diverse practice students need to succeed. Exercise types include the following:
• Vocabulary Exercises begin each section’s exercises and check understanding of the basic vocabulary presented in the preceding section.
• Mixed Practice Problems provide an opportunity to practice multiple types of problems in one setting. With these exercises, students first need to determine the correct method used to solve a problem, which reduces their tendency to simply memorize steps to solve the problems for each objective. These are provided as appropriate throughout the book.
• Writing in Mathematics Exercises ask students to explain their answers in written form, an important skill that often leads to a higher level of understanding, as acknowledged by AMATYC Standards. Additionally, students can practice their writing skills through Solutions Manual Exercises and Newsletter Exercises, which appear in relevant spots throughout the text.
• Quick Review Exercises appear once in each chapter to maintain skills and prepare for the upcoming concepts.
• Comprehensive end-of-chapter material serves as an excellent resource for extra practice and test preparation. Every chapter concludes with a newly expanded Chapter Summary, a summary of the chapter’s Study Strategies, Chapter Review Exercises, and a Chapter Test. Full solutions for highlighted chapter review exercises are provided in the back of the text as yet another way for students to assess their understanding and check their work in preparation for the classroom exam.
• Cumulative Review exercises can be found after Chapters 4, 7, 11, and 14.These exercises are strategically placed to help students review for midterm and final exams.
• Mathematicians in History activities provide an opportunity to learn about the rich and diverse history of mathematics. These short research projects ask students to investigate the life of a prominent mathematician and can be assigned as independent work or as collaborative learning activities. Questions are provided for each activity.

The Workbook

• NEW! The Guide to Skills and Concepts, specifically designed for the Woodbury series, includes additional exercises and resources for every section of the text to help students make the transition from acquiring skills to learning concepts. This workbook can be packaged with the textbook or the MyMathLab access code, and includes the following materials for each section of the text:
• Learning objectives
• Vocabulary terms with fill-in-the-blank exercises
• Warm-up exercises
• Guided examples
• Extra practice exercises

MyMathLab Resources

• George Woodbury’s Guide to MyMathLab provides instructors with helpful ways to make the most of their MyMathLab experience. New and experienced users alike will benefit from George Woodbury's tips for implementing the many useful features available in MyMathLab. The guide includes the following resources and more:
• MyMathLab course outlines designed to suit a variety of learning environments.
• Course IDs for model courses, created by George Woodbury, that instructors can copy into their own MyMathLab accounts.
• The MyMathLab courses also contain a wealth of resources for instructors and students:
• Increased exercise coverage gives instructors more homework options than ever before.
• Premade homework assignments, created by George Woodbury, are now available within the homework manager.
• An array of video resources including lectures for each section of the text, chapter test prep videos for all chapter test exercises, and concept videos are also available.
• An Interactive English/Spanish glossary offers definitions of important mathematical terms in both English and Spanish.

##### Author biography
George Woodbury earned his bachelor’s degree in mathematics from the University of California—Santa Barbara in 1990 and his master’s degree in mathematics from California State University—Northridge in 1994. He currently teaches at College of the Sequoias in Visalia, CA, just outside of Fresno. He has been honored as an instructor by both his students and his colleagues. Aside from teaching and writing, George served as the department chair of the math/engineering division from 1999 through 2004.