Pearson - Algebra for College Students, 6/E - Margaret L. Lial, John Hornsby & Terry McGinnis

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Algebra for College Students, 6/E
Margaret L. Lial, American River College
John Hornsby, University of New Orleans
Terry McGinnis

ISBN-10: 0321442547
ISBN-13: 9780321442543

Publisher: Pearson
Copyright: 2008
Format: Cloth; 1080 pp
Published: 04/06/2007

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Description

The Lial series has helped thousands of students succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. With this edition the authors continue to provide students and instructors with the very best package for learning and teaching support–a book written with student success as its top priority and an expanded instructor supplements package.

Features

Thousands of exercises of many types are available throughout the text.

Lial’s extensive end-of-section exercises offer students many ways to practice and master the material they have just learned.
Relating Concepts exercises tie together topics and highlight the relationships among various concepts and skills.
Group Activities at the end of each chapter allow students to work collaboratively to solve a problem related to the chapter material.
Summary Exercises are included where needed to provide students with the all-important mixed review problems they need to master difficult topics. Summaries of solution methods or additional examples are often included.
Technology Insights exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (Note: a graphing calculator is NOT required to complete these exercises).

The end-of-chapter summary material provides students with ample opportunity for review. At the end of each chapter, students will find the following resources:

Key Terms and Symbols are keyed back to the appropriate section for easy reference and study.
Test Your Word Power helps students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in a multiple-choice format.
Quick Review sectionsgive students not only the main concepts from the chapter (referenced back to the appropriate section), but also an example of each concept.
Review Exercises are keyed to the appropriate sections so that students can refer to examples of that type of problem if they need help.
Mixed Review Exercises require students to solve problems without the help of section references.
Chapter Tests help students practice for the real thing.
Cumulative Review Exercises gather various types of exercises from preceding chapters to help students retain what they are learning throughout the course.

Lial’s student-friendly examples have been further enhanced in this revision with new pointers from the authors that warn students about common pitfalls. Each example will still conclude by asking students to “Now Try” one or more parallel exercises from the corresponding exercise set so that students can immediately reinforce the concepts and skills presented in the examples.

The Lial six-step problem-solving method is clearly explained in Chapter 2 and is then continually reinforced in examples and exercises throughout the text to aid students in solving application problems.

Helpful text features keep students motivated and interested in the reading:

A comprehensive glossary of key terms from throughout the text is included at the back of the book.
Real-world applications found throughout the text have been updated to keep students motivated.
Learning objectives are reinforced throughout each section as the objective is relisted where appropriate so that students always know exactly what is being covered.
Note boxes appear throughout the text to emphasize important ideas to the reader.
Caution boxes warn students about common errors.
Connections boxes provide thought-provoking questions for writing or class discussion through connections to other mathematical concepts, real-world examples, or historical background.
Problem Solving Hints boxes provide students with problem-solving tips and strategies.

Classroom Examples and Teaching Tips are located in the margins of the Annotated Instructor’s Edition. They give instructors examples to use in class that differ from those in the student text and offer guidance on presenting the material at hand.

The Annotated Instructor's Edition provides instructors with answers to all exercises, now in an easy-to-read single-column format whenever possible.

New To This Edition

Content updates:

Chapter 3 includes a new set of summary exercises on slopes and equations of lines.
Variation, formerly covered in Chapter 3, now appears in Section 7.6.
Composition is now first introduced in Section 5.3 and then reviewed in Section 10.1.
Determinants and Cramer's Rule, formerly covered in Chapter 4, now appear in Appendix D.
The presentation of the following topics has been expanded:

Review of fractions (Section 1.1)
Compound inequalities (Section 2.6)
Midpoint formula (Section 3.1)
Graphs of linear and constant functions (Section 3.5)
Composition of functions (Section 5.3)
Summary Exercises on Operations with Radicals and Rational Exponents (Chapter 8)

New and Enhanced Features:

Preview Exercises at the end of each section exercise set help students transition from one section to the next.
“Tab Your Way to Success” Guide provides students with color-coded Post-It^® tabs to mark important pages of the text that they may need to return to for review work, test preparation, instructor help, etc.
Pointers from the authors in the examples make examples even more student-friendly with additional comments from the authors that provide on-the-spot reminders and warnings about common pitfalls.
Several types of exercises have been highlighted by the authors throughout the exercise sets:

Concept Check exercises that facilitate mathematical thinking and conceptual understanding
Brain Busters that will challenge students
What Went Wrong? exercises that will ask students to identify typical errors in solutions and then work the problems correctly

Hand-drawn graphs introduce new types of graphs to students in an approachable way.
The Annotated Instructor's Edition provides instructors with answers to all exercises, now in an easy-to-read single column format whenever possible.

New to the Media Package:

Several new features have been added to the Lial MyMathLab^™ course:

Interactive “Test Your Word Power” vocabulary exercises for each chapter
Interactive “Build the Equation” activities for select word problems
A Spanish Glossary with Spanish translations of common mathematical terms

New to the Instructor Supplements Package:

PowerPoint^® Lecture Slides present key concepts and definitions from the text.
Active Learning Lecture Slides, available in PowerPoint^®, can be used with classroom response systems. Several multiple-choice questions are available for each section of the text, allowing instructors to quickly assess mastery of the material in class.
In addition to a full bank of questions for each chapter, the TestGen^® testbank will now feature a pre-made test for each chapter that has been matched problem-by-problem to the chapter tests from the text. This new feature will allow instructors to easily create tests similar to those in the book for extra practice or assessment purposes.

Table of Contents

Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises.

Chapter 1: Review of the Real Number System

1.1 Basic Concepts

1.2 Operations on Real Numbers

1.3 Exponents, Roots, and Order of Operations

1.4 Properties of Real Numbers

Chapter 2: Linear Equations, Inequalities, and Applications

2.1 Linear Equations in One Variable

2.2 Formulas

2.3 Applications of Linear Equations

2.4 Further Applications of Linear Equations

Summary Exercises on Solving Applied Problems

2.5 Linear Inequalities in One Variable

2.6 Set Operations and Compound Inequalities

2.7 Absolute Value Equations and Inequalities

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities

Chapter 3: Graphs, Linear Equations, and Functions

3.1 The Rectangular Coordinate System

3.2 The Slope of a Line

3.3 Linear Equations in Two Variables

Summary Exercises on Slopes and Equations of Lines

3.4 Linear Inequalities in Two Variables

3.5 Introduction to Functions

Chapter 4: Systems of Linear Equations

4.1 Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations in Three Variables

4.3 Applications of Systems of Linear Equations

4.4 Solving Systems of Linear Equations by Matrix Methods

Chapter 5: Exponents, Polynomials, and Polynomial Functions

5.1 Integer Exponents and Scientific Notation

5.2 Adding and Subtracting Polynomials

5.3 Polynomial Functions, Graphs, and Composition

5.4 Multiplying Polynomials

5.5 Dividing Polynomials

Chapter 6: Factoring

6.1 Greatest Common Factors; Factoring by Grouping

6.2 Factoring Trinomials

6.3 Special Factoring

6.4 A General Approach to Factoring

6.5 Solving Equations by Factoring

Chapter 7: Rational Expressions and Functions

7.1 Rational Expressions and Functions; Multiplying and Dividing

7.2 Adding and Subtracting Rational Expressions

7.3 Complex Fractions

7.4 Equations with Rational Expressions and Graphs

Summary Exercises on Rational Expressions and Equations

7.5 Applications of Rational Expressions

7.6 Variation

Chapter 8: Roots, Radicals, and Root Functions

8.1 Radical Expressions and Graphs

8.2 Rational Exponents

8.3 Simplifying Radical Expressions

8.4 Adding and Subtracting Radical Expressions

8.5 Multiplying and Dividing Radical Expressions

Summary Exercises on Operations with Radicals and Rational Exponents

8.6 Solving Equations with Radicals

8.7 Complex Numbers

Chapter 9: Quadratic Equations and Inequalities

9.1 The Square Root Property and Completing the Square

9.2 The Quadratic Formula

9.3 Equations Quadratic in Form

Summary Exercises on Solving Quadratic Equations

9.4 Formulas and Further Applications

9.5 Quadratic and Rational Inequalities

Chapter 10: Additional Graphs of Functions and Relations

10.1 Review of Operations and Composition

10.2 Graphs of Quadratic Functions

10.3 More about Parabolas and Their Applications

10.4 Symmetry; Increasing and Decreasing Functions

10.5 Piecewise Linear Functions

Chapter 11: Inverse, Exponential, and Logarithmic Functions

11.1 Inverse Functions

11.2 Exponential Functions

11.3 Logarithmic Functions

11.4 Properties of Logarithms

11.5 Common and Natural Logarithms

11.6 Exponential and Logarithmic Equations; Further Applications

Chapter 12: Polynomial and Rational Functions

12.1 Synthetic Division

12.2 Zeros of Polynomial Functions

12.3 Graphs and Applications of Polynomial Functions

Summary Exercises on Polynomial Functions and Graphs

12.4 Graphs and Applications of Rational Functions

Chapter 13: Conic Sections and Systems of Inequalities

13.1 The Circle and the Ellipse

13.2 The Hyperbola and Functions Defined by Radicals

13.3 Nonlinear Systems of Equations

13.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming

Chapter 14: Further Topics in Algebra

14.1 Sequences and Series

14.2 Arithmetic Sequences

14.3 Geometric Sequences

14.4 The Binomial Theorem

14.5 Mathematical Induction

14.6 Counting Theory

14.7 Basics of Probability

Appendixes

A: An Introduction to Calculators

B: Properties of Matrices

C: Matrix Inverses

D: Determinants and Cramer's Rule

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Algebra for College Students (Mathematics)

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Algebra for College Students

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Algebra for College Students, 6/E