Addison-Wesley / Prentice Hall

Mathematics



Beginning and Intermediate Algebra, 3/E
Margaret L. Lial, American River College
John Hornsby, University of New Orleans
Terry McGinnis

ISBN-10: 0321127153
ISBN-13: 9780321127150

Publisher: Addison-Wesley
Copyright: 2004
Format: Cloth; 1152 pp
Status: Out of Print

Suggested retail price: $149.33
This item is out of print and is no longer available for purchase.



The Lial series has helped thousands of students succeed in developmental mathematics through its friendly writing style, numerous realistic examples, extensive problem sets, and complete supplements package. In keeping with its proven track record, this revision includes a new open design, more exercises and applications, and additional features to help both students and instructors succeed.

  • Learning Objectives Each section opens with an application and clearly stated, numbered, learning objectives. These learning objectives are reinforced throughout the section by re-listing the objective where appropriate so that students always know exactly what is being covered.
  • Classroom Examples and Teaching Tips The Annotated Instructor's Edition provides answers to all text exercises and Group Activities in color in the margin or next to the corresponding exercises. In addition, Classroom Examples and Teaching Tips are also included to assist instructors in coming up with examples to use in class that are different from what students have in their textbooks, and offer guidance on presenting the material at hand.
  • Notes Important ideas are emphasized in Notes boxes that appear throughout the text. Calling them out stresses their importance to students.
  • Connections Connections boxes provide connections to the real world or to other mathematical concepts, historical background, and thought-provoking questions for writing or class discussion.
  • Problem Solving 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.
  • Cautions Students are warned of common errors through the use of Cautions that are found throughout the text where appropriate.
  • Technology Insights Technology Insights exercises are found in selected exercise sets throughout the text. These exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (graphing calculator NOT required to complete these exercises).
  • Ample and Varied Exercise Sets Algebra students require a large number and variety of practice exercises to master the material they have just learned. This text contains thousands of exercises, including review exercises, plus numerous conceptual and writing exercises, journal exercises, and challenging exercises that go beyond the examples. Multiple-choice, matching, true/false, and completion exercises help to provide variety. Exercises suitable for calculator use are marked with a calculator icon.
  • Writing Exercises Writing exercises abound in the Lial series through Connections and also in the exercise sets. Some writing exercises require only short written answers, and others require lengthier journal type exercises that ask students to fully explain terminology, procedures, and methods, document their understanding using examples, or make connections between topics.
  • Relating Concepts Found at the end of selected exercise sets, these exercises tie together topics and highlight the relationships among various concepts and skills. For example, they may show how algebra and geometry are related, or how a graph of a linear equation in two variables is related to the solution of the corresponding linear equation in one variable. These sets of exercises make great collaborative activities for small groups of students.
  • Group Activities Appearing at the end of each chapter, these activities allow students to work collaboratively to solve a problem related to the chapter material.
  • Ample Opportunity for Review One of the most admired features of Lial textbooks is the extensive and well-thought-out end-of-chapter material. At the end of each chapter, students will find Key Terms and Symbols that are keyed back to the appropriate section for easy reference and study, and Test Your Word Power to help them understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in multiple-choice format. Quick Review sections give students not only the main concepts from the chapter (referenced back to the appropriate section), but also an adjacent example of each concept. Review Exercises are keyed to the appropriate sections so that students can refer to examples of that type of problems if they need help. Mixed Review Exercises require students to solve problems without the help of section references. A Chapter Test helps students practice for the real thing, and Cumulative Review Exercises gather various types of exercises from preceding chapters to help students remember and retain what they are learning throughout the course.

  • At user request, the section on solving linear inequalities from Chapter 3 of the second edition has been absorbed into Chapter 2 (Linear Equations and Inequalities in One Variable) in this third edition. The former Chapter 3 consisted of only three sections, the last two of which are typically intermediate topics (Set Operations and Compound Inequalities, and Absolute Value Equations and Inequalities.) Those two sections are now part of Chapter 9.
  • Chapter 3 (Linear Equations in Two Variables) now includes a section on equations of a line and includes more material on reading everyday newspaper/magazine-type graphs.
  • Chapter 7 (Equations of Lines: Functions) now includes two review sections covering graphing linear equations. This chapter now also includes variation, which was previously covered in various places and in an Appendix in the second edition.
  • Chapter 10 (Roots, Radicals, and Root Functions) is more challenging at the request of reviewers. This chapter now includes graphs of functions defined by radical expressions and complex numbers.
  • New Appendices: An Introduction to Calculators (formerly at the front of the text), Mean/Median/Mode (new to this edition), and Determinants and Cramer's Rule (formerly in Chapter 9).
  • Adjunct Support Center The Adjunct Support Center offers suggested syllabi, helpful tips on using the textbook support package, assistance with textbook content, and advice on classroom strategies from qualified mathematics instructors with over 50 years of combined teaching experience.
  • Now Try Exercises To actively engage students in the learning process, each example now concludes with a reference to one or more parallel exercises from the corresponding exercise set so that students are able to immediately apply and reinforce the concepts and skills presented in the examples.
  • Summary Exercises Based on user feedback, we have more than doubled the number of in-chapter summary exercises. These special exercise sets provide students with the all-important mixed review problems they need to master topics. Summaries of solution methods or additional examples are often included. Topics that appear in these Summary Exercises include Rules for Exponents, Solving Systems of Linear Equations, and Operations with Radicals.
  • Glossary By popular demand, a comprehensive glossary of key terms from throughout the text is included at the back of the book.
  • New, Real-Life Applications Many new or updated examples and exercises can be found throughout the text that focus on real-life applications of mathematics. These applied problems provide a modern flavor that will appeal to and motivate students.
  • New Figures and Photos Today's students are more visually oriented than ever. Thus, the authors have made a concerted effort to add mathematical figures, diagrams, tables, and graphs whenever possible. Many of the graphs use a style similar to that seen by students in today's print and electronic media. Photos have been incorporated to enhance applications in examples and exercises.

(Each Chapter ends with a Group Activity, Summary, Review Exercises, a Chapter Test and, with the exception of Ch. 1, a Cumulative Review)

List of Applications.


Preface.


1. The Real Number System.

Fractions.

Exponents, Order of Operations, and Inequality.

Variables, Expressions, and Equations.

Real Numbers and the Number Line.

Adding and Subtracting Real Numbers.

Multiplying and Dividing Real Numbers.

Summary Exercises on Operations with Real Numbers.

Properties of Real Numbers.

Simplifying Expressions.



2. Linear Equations and Inequalities in One Variable; Applications.

The Addition Property of Equality.

The Multiplication Property of Equality.

More on Solving Linear Equations.

Summary Exercises on Solving Linear Equations.

An Introduction to Applications of Linear Equations.

Formulas and Applications from Geometry.

Ratios and Proportions.

More about Problem Solving.

Solving Linear Inequalities.



3. Linear Equations in Two Variables.

Reading Graphs; Linear Equations in Two Variables.

Graphing Linear Equations in Two Variables.

The Slope of a Line.

Equations of a Line.



4. Exponents and Polynomials.

The Product Rule and Power Rules for Exponents.

Integer Exponents and the Quotient Rule.

Summary Exercises on the Rules for Exponents.

An Application of Exponents: Scientific Notation.

Adding and Subtracting Polynomials; Graphing Simple Polynomials.

Multiplying Polynomials.

Special Products.

Dividing Polynomials.



5. Factoring and Applications.

The Greatest Common Factor; Factoring by Grouping.

Factoring Trinomials.

More on Factoring Trinomials.

Special Factoring Rules.

Summary Exercises on Factoring.

Solving Quadratic Equations by Factoring.

Applications of Quadratic Equations.



6. Rational Expressions and Applications.

The Fundamental Property of Rational Expressions.

Multiplying and Dividing Rational Expressions.

Least Common Denominators.

Adding and Subtracting Rational Expressions.

Complex Fractions.

Solving Equations with Rational Expressions.

Summary Exercises on Operations and Equations with Rational Expressions.

Applications of Rational Expressions.



7. Equations of Lines; Functions.

Review of Graphs and Slopes of Lines.

Review of Equations of Lines; Linear Models.

Functions.

Variation.



8. Systems of Linear Equations.

Solving Systems of Linear Equations by Graphing.

Solving Systems of Linear Equations by Substitution.

Solving Systems of Linear Equations by Elimination.

Summary Exercises on Solving Systems of Linear Equations.

Systems of Linear Equations in Three Variables.

Applications of Systems of Linear Equations.

Solving Systems of Linear Equations by Matrix Methods.



9. Inequalities and Absolute Value.

Set Operations and Compound Inequalities.

Absolute Value Equations and Inequalities.

Linear Inequalities in Two Variables.



10. Roots, Radicals, and Root Functions.

Radical Expressions and Graphs.

Rational Exponents.

Simplifying Radical Expressions.

Adding and Subtracting Radical Expressions.

Multiplying and Dividing Radical Expressions.

Summary Exercises on Operations with Radicals.

Solving Equations with Radicals.

Complex Numbers.



11. Quadratic Equations, Inequalities, and Functions.

Solving Quadratic Equations by the Square Root Property.

Solving Quadratic Equations by Completing the Square.

Solving Quadratic Equations by the Quadratic Formula.

Equations Quadratic in Form.

Summary Exercises on Solving Quadratic Equations.

Formulas and Further Applications.

Graphs of Quadratic Functions.

More about Parabolas; Applications.

Quadratic and Rational Inequalities.



12. Inverse, Exponential, and Logarithmic Functions.

Inverse Functions.

Exponential Functions.

Logarithmic Functions.

Properties of Logarithms.

Common and Natural Logarithms.

Exponential and Logarithmic Equations; Further Applications.



13. Nonlinear Functions, Conic Sections, and Nonlinear Systems.

Additional Graphs of Functions; Operations and Composition.

The Circle and the Ellipse.

The Hyperbola and Functions Defined by Radicals.

Nonlinear Systems of Equations.

Second-Degree Inequalities and Systems of Inequalities.



14. Sequences and Series.

Sequences and Series.

Arithmetic Sequences.

Geometric Sequences.

The Binomial Theorem.



Appendices.

Appendix A: An Introduction to Calculators.

Appendix B: Review of Decimals and Percents.

Appendix C: Sets.

Appendix D: Mean, Median, and Mode.

Appendix E: The Metric System and Conversions.

Appendix F: Review of Exponents, Polynomials, and Factoring.

Appendix G: Synthetic Division.

Appendix H: Determinants and Cramer's Rule.



Answers to Selected Exercises.


Glossary.


Index.


Videotape and CD Index.

  • 0321442334Beginning and Intermediate Algebra, 4/E
    Lial, Hornsby & McGinnis
    © 2008 | Addison-Wesley | Cloth; 1176 pages | Instock
    ISBN-10: 0321442334 | ISBN-13: 9780321442338
    Brief Description | Buy from myPearsonStore

Marge Lial Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.


John Hornsby When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and ten years of writing mathematics textbooks, both of his goals have been realized. His love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum.

John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.


Terry McGinnis - A native Midwesterner, Terry received her Bachelor�s of Science in Elementary Education (Mathematics concentration) from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 15 years, working with a variety of authors on textbooks in developmental and precalculus mathematics. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for the past ten years, Terry most recently joined Margaret Lial and John Hornsby as co-author of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra, all published by Addison-Wesley. When not working, Terry enjoys spinning at a local health club and walking. She is a devoted parent of two sons, Andrew and Tyler.

View a Sample Chapter PDF:

For Beginning & Intermediate Algebra (Combined Books)


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    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Paper; 272 pages | Instock
    ISBN-10: 0321536304 | ISBN-13: 9780321536303


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