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Essentials of College Algebra, 10/E
Margaret L. LialAmerican River College
John HornsbyUniversity of New Orleans
David I. SchneiderUniversity of Maryland

ISBN-10: 032166499X
ISBN-13:  9780321664990

Publisher:  Pearson
Copyright:  2011
Format:  Cloth; 720 pp
Published:  01/03/2010
Status: Instock


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Description

Essentials of College Algebra by Lial, Hornsby, and Schneider, gives students a solid foundation in the basic functions of college algebra and their graphs, starting with a strong review of intermediate algebra concepts and ending with an introduction to systems and matrices. This brief version of the College Algebra, Tenth Edition has been specifically designed to provide a more compact and less expensive text for courses that do not include the more advanced topics covered in the longer text.

 

Focused on helping students develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, the authors present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. The book addresses the diverse needs of today's students through a clear design, current figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of available supplements and study aids.


Features

Support for Learning Concepts. To help students develop both the conceptual understanding and the analytical skills necessary for success in mathematics, the authors present each mathematical topic using a systematic approach designed to actively engage students in the learning process.

  • Chapter Openers provide a motivating application topic that is tied to the chapter content, plus a list of sections and any quizzes or summary exercises in the chapter.
  • Examples now offer additional side comments where appropriate in the step-by-step solutions, and there are more section references to previously covered material. New pointers in the examples provide on-the-spot reminders and warnings about common pitfalls.
  • Now Try exercises conclude every example with a reference to one or more parallel, odd-numbered exercises from the corresponding exercise set. In this way, students are able to immediately apply and reinforce the concepts and skills presented in the examples, and they are actively engaged in the learning process.
  • Real-life applications in the examples and exercises draw from fields such as business, pop culture, sports, life sciences, and environmental studies to show the relevance of algebra to daily life.
  • Functions are introduced in Chapter 2 and are a unifying theme throughout the text.
    • Function boxes offer a comprehensive, visual introduction to each class of function and also serve as an excellent resource for student reference and review throughout the course. Each function box includes a table of values alongside traditional and calculator graphs, as well as the domain, range, and other specific information about the function.
  • Graphing calculator coverage is optional and may be omitted without loss of continuity. The authors stress that these devices can be useful as an aid to understanding, but that students must master the underlying mathematical concepts first.
    • Graphing calculator solutions are included for selected examples as appropriate.
    • Graphing calculator notes and exercises are marked with an icon for easy identification and flexibility.
  • Cautions and Notes boxes throughout the text give students warnings of common errors and emphasize important ideas.
  • Looking Ahead to Calculus offer glimpses of how the algebraic topics currently being studied are used in calculus. These notes can be found in the margins of the text in key places.
  • Connections boxes provide connections to the real world or to other mathematical concepts, historical backgrounds, and thought-provoking questions for writing, class discussion, or group work.

 

Support for Practicing and Reviewing Concepts. Extensive exercise sets, quizzes, and review material allow students to develop their problem-solving abilities and their understanding of the concepts.

  • Exercise Sets provide students with ample opportunities to practice, apply, connect, and extend concepts and skills. Approximately 25% of the exercises are new in this edition.
    • Standard exercise types include writing exercises, optional graphing calculator exercises, multiple-choice, matching, true/false, and completion problems.
    • Concept Check exercises focus on mathematical thinking and conceptual understanding.
    • NEW. Connecting Graphs with Equations problems, by request, provide students with opportunities to write equations for given graphs.
    • Relating Concepts Exercises help students tie together topics and develop problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students and are available in selected exercise sets.
    • Full solutions to selected exercises are included at the back of the text for exercises that are marked with a blue circle. There are three to five exercises per section and they are chosen because they extend the skills and concepts presented in the examples.
    • Summary Exercises in the chapter provide students with the all-important mixed review problems they need to synthesize concepts and select appropriate solution methods.
    • Quantitative Reasoning problems at the end of every chapter enable students to apply algebraic concepts to real-life situations, such as financial planning for retirement or determining the value of a college education.
  • NEW! Quizzes allow students to periodically check their understanding of the material covered. At least one quiz now appears in each chapter, where appropriate.
  • Chapter Reviews conclude every chapter with all of the following features:
    • An extensive Summary, featuring a section-by-section list of Key Terms and New Symbols
    • A Quick Review of important concepts, presented alongside corresponding Examples
    • A comprehensive set of Review Exercises
    • A Chapter Test covering all skills and concepts from the chapter
  • A glossary of key terms from throughout the text is provided at the back of the book as an additional student study aid.

 

 

 

 

 


New To This Edition

New Features

  • Pointers in the examples provide students with on-the-spot reminders and warnings about common pitfalls.
  • Connecting Graphs with Equations problems provide students with opportunities to write equations for given graphs. In total, approximately 25% of all the exercises are new.
  • Quizzes, appearing at least once per chapter, allow students to periodically check their understanding of the material covered.
  • The expanded Annotated Instructor’s Edition now includes an extensive set of Classroom Examples, in addition to helpful Teaching Tips and easy-to-access answers for almost all text exercises.

 

Content Updates

  • There are over 1000 new or updated exercises, many of which are devoted to skill development, as well as new Concept Check, Connecting Equations with Graphs, and Quiz problems.
  • Real-world data in hundreds of applications are new or have been updated.
  • Sets are now covered in Section R.1. Former Sections R.1 and R.2 on real numbers and their properties have been streamlined and combined into a new Section R.2.
  • Work rate problems have been move from Section 1.2 to Section 1.6.
  • New Section 2.2 now covers equations of circles and their graphs.
  • A new set of Summary Exercises on Functions: Domains and Defining Equations is included at the end of Chapter 4.
  • In addition, the following topics have been expanded:
    • Using slope-intercept form of the equation of a line (Section 2.5)
    • Discussion of composition of functions (Section 2.8)
    • Graphing rational functions (Section 3.5)
    • Solving exponential and logarithmic equations (Section 4.5)


Table of Contents

R. Review of Basic Concepts

Sets

Real Numbers and Their Properties

Polynomials

Factoring Polynomials

Rational Expressions

Rational Exponents

Radical Expressions



1. Equations and Inequalities

Linear Equations

Applications and Modeling with Linear Equations

Complex Numbers

Quadratic Equations

Applications and Modeling with Quadratic Equations

Other Types of Equations and Applications

Inequalities

Absolute Value Equations and Inequalities



2. Graphs and Functions

Rectangular Coordinates and Graphs

Circles

Functions

Linear Functions

Equations of Lines; Curve Fitting

Graphs of Basic Functions

Graphing Techniques

Function Operations and Composition



3. Polynomial and Rational Functions

Quadratic Functions and Models

Synthetic Division

Zeros of Polynomial Functions

Polynomial Functions: Graphs, Applications, and Models

Rational Functions: Graphs, Applications, and Models

Variation



4. Inverse, Exponential, and Logarithmic Functions

Inverse Functions

Exponential Functions

Logarithmic Functions

Evaluating Logarithms and the Change-of-Base Theorem

Exponential and Logarithmic Equations

Applications and Models of Exponential Growth and Decay



5. Systems and Matrices

Systems of Linear Equations

Matrix Solution of Linear Systems

Determinant Solution of Linear Systems

Partial Fractions

Nonlinear Systems of Equations

Systems of Inequalities and Linear Programming

Properties of Matrices

Matrix Inverses



Glossary
Solutions to Selected Exercises
Answers to Selected Exercises
Index of Applications
Index


Previous Edition(s)

  • Essentials of College Algebra
    Lial, Hornsby & Schneider
    ©2007  |  Pearson  |  Paper; 720 pp  |  Out of Print
    ISBN-10: 0321385233  |  ISBN-13: 9780321385239
    Brief Description  |  More Info

  • Essentials of College Algebra, Alternate Edition
    Lial, Hornsby & Schneider
    ©2008  |  Pearson  |  Cloth; 684 pp  |  Out of Print
    ISBN-10: 0321491858  |  ISBN-13: 9780321491855
    Brief Description  |  More Info



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Author Bios

Marge Lial has always been 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.

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 fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both 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.

 

David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland–College Park. His hobbies include travel, dancing, bicycling, and hiking.

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MathXL -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0321665953  |  ISBN-13: 9780321665959
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MyMathLab with eBook -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321665961  |  ISBN-13: 9780321665966
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MyMathLabPlus for Essentials of College Algebra, 10/E
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©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0558677118  |  ISBN-13: 9780558677114
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Classroom Example PowerPoint Slides (Download only) for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321548671  |  ISBN-13: 9780321548672

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Insider's Guide to Teaching with College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  Paper; 72 pp  |  Instock
ISBN-10: 0321530454  |  ISBN-13: 9780321530455

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Instructor's Solutions Manual for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  Paper; 816 pp  |  Instock
ISBN-10: 0321528883  |  ISBN-13: 9780321528889

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Instructor's Testing Manual for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  Paper; 456 pp  |  Instock
ISBN-10: 0321528891  |  ISBN-13: 9780321528896

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PowerPoint Slides (Download only) for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321528905  |  ISBN-13: 9780321528902

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TestGen® Computerized Test Bank for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321531264  |  ISBN-13: 9780321531261

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Annotated Instructor's Edition for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  Pearson  |  Paper; 672 pp  |  Instock
ISBN-10: 0321664272  |  ISBN-13: 9780321664273
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MathXL -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0321665953  |  ISBN-13: 9780321665959
More Info

MyMathLab with eBook -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321665961  |  ISBN-13: 9780321665966
Take a Tour  |  More Info

MyMathLabPlus for Essentials of College Algebra, 10/E
Lial & Hornsby
©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0558677118  |  ISBN-13: 9780558677114
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MathXL -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0321665953  |  ISBN-13: 9780321665959
More Info

MyMathLab with eBook -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321665961  |  ISBN-13: 9780321665966
More Info

MyMathLabPlus for Essentials of College Algebra, 10/E
Lial & Hornsby
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ISBN-10: 0558677118  |  ISBN-13: 9780558677114
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Additional Skill and Drill Manual for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  Paper; 96 pp  |  Instock
ISBN-10: 0321530489  |  ISBN-13: 9780321530486
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Graphing Calculator Manual for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  Paper; 120 pp  |  Instock
ISBN-10: 0321528875  |  ISBN-13: 9780321528872
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MathXL Tutorials on CD for College Algebra, 10/E
Lial, Hornsby & Schneider
©2009  |  Pearson  |  CD-ROM Only  |  Instock
ISBN-10: 0321530462  |  ISBN-13: 9780321530462
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Student Solutions Manual for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  Pearson  |  Paper; 360 pp  |  Instock
ISBN-10: 0321664213  |  ISBN-13: 9780321664211
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Video Lectures on CD with Optional Captioning for College Algebra, 10/E
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ISBN-10: 0321530470  |  ISBN-13: 9780321530479
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Algebra Review Study Card, 2/E
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ISBN-10: 0321517199  |  ISBN-13: 9780321517197
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
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ISBN-10: 0136492037  |  ISBN-13: 9780136492030
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Addison-Wesley
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ISBN-10: 0321357744  |  ISBN-13: 9780321357748
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ISBN-10: 0321069188  |  ISBN-13: 9780321069184
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Prealgebra Review Workbook
Wheel
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ISBN-10: 0321473329  |  ISBN-13: 9780321473325
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Review of Algebra, A
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ISBN-10: 0201773473  |  ISBN-13: 9780201773477
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Spanish Basic Math Study Card
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ISBN-10: 0321438582  |  ISBN-13: 9780321438584
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TestGen All-in-One 2005 Package
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ISBN-10: 0321334469  |  ISBN-13: 9780321334466
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MathXL -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0321665953  |  ISBN-13: 9780321665959
More Info

MyMathLab with eBook -- Instant Access -- for Essentials of College Algebra, 10/E
Lial, Hornsby & Schneider
©2011  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321665961  |  ISBN-13: 9780321665966
Take a Tour  |  More Info

MyMathLabPlus for Essentials of College Algebra, 10/E
Lial & Hornsby
©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0558677118  |  ISBN-13: 9780558677114
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