Essentials of College Algebra, Global Edition, 11th edition

Published by Pearson (September 12, 2014) © 2015

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • David I. Schneider University of Maryland
  • Callie J. Daniels St. Charles Community College
£61.99

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Essentials of College Algebra, Eleventh Edition, by Lial, Hornsby, Schneider, and Daniels, develops both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Eleventh Edition, the authors have adapted and updated the program for the evolving student, New co-author Callie Daniels brings her experience with traditional, hybrid, and online courses, to create a suite of resources to support today’s learners.

This program provides a better teaching and learning experience–for you and your students. Here’s how:

  • Support for learning concepts: a systematic approach is used to present each topic, and is designed to actively engage students in the learning process. The variety of exercise types promotes understanding of the concepts and reduces the opportunity for rote memorization.
  • Support for review and test preparation: ample opportunities for review are interspersed throughout and at the end of chapters.

MyMathLab® is not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

MyMathLab is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.

This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

Support for learning concepts: a systematic approach is used to present each topic, and is designed to actively engage students in the learning process. As a result, students develop both the conceptual understanding and the analytical skills necessary for success. The variety of exercise types promotes understanding of the concepts and reduces the opportunity for rote memorization.

  • Pointers in the examples provide on-the-spot reminders and warnings about common pitfalls. Examples now offer additional side comments where appropriate in the step-by-step solutions, and there are more section references to previously covered material.
  • Now Try exercises conclude every example with a reference to one or more parallel, odd-numbered exercises from the corresponding exercise set. Students are able to immediately apply and reinforce the concepts and skills presented in the examples, while actively engaged in the learning process.
  • 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.
    • NEW! Animations are available within MyMathLab.
  • 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.
  • Looking Ahead to Calculus offers 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 review and test preparation: ample opportunities for review are interspersed within chapters and found at the end of chapters.

  • Quizzes appear periodically throughout the chapter for students to check their progress. Answers appear in the student answer section at the back of the text. NEW! These are now assignable in MyMathLab.
  • Summary Exercises offer mixed review, requiring students to decide which methods covered in the chapter should apply to a particular problem. NEW! These are now assignable in MyMathLab.
  • Chapter Reviews and Test Prep conclude every chapter with 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

New and Updated Features

  • Nearly 1,000 of the exercises are new or modified in this edition:
    • Quizzes allow students to periodically check their understanding of the material covered. At least one quiz now appears in each chapter, where appropriate.
    • Connecting Graphs with Equations problems, by request, provide students with opportunities to write equations for given graphs.
    • Concept Check exercises focus on mathematical thinking and conceptual understanding.
    • 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 exercise numbers that are marked with a green square. There are three to five exercises per section and are chosen because they extend the skills and concepts presented in the examples.
    • Summary Exercises are mixed review problems that challenge students to reconcile recent topics learned, synthesize concepts and select appropriate solution methods.
    • Standard exercise types include writing exercises, optional graphing calculator exercises, multiple-choice, matching, true/false, and completion problems.

Content Updates

  • In Chapter 1, the authors have re-written the introduction to the set of complex numbers and have included a new diagram illustrating the relationships among its subsets. They have also expanded the discussion of solving absolute value equations and inequalities.
  • In Chapter 2, the authors have prepared new art for shrinking and stretching graphs, added new exercises on translations, and expanded the exercises involving the difference quotient to include additional greater degree functions.
  • Chapter 3 has received a particularly extensive revision. The opening discussion of polynomial functions has been updated by providing a table of examples of polynomial functions (constant, linear, quadratic, cubic, quartic) and have identified the degree and leading coefficient. There is an increased emphasis on including all possibilities for positive, negative, and non-real complex zeros in a table format, with graphical representations used to illustrate them. There is now a new summary exercise set on solving both equations and inequalities (linear, quadratic, polynomial, rational, and miscellaneous).
  • Chapter 4 includes more work with translations of exponential and logarithmic functions, and has additional examples and exercises on solving equations involving these functions.
  • Chapter 5 includes the determinant theorems within the exposition, and contains new examples and exercises showing how they are used.

MyMathLab® is not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

Updates to the MyMathLab Course

  • Getting Ready skill review quizzes are assignable throughout the course, testing students on prerequisite knowledge. From these quizzes, each student receives a personalized homework assignment to refresh forgotten concepts.
  • The video program is designed to help students study any time, anywhere.
    • Quick Reviews cover key definitions and procedures fr

R. Review of Basic Concepts.

R.1 Sets

R.2 Real Numbers and Their Properties

R.3 Polynomials

R.4 Factoring Polynomials

R.5 Rational Expressions

R.6 Rational Exponents

R.7 Radical Expressions

 

1. Equations and Inequalities

1.1 Linear Equations

1.2 Applications and Modeling with Linear Equations

1.3 Complex Numbers

1.4 Quadratic Equations

1.5 Applications and Modeling with Quadratic Equations

1.6 Other Types of Equations and Applications

1.7 Inequalities

1.8 Absolute Value Equations and Inequalities

 

2. Graphs and Functions

2.1 Rectangular Coordinates and Graphs

2.2 Circles

2.3 Functions

2.4 Linear Functions

2.5 Equations of Lines and Linear Models

2.6 Graphs of Basic Functions

2.7 Graphing Techniques

2.8 Function Operations and Composition

 

3. Polynomial and Rational Functions.

3.1 Quadratic Functions and Models

3.2 Synthetic Division

3.3 Zeros of Polynomial Functions

3.4 Polynomial Functions: Graphs, Applications, and Models

3.5 Rational Functions: Graphs, Applications, and Models

3.6 Variation

 

4. Inverse, Exponential, and Logarithmic Functions.

4.1 Inverse Functions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Evaluating Logarithms and the Change-of-Base Theorem

4.5 Exponential and Logarithmic Equations

4.6 Applications and Models of Exponential Growth and Decay

 

5. Systems and Matrices

5.1 Systems of Linear Equations

5.2 Matrix Solution of Linear Systems

5.3 Determinant Solution of Linear Systems

5.4 Partial Fractions

5.5 Nonlinear Systems of Equations

5.6 Systems of Inequalities and Linear Programming

5.7 Properties of Matrices

5.8 Matrix Inverses

 

Glossary

Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications

Index



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