Pearson - College Algebra and Trigonometry, 4/E - Margaret L. Lial, John Hornsby & David I. Schneider

In this section:

Description

Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.

Features

Chapter Openers These 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 The step-by-step solutions now incorporate additional side comments and more section references to previously covered material. New pointers in the examples provide students with on-the-spot reminders and warnings about common pitfalls.
Now Try Exercises To actively engage students in the learning process, each example concludes 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.
Real-Life Applications We have incorporated many new applied examples and exercises from fields such as business, pop culture, sports, life sciences, and environmental studies that show the relevance of algebra to daily life.
Function Boxes Beginning in Chapter 2, functions are a unifying theme throughout the remainder of the text. To that end, special 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.
Use of Technology As in the previous edition, we have integrated the use of graphing calculators where appropriate, although graphing technology is not a central feature of this text. We continue to stress that graphing calculators are an aid to understanding and that students must master the underlying mathematical concepts first. We have included graphing calculator solutions for selected examples and continue to mark all graphing calculator notes and exercises that use graphing calculators with an icon for easy identification and added flexibility. This graphing calculator material is optional and can be omitted without loss of continuity.
Cautions and Notes We often give students warnings of common errors and emphasize important ideas in Caution and Note comments that appear throughout the exposition.
Looking Ahead to Calculus These margin notes offer glimpses of how the algebraic topics currently being studied are used in calculus.
ConnectionsThis boxed feature provides connections to the real world or to other mathematical concepts, historical backgrounds, and thought-provoking questions for writing, class discussion, or group work.
Exercise Sets We have given the exercise sets special attention in this revision. Approximately 25% of the exercises are new. As a result, the text includes more problems than ever to provide students with ample opportunities to practice, apply, connect, and extend concepts and skills. We have included writing exercises and optional graphing calculator problems as well as multiple-choice, matching, true/false, and completion problems. Exercises marked Concept Check focus on mathematical thinking and conceptual understanding. By request, new Connecting Graphs with Equations problems provide students with opportunities to write equations for given graphs.
Relating Concepts Exercises Appearing in selected exercise sets, these sets of problems 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.
Solutions to Selected Exercises Exercise numbers enclosed in a blue circle indicate that a complete solution for the problem is included at the back of the text. These solutions are given for selected exercises that extend the skills and concepts presented in the section examples. There are 3 to 5 per section.
Quizzes To allow students to periodically check their understanding of the material covered, at least one quiz now appears in each chapter, where appropriate.
Summary Exercises These sets of in-chapter exercises provide students with the all-important mixed review problems they need to synthesize concepts and select appropriate solution methods.
Chapter Reviews Each chapter ends with a more extensive Summary, featuring a section-by-section list of Key Terms, New Symbols, and a Quick Review of important Concepts, presented alongside corresponding Examples. A comprehensive set of Review Exercises and a Chapter Test are also provided.
Quantitative Reasoning These end-of-chapter problems enable students to apply algebraic concepts to real-life situations, such as financial planning for retirement or determining the value of a college education.
Glossary As an additional student study aid, a comprehensive glossary of key terms from throughout the text is provided at the back of the book.

New To This Edition

Content Changes

You will find many places in the text where we have polished individual presentations and added examples, exercises, and applications based on reviewer feedback. Some of the changes you may notice include the following:

There are close to 1900 new and updated exercises, many of which are devoted to skill development, as well as new Concept Check, Connecting Graphs with Equations, and Quiz problems.
Real-world data in approximately 240 applications 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 new Section R.2.
Work rate problems have been moved from Section 1.2 to Section 1.6.
Former Section 2.1 has been expanded and divided into two sections, so that now, new Section 2.2 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.
Cofunctions are now introduced in Section 5.3.
Former Section 6.3 has been expanded and divided into two sections. Section 6.3 covers graphs of the sine and cosine functions, while Section 6.4 presents translations of these graphs.
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 functions (Section 4.5)

    Coverage of complementary, supplementary, and quadrantal angles (Section 5.1)

    Presentation of radian measure and the unit circle (Sections 6.1 and 6.2)

    Connecting graphs of circular functions with equations (Section 6.5)

    Graphs of inverse circular functions (Section 7.5)

New Features

New pointers in the examples provide students with on-the-spot reminders and warnings about common pitfalls.
New 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.
Appearing at least one time per chapter, new Quizzes 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

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. Trigonometric Functions.

Angles.

Trigonometric Functions.

Evaluating Trigonometric Functions.

Solving Right Triangles.

6. The Circular Functions and Their Graphs.

Radian Measure.

The Unit Circle and Circular Functions.

Graphs of the Sine and Cosine Functions.

Translations of the Graphs of the Sine and Cosine Functions.

Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions.

Harmonic Motion.

7. Trigonometric Identities and Equations.

Fundamental Identities.

Verifying Trigonometric Identities.

Sum and Difference Identities.

Double-Angle and Half-Angle Identities.

Inverse Circular Functions.

Trigonometric Equations.

Equations Involving Inverse Trigonometric Functions.

8. Applications of Trigonometry.

The Law of Sines.

The Law of Cosines.

Vectors, Operations, and the Dot Product.

Applications of Vectors.

Trigonometric (Polar) Form of Complex Numbers; Products and Quotients.

DeMoivre's Theorem; Powers and Roots of Complex Numbers.

Polar Equations and Graphs.

Parametric Equations, Graphs, and Applications.

9. 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.

10. Analytic Geometry.

Parabolas.

Ellipses.

Hyperbolas.

Summary of the Conic Sections.

11. Further Topics in Algebra.

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

The Binomial Theorem.

Mathematical Induction.

Counting Theory.

Basics of Probability.

Appendix A. Polar Form of Conic Sections.
Appendix B. Rotation of Axes.
Appendix C: Geometry Formulas.
Glossary.
Solutions to Selected Exercises.
Answers to Selected Exercises.
Index of Applications.
Index.

Courses

Algebra and Trigonometry (Mathematics)

Previous Edition(s)

College Algebra and Trigonometry, 3/E
Lial, Hornsby & Schneider
©2005 | Pearson | Cloth; 1176 pp | Out of Print
ISBN-10: 0321227638 | ISBN-13: 9780321227638
Brief Description |
Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.
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Next Edition(s)

College Algebra and Trigonometry, 5/E
Lial, Hornsby, Schneider & Daniels
©2013 | Pearson | Cloth; 1200 pp | Estimated Availability : 02/15/2012
ISBN-10: 0321671783 | ISBN-13: 9780321671783
Suggested retail price: $187.33 Net price: $140.50 (What's this?)Brief Description |

College Algebra and Trigonometry, Fifth Edition, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Fifth Edition, the authors recognize that students are learning in new ways, and that the classroom is evolving. The Lial team is now offering a new suite of resources to support today’s instructors and students.

New co-author Callie Daniels has experience in all classroom types including traditional, hybrid and online courses, which has driven the new MyMathLab features. For example, MyNotes provide structure for student note-taking, and Interactive Chapter Summaries allow students to quiz themselves in interactive examples on key vocabulary, symbols and concepts. Daniels’ experience, coupled with the long-time successful approach of the Lial series, has helped to more tightly integrate the text with online learning than ever before.
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In this section:

Author Bios

Author Bios

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.

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.

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 at College Park. His hobbies include travel, dancing, bicycling, and hiking.

Websites and Online Courses

In this section:

Websites and Online Courses

MyMathLabPlus for College Algebra and Trigonometry, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Website; 1264 pp | Live
ISBN-10: 0321653254 | ISBN-13: 9780321653253
Online purchase price: $92.00More Info

In this section:

Instructor Resources

Downloadable Instructor Resources
Other Instructor Resources

Student Resources

Websites and online courses
Other student resources

eLearning & Assessment

Websites and Online Courses

Course & Discipline Resources

For Algebra and Trigonometry
For the Mathematics Discipline

Active Learning Questions (Download only) for College Algebra and Trigonometry/Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 032153039X | ISBN-13: 9780321530394

Insider's Guide for College Algebra and Trigonometry/Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Paper; 134 pp | Instock
ISBN-10: 0321529332 | ISBN-13: 9780321529336

Instructor's Solutions Manual for College Algebra and Trigonometry/Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | On-line Supplement; 1200 pp | Live
ISBN-10: 0321529340 | ISBN-13: 9780321529343

Instructor's Testing Manual for College Algebra and Trigonometry/Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Paper; 600 pp | Instock
ISBN-10: 0321529324 | ISBN-13: 9780321529329

PowerPoint Slides (Download only) for College Algebra and Trigonometry/Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 032152926X | ISBN-13: 9780321529268

TestGen® Computerized Test Bank for College Algebra and Trigonometry and Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 0321529243 | ISBN-13: 9780321529244

Websites and online courses

Annotated Instructor's Edition for College Algebra and Trigonometry, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Cloth; 1200 pp | Instock
ISBN-10: 0321501497 | ISBN-13: 9780321501493
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MathXL -- Instant Access -- for College Algebra and Trigonometry, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 0321529375 | ISBN-13: 9780321529374
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Other student resources

Additional Skill and Drill Manual for College Algebra and Trigonometry and Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Paper; 144 pp | Instock
ISBN-10: 0321529286 | ISBN-13: 9780321529282
Net price: $27.50 (What's this?)More Info

Graphing Calculator Manual for College Algebra and Trigonometry/Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Paper; 144 pp | Instock
ISBN-10: 0321529251 | ISBN-13: 9780321529251
Net price: $18.50 (What's this?)More Info

MathXL Tutorials on CD for College Algebra and Trigonometry and Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321529278 | ISBN-13: 9780321529275
Net price: $20.00 (What's this?)More Info

Student Solutions Manual for College Algebra and Trigonometry/Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Paper; 640 pp | Instock
ISBN-10: 0321529235 | ISBN-13: 9780321529237
Net price: $27.50 (What's this?)More Info

Video Lectures on CD for College Algebra and Trigonometry and Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321529294 | ISBN-13: 9780321529299
Net price: $25.00 (What's this?)More Info

For Algebra and Trigonometry

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
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Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
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Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
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Websites and Online Courses

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College Algebra and Trigonometry plus MyMathLab Student Access Kit, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Cloth Package | Instock
ISBN-10: 0321567579 | ISBN-13: 9780321567574
Net price: $148.00 (What's this?)Brief Description |

Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.
More Info
College Algebra and Trigonometry, Books a la Carte Edition, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Unbound (Saleable) | Instock
ISBN-10: 0321655842 | ISBN-13: 9780321655844
Net price: $84.30 (What's this?)More Info
College Algebra and Trigonometry, Books a la Carte Plus MyMathLab/MyStatLab Student Access Kit, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Kit/Package/ShrinkWrap | Instock
ISBN-10: 0321680200 | ISBN-13: 9780321680204
Net price: $91.80 (What's this?)More Info
College Algebra and Trigonometry, CourseSmart eTextbook, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Electronic Book; 1264 pp | Available
ISBN-10: 0321546806 | ISBN-13: 9780321546807
Online purchase price: $74.99
Brief Description |
CourseSmart eTextbooks are a creative digital solution that offers the freedom and convenience of online, offline, and mobile access using a single platform. With a CourseSmart eTextbook, students can:
search the text
make notes online
print out reading assignments that incorporate lecture notes
bookmark important passages for later review
save money. As an alternative to purchasing the print textbook, students can subscribe to the same content online for a significant discount off the suggested list price of the print text.
For more information, or to subscribe to the CourseSmart eTextbook, visit www.coursesmart.com (for customers in U.S. and Canada) or www.coursesmart.co.uk (for customers in Europe, Middle East, and Africa).
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Collgege Algebra and Trigonometry, MyMathLab Edition, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Spiral Bound; 672 pp | Instock
ISBN-10: 0321574931 | ISBN-13: 9780321574930
Net price: $49.00 (What's this?)More Info

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