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Precalculus, 3/E
Margaret L. Lial, American River College
John Hornsby, University of New Orleans
David I. Schneider, University of Maryland

ISBN-10: 032122762X
ISBN-13: 9780321227621

Publisher: Pearson
Copyright: 2005
Format: Cloth; 1176 pp
Published: 03/16/2004

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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.

Real-Life Applications We are always on the lookout for interesting data to use in real-life applications. As a result, we have updated or 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. Applications that feature mathematical modeling are labeled with a Modeling head. All applications are titled, and a comprehensive Index of Applications is included at the back of the text.

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.

Connections This boxed feature provides connections to the real world or to other mathematical concepts, historical background, and thought-provoking questions for writing, class discussion, or group work.

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.

Examples We have added even more examples in this edition. Step-by-step solutions to examples are now easily identified using a Solution head. We have carefully polished all solutions and incorporated more side comments and explanations, including helpful section references to previously-covered material. Selected examples continue to provide graphing calculator solutions alongside traditional algebraic solutions. The graphing calculator solutions can be easily omitted if desired.

Now try Exercises To actively engage students in the learning process, each example now 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.

Exercise Sets We have taken special care to respond to the suggestions of users and reviewers and have added many new exercises to this edition based on their feedback. 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. Concept Check problems, which focus on mathematical thinking and conceptual understanding, were well received in the previous edition and have been expanded in this edition.

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 new solutions are given for selected exercises that extend the skills and concepts presented in the section examples. There are approximately 3 to 5 per section.

Summary Exercises These new sets of in-chapter exercises in most chapters provide students with the all-important mixed review problems they need to synthesize concepts and select appropriate solution methods.

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.

Chapter Reviews Each Chapter ends with an expanded Summary, featuring a section-by-section list of Key Terms, New Symbols, and a Quick Review of important Concepts, presented alongside corresponding all-new Examples. A comprehensive set of Review Excercises and a Chapter Test are also provided.

Quantitative Reasoning Now appearing at the end of each chapter, these 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. A photo highlights each problem.

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 Annotated Instructor's Edition This special edition of the text provides answers to almost all text exercises in color on the page that the exercise appears. This provides the instructor with immediate access to answers without searching the back of the book.

R. Review of Basic Concepts.

Real Numbers and Their Properties.

Order and Absolute Value.

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.

Inequalities.

Absolute Value Equations and Inequalities.

2. Graphs and Functions.

Graphs of Equations.

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. 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.

Graphs of the Other Circular Functions.

Harmonic Motion.

7. Trigonometric Identities and Equations.

Fundamental Identities.

Verifying Trigonometric Identities.

Sum and Difference Identities.

Double-Angle Identities 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.

Precalculus Mathematics (Mathematics)

Precalculus, 4/E
Lial, Hornsby & Schneider
©2009 | Pearson | Cloth; 1264 pp | Instock
ISBN-10: 0321528840 | ISBN-13: 9780321528841
Net price: $123.00 (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.

Precalculus |
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 � College Park. His hobbies include travel, dancing, bicycling, and hiking.

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©2005 | Pearson | On-line Supplement | Instock
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Instructor's Solutions Manual, 3/E
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©2005 | Pearson | Paper; 1456 pp | Out of Stock
ISBN-10: 0321227662 | ISBN-13: 9780321227669
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