Pearson - Essentials of College Algebra - Margaret L. Lial, John Hornsby & David I. Schneider

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Essentials of College Algebra
Margaret L. Lial, American River College
John Hornsby, University of New Orleans
David I. Schneider, University of Maryland

ISBN-10: 0321385233
ISBN-13: 9780321385239

Publisher: Pearson
Copyright: 2007
Format: Paper; 720 pp
Published: 01/05/2006
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Description

This brief, paperback version of the Ninth Edition of College Algebra by Lial, Hornsby, and Schneider has been specifically designed to provide a more compact and less expensive alternative to traditional textbooks; Essentials of College Algebra better meets the needs of colleges whose College Algebra courses do not include the more advanced topics covered in the longer text. Simply put, Essentials of College Algebra gives students a solid foundation in the basic functions of college algebra and their graphs, starting with a strong review of intermediate algebra concepts up front and ending with an introduction to systems of linear equations, sequences, and series.

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 an open design, current figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids.

Features

Real-Life Applications The authors are always on the lookout for interesting data to use in real-life applications. As a result, they have incorporated many applied examples and exercises from fields such as business, pop culture, sports, life sciences, and environmental studies that show the relevance of algebra in 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.
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.
Examples Step-by-step solutions to examples are easily identified using a Solution head. The authors have carefully polished all solutions and incorporated 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.
Cautions and Notes The authors 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.
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. By working these exercises, students are able to immediately apply and reinforce the concepts and skills presented in the examples.
Exercise Sets The authors have taken special care to respond to the suggestions of reviewers and have included many exercises based on their feedback. As a result, the text includes many problems that provide students with ample opportunities to practice, apply, connect, and extend concepts and skills. They have included writing exercises and optional graphing calculator problems as well as multiple-choice, matching, true/false, and completion problems. Concept Check problems focus on mathematical thinking and conceptual understanding.
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 approximately 3 to 5 per section.
Relating Concepts Exercises Appearing in selected exercise sets, these sets of problems help students tie topics together 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.
Summary Exercises These sets of in-chapter exercises, included in most chapters, 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 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 Excercises and a Chapter Test are also provided.
Quantitative Reasoning 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 and 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.
Use of Technology The authors have integrated the use of graphing calculators where appropriate, although graphing technology is not a central feature of this text. They continue to stress that graphing calculators are an aid to understanding and that students must master the underlying mathematical concepts first. They have included graphing calculator solutions for selected examples, and 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.

Table of Contents

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. Other Topics in Algebra

Systems of Linear Equations.

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

Courses

College Algebra (Mathematics)

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Author Bios

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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PowerPoint Slides (Download only) for College Algebra, 9/E
Lial, Hornsby & Schneider
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Active Learning Questions for Essentials of College Algebra
Lial, Hornsby & Schneider
©2007 | Pearson | On-line Supplement | Live
ISBN-10: 0321437896 | ISBN-13: 9780321437891

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MathXL -- Instant Access -- for Essentials of College Algebra
Lial, Hornsby & Schneider
©2007 | Pearson | On-line Supplement | Live
ISBN-10: 0321385888 | ISBN-13: 9780321385888
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Algebra Review Study Card, 2/E
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Allied Health Study Card, 2/E
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Concept Videos: Algebra
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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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Essentials of College Algebra