Algebra for College Students / Edition 7

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Overview

Consistent with its approach, interesting applications featuring real world data in the form of ordered pairs, tables, bar and line graphs, and equations have been incorporated throughout the book. The book includes in-depth coverage of "true" college algebra topics. New to this edition and consistent with current teaching practices is the early introduction of graphing lines in a rectangular coordinate system and functions in Chapter 3. This organization provides readers/students with increased exposure to basic graphing and function concepts, an integral part of later mathematics courses, as they study polynomial, rational, and radical expressions in Chapters 4-6. Chapters 8-10 provide comprehensive coverage of additional graphing and function topics.
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Editorial Reviews

Booknews
New edition of an algebra text that presents up-to-date strategies for helping students to succeed. Lial (American River Collete) and Hornsby (U. of New Orleans) introduce functions and graphs early in the third chapter (following a review of the real number system and linear equations and inequalities), thus providing groundwork for the function/graph emphasis throughout. Subsequent chapters introduce graphs of polynomial, rational, and radical functions; expressions and equations; and additional topics such as quadratic functions, translations, symmetry, and inverse, exponential, and logarithmic functions. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780321715401
  • Publisher: Pearson
  • Publication date: 2/2/2011
  • Edition number: 7
  • Pages: 936
  • Sales rank: 574,527
  • Product dimensions: 8.80 (w) x 11.00 (h) x 1.40 (d)

Meet the Author

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 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), and has been an avid 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.

A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.

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Table of Contents

(Each chapter ends with a Group Activity; Chapter Summary including Key Terms, New Symbols, Test Your Word Power and Quick Review; Review Exercises; and Chapter Test. Cumulative Review Exercises appear beginning after Chapter 2.) The industry listed in the parentheses is the industry theme for that chapter.
1. Review of the Real Number System (Economics).

Basic Terms.
Operations on Real Numbers.
Properties of Real Numbers.

2. Linear Equations and Inequalities (Entertainment).
Linear Equations in One Variable.
Formulas.
Applications of Linear Equations.
More Applications of Linear Equations.
Linear Inequalities in One Variable.
Set Operations and Compound Inequalities.
Absolute Value Equations and Inequalities.
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.

3. Graphs, Linear Equations, and Functions (Energy).
The Rectangular Coordinate System.
The Slope of a Line.
Linear Equations in Two Variables.
Linear Inequalities in Two Variables.
Introduction to Functions.
Variation.

4. Exponents and Polynomials (Health Care).
Integer Exponents and Scientific Notation.
Addition and Subtraction of Polynomials.
Polynomial Functions.
Multiplication of Polynomials.
Greatest Common Factors; Factoring by Grouping.
Factoring Trinomials.
Special Factoring.
General Methods of Factoring.
Solving Equations by Factoring.

5. Rational Expressions (Transportation).
Rational Expressions and Functions; Multiplication and Division.
Addition and Subtraction of Rational Expressions.
Complex Fractions.
Division of Polynomials.
Graphs and Equations with Rational Expressions.
Summary Exercises on Operations and Equations with Rational Expressions.
Applications of Rational Expressions.

6. Roots and Radicals (Electronics).
Rational Exponents and Radicals.
Simplifying Radical Expressions.
Addition and Subtraction of Radical Expressions.
Multiplication and Division of Radical Expressions.
Graphs and Equations with Radical Expressions.
Complex Numbers.

7. Quadratic Equations and Inequalities (Astronomy).
Completing the Square.
The Quadratic Formula.
Equations Quadratic in Form.
Formulas and Applications.
Nonlinear Inequalities.

8. Graphing Relations and Functions (Aerospace).
The Algebra of Functions.
Quadratic Functions; Translations.
More about Parabolas; Applications.
Symmetry; Increasing and Decreasing Functions.
The Circle and the Ellipse.
The Hyperbola; Conic Sections.
Piecewise Linear Functions.

9. Polynomial and Rational Functions (Health Care).
Synthetic Division.
Zeros of Polynomial Functions.
Graphs and Applications of Polynomial Functions.
Summary Exercises on Polynomial Functions and Graphs.
Graphs and Applications of Rational Functions.

10. Inverse, Exponential, and Logarithmic Functions (Environment).
Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Properties of Logarithms.
Evaluating Logarithms.
Exponential and Logarithmic Equations; Applications.

11. Systems of Equations and Inequalities (Sports).
Linear Systems of Equations in Two Variables.
Linear Systems of Equations in Three Variables.
Applications of Linear Systems of Equations.
Nonlinear Systems of Equations.
Second-Degree Inequalities, Systems of Inequalities and Linear Programming.

12. Matrices and Determinants (Management).
Matrix Solution of Linear Systems.
Properties of Matrices.
Determinants.
Cramer's Rule.
Matrix Inverses.

13. Further Topics in Algebra (Banking and Finance).
Sequences and Series.
Arithmetic Sequences.
Geometric Sequences.
The Binomial Theorem.
Mathematical Induction.
Counting Theory.
Basics of Probability.

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