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Intermediate Algebra (with CD-ROM and Printed Access Card Enhanced iLrn? Math Tutorial, iLrn? Math Tutorial, The Learning Equation Labs, Student Resource Center) / Edition 3

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Overview

The fundamental goal in Tussy and Gustafson's INTERMEDIATE ALGEBRA, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills to develop students' fluency in the "language of algebra". Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts and study skills information designed to give students the best chance to succeed in the course. Additionally, the texts widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write and communicate mathematical ideas.

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Editorial Reviews

From the Publisher
You have done a great job explaining to the students how to read and write mathematically. The writing component helps the student to retain the information and [it will] be helpful to them in a subsequent math course.

I really like these explanatory [author's] notes. They are similar to ones that I like to write on the chalkboard when I am lecturing. This is perhaps my favorite feature of the text. Martin-Gay does have similar explanatory notes, but Tussy/Gustafson has more detail. The authors have done a good job with this.

Booknews
This text provides a blend of traditional and reform instructional approaches needed to read, write, speak, and think mathematically using the language of algebra. Tussy (Citrus College) and Gustafson (Rock Valley College) provide 11 chapters that expand the students' mathematical reasoning abilities and give them a set of survival skills that will help them to succeed in a world that increasingly requires analytic thinking. They include worked examples followed by self-checks, problem-solving strategies, applications and connections to other disciplines, in-depth coverage of geometry and graphing, study sets and reviews, and one-page summaries of key concepts. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780534493943
  • Publisher: Cengage Learning
  • Publication date: 3/23/2005
  • Series: Available Titles CengageNOW Series
  • Edition description: REV
  • Edition number: 3
  • Pages: 864
  • Product dimensions: 8.50 (w) x 10.84 (h) x 1.25 (d)

Meet the Author

: Alan Tussy teaches all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books-a paperback series and a hard-cover series. An extraordinary author, he is dedicated to his students' success, relentlessly meticulous, creative, and a visionary who maintains a keen focus on his students' greatest challenges. Alan received his Bachelor of Science degree in Mathematics from the University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught up and down the curriculum from prealgebra to differential equations. He is currently focusing on the developmental math courses. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges.

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.

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Table of Contents

1. REVIEW OF BASIC ALGEBRA. Describing Numerical Relationships. The Real Number System/Operations with Real Numbers. Simplifying Algebraic Expressions. Solving Linear Equations and Formulas. Using Equations to Solve Problems. More Problem Solving. Key Concept: "Let x =". 2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS. The Rectangular Coordinate System. Graphing Linear Equations. Rate of Change and the Slope of a Line. Writing Equations of Lines. Introduction to Functions. Graphs of Functions. Key Concept: Functions. 3. SYSTEMS OF EQUATIONS. Solving Systems by Graphing. Solving Systems Algebraically. Systems with Three Variables. Solving Systems Using Matrices. Solving Systems Using Determinants. Key Concept: Systems of Equations. 4. INEQUALITIES. Solving Linear Inequalities. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Key Concept: Inequalities. 5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS. Exponents. Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares. The Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Key Concept: Polynomials. 6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Functions and Simplifying Rational Expressions. Proportion and Variation. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Equations Containing Rational Expressions. Dividing Polynomials. Key Concept: Expressions and Equations. 7. RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Radical Expressions and Radical Functions. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Rational Exponents. Geometric Applications of Radicals. Key Concept: Radicals. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Completing the square. The Quadratic Formula. Quadratic Functions and Their Graphs. Complex Numbers. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic and Other Nonlinear Inequalities. Key Concept: Solving Quadratic Equations. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Algebra and Composition of Functions. Inverses of Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms/ Properties of Logarithms. Exponential and Logarithmic Equations. Key Concept: Inverse Functions. 10. CONIC SECTIONS; MORE GRAPHING. The Circle and Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second-Degree Equations. Key Concept: Conic Sections. Appendix I: A Review of Fractions and Decimals. Appendix II: The Binomial Theorem. Appendix III: Tables.

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