Synopses & Reviews
Algebra can be like a foreign language. But one text delivers an interpretation you can fully understand. Building a conceptual foundation in the language of algebra, iNTERMEDIATE ALGEBRA, 4e provides an integrated learning process that helps you expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Packed with real-life applications of math, it blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills. The authors' five-step problem-solving approach makes learning easy. More student-friendly than ever, the text offers a rich collection of student learning tools, including Enhanced WebAssign online learning system. With INTERMEDIATE ALGEBRA, 4e, algebra makes sense
Synopsis
Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's INTERMEDIATE ALGEBRA, Fourth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the "language of algebra," the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.
Synopsis
Become fluent in "the language of algebra" with INTERMEDIATE ALGEBRA. This textbook will improve your ability to read, write, and communicate mathematical ideas. Tussy and Gustafson make learning easy with their five-step problem-solving approach: analyze the problem, form an equation, solve the equation, state the result, and check the solution. This edition also includes iLrn Testing and Tutorial; Personal Tutor with SMARTHINKING live online tutoring; the Interactive Video Skillbuilder CD-ROM with MathCue; a Book Companion Web Site featuring online graphing calculator resources; and The Learning Equation, powered by iLrn.
About 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. Diane Koenig received a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980. She began her career at Rock Valley College in 1981, when she became the Math Supervisor for the newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University, Ms. Koenig in 1984 had the distinction of becoming the first full-time woman mathematics faculty at Rock Valley College. In addition to being nominated for AMATYC's Excellence in Teaching Award, Diane Koenig was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and, in 2006, she was awarded the NISOD Teaching Excellence Award as well as the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, Ms. Koenig has been an active member of the Illinois Mathematics Association of Community Colleges (IMACC). As a member, she has served on the board of directors, on a state-level task force rewriting the course outlines for the developmental mathematics courses, and as the association's newsletter editor.
Table of Contents
1. A REVIEW OF BASIC ALGEBRA. The Language of Algebra. The Real Numbers. Operations with Real Numbers. Simplifying Algebraic Expressions Using Properties of Real Numbers. Solving Linear Equations Using Properties of Equality. Solving Formulas; Geometry. Using Equations to Solve Problems. More About Problem Solving. Chapter Summary and Review. Chapter Test. Cumulative Review. 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. An Introduction to Functions. Graphs of Functions. Chapter Summary and Review. Chapter Test. Cumulative Review. 3. SYSTEMS OF EQUATIONS. Solving Systems by Graphing. Solving Systems Algebraically. Problems Solving Using Systems of Two Equations. Solving Systems of Equations in Three Variables. Problem Solving Using Systems of Three Equations. Solving Systems of Equations Using Matrices. Solving Systems Using Determinants. Chapter Summary and Review. Chapter Test. Cumulative Review. 4. INEQUALITIES. Solving Linear Inequalities in One Variable. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review. 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. Chapter Summary and Review. Chapter Test. Cumulative Review. 6. RATIONAL EXPRESSIONS AND EQUATIONS. Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division. Solving Rational Equations. Problem Solving Using Rational Equations. Proportion and Variation. Chapter Summary and Review. Chapter Test. Cumulative Review. 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. Chapter Summary and Review. Chapter Test. Cumulative Review. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Square Root Property and Completing the Square. The Quadratic Formula. Quadratic Functions and Their Graphs. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review. 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. Chapter Summary and Review. Chapter Test. Cumulative Review. 10. CONIC SECTIONS; MORE GRAPHING. The Circle and Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Cumulative Review. Appendix I: Roots and Powers. Appendix II: Answers to Selected Exercises.