Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's INTRODUCTORY 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.
Rosemary Karr graduated from Eastern Kentucky University (EKU) in 1976 with a B.S. in Mathematics, attained her M.A. at EKU in Mathematics Education in 1981, and earned her Ph.D. from the University of North Texas in 1996. After two years teaching high school mathematics, she joined the faculty at Eastern Kentucky University, where she earned tenure as Assistant Professor of Mathematics. A professor of mathematics at Collin College in Plano Texas since 1990, Prof. Karr has written more than ten solutions manuals, presented numerous papers, and been an active member in several educational associations (including President of the National Association for Developmental Education). She has been honored several times by Collin College, and has received such national recognitions as U.S. Professor of the Year (2007), Minnie Stevens Piper Professor (2008), and CLADEA fellow (2012).
Marilyn Massey teaches mathematics at Collin College in McKinney, Texas. She has been President of the Texas Association for Developmental Education, featured on the list of Who's Who among America's Teachers and received an Excellence in Teaching Award from the National Conference for College Teaching and Learning. Professor Massey has presented at numerous state and national conferences; her article "Service-Learning Projects in Data Interpretation" was one of two included from community college instructors for the Mathematical Association of America's publication, Mathematics in Service to the Community. She earned her Bachelor's degree in Secondary Education from the University of North Texas and Master's Degree in the Art of Teaching Mathematics from the University of Texas at Dallas.
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.
1. AN INTRODUCTION TO ALGEBRA. The Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter 1 Summary and Review. Chapter 1 Test. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter 2 Summary and Review. Chapter 2 Test. Chapters 1-2 Cumulative Review Exercises. 3. GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS. Graphing Using the Rectangular Coordinate System. Equations Containing Two Variables. Graphing Linear Equations. Rate of Change and the Slope of a Line. Slope-Intercept Form. Point-Slope Form; Writing Linear Equations. Graphing Linear Inequalities. Functions. Chapter 3 Summary and Review. Chapter 3 Test. Chapters 1-3 Cumulative Review Exercises. 4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Addition (Elimination). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter 4 Summary and Review. Chapter 4 Test. Chapters 1-4 Cumulative Review Exercises. 5. EXPONENTS AND POLYNOMIALS. Natural-Number Exponents; Rules of Exponents. Zero and Negative Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Chapter 5 Summary and Review. Chapter 5 Test. Chapters 1-5 Cumulative Review Exercises. 6. FACTORING AND QUADRATIC EQUATIONS. The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx = c. Factoring Trinomials of the Form ax2 + bx + c. Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Quadratic Equations. Applications of Quadratic Equations. Chapter 6 Summary and Review. Chapter 6 Test. Chapters 1-6 Cumulative Review Exercises. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Variation. Chapter 7 Summary and Review. Chapter 7 Test. Chapters 1-7 Cumulative Review Exercises. 8. ROOTS AND RADICALS. Square Roots. Higher-Order Roots; Radicands That Contain Variables. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations; the Distance Formula. Rational Exponents. Chapter 8 Summary and Review. Chapter 8 Test. Chapters 1-8 Cumulative Review Exercises. 9. QUADRATIC EQUATIONS. Solving Quadratic Equations: The Square Root Property. Solving Quadratic Equations: Completing the Square. Solving Quadratic Equations: The Quadratic Formula. Graphing Quadratic Functions. Complex Numbers. Chapter 9 Summary and Review. Chapter 9 Test. Chapter 9 Cumulative Review Exercises.