Intermediate Algebra / Edition 5 available in Hardcover
Algebra can be like a foreign language, but INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced WebAssign. With INTERMEDIATE ALGEBRA, 5E, algebra will make sense because it is not just about the x...it's also about the WHY.
About the Author
Alan Tussy has taught all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books. An extraordinary author dedicated to his students' success, he is relentlessly meticulous and creativea visionary who maintains a keen focus on the greatest challenges students face in Mathematics. Alan received his Bachelor of Science degree in Mathematics from University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught across course and curriculum areas from prealgebra to differential equations. He is currently focusing on teaching courses related to Developmental Mathematics. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges (AMATYC).
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.
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. Group Project. 2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS. Graphs. Graphing Linear Equations in Two Variables. 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. Group Project. Cumulative Review. 3. SYSTEMS OF EQUATIONS. Solving Systems of Equations by Graphing. Solving Systems of Equations Algebraically. Solving Systems of Equation in Three Variables. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Problem Solving Using Systems of Two Equations. Problem Solving Using Systems of Three Equations. Chapter Summary and Review. Chapter Test. Group Project. 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. Group Project. 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. Factoring Trinomials. The Difference of Two Squares; the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Chapter Summary and Review. Chapter Test. Group Project. 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. Group Project. Cumulative Review 7. RADICAL EXPRESSIONS AND EQUATIONS. Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Base-e Exponential and Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 10. CONIC SECTIONS; MORE GRAPHING. The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Group Project. 11. MISCELLANEOUS TOPICS. The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. Appendix 1: Roots and Powers. Appendix 2: Answers to Selected Problems.
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