Elementary Algebra, 6e is part of the latest offerings in the successful Dugopolski series in mathematics. The author's goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that "the price of a hamburger plus a Coke is the same as a Coke plus a hamburger". Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book can be accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone, which can be purchased separately.
Auflage
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Zielgruppe
Für höhere Schule und Studium
US School Grade: College Freshman
Maße
Höhe: 259 mm
Breite: 218 mm
Dicke: 33 mm
Gewicht
ISBN-13
978-0-07-722479-0 (9780077224790)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.
TO THE STUDENTPREFACE1 Real Numbers and Their Properties1.1 The Real Numbers1.2Fractions1.3Addition and Subtraction of Real Numbers1.4Multiplication and Division of Real Numbers1.5Exponential Expressions and the Order of Operations1.6Algebraic Expressions1.7Properties of the Real Numbers1.8Using the Properties to Simplify ExpressionsChapter 1 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 1 Test*Critical Thinking2 Linear Equations and Inequalities in One Variable2.1The Addition and Multiplication Properties of Equality2.2Solving General Linear Equations2.3More Equations2.4Formulas2.5Translating Verbal Expressions into Algebraic Expressions2.6Number, Geometric, and Uniform Motion Applications2.7 Discount, Investment, and Mixture Applications2.8Inequalities2.9Solving Inequalities and ApplicationsChapter 2 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 2 Test*Making Connections: A review of Chapters 1-2*Critical Thinking3 Linear Equations in Two Variables and Their Graphs3.1Graphing Lines in the Coordinate Plane3.2Slope3.3Equations of Lines in Slope-Intercept Form3.4The Point-Slope Form3.5VariationsChapter 3 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 3 Test*Making Connections: a review of Chapters 1-3*Critical Thinking4 Systems of Linear Equations and Inequalities4.1The Graphing Method4.2The Substitution Method4.3The Addition Method4.4Graphing Linear Inequalities in Two Variables4.5Graphing Systems of Linear InequalitiesChapter 4 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 4 Test*Making Connections: a review of Chapters 1-4*Critical Thinking5 Exponents and Polynomials5.1The Rules of Exponents5.2Negative Exponents and Scientific Notation5.3Addition and Subtraction of Polynomials5.4Multiplication of Polynomials5.5Multiplication of Binomials5.6Special Products5.7Division of PolynomialsChapter 5 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 5 Test*Making Connections: a review of Chapters 1-5*Critical Thinking6 Factoring6.1Factoring Out Common Factors6.2Special Products and Grouping6.3Factoring the Trinomial ax + bx + c with a = 16.4Factoring the Trinomial ax + bx + c with a ? 16.5The Factoring Strategy6.6Solving Quadratic Equations by FactoringChapter 6 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 6 Test*Making Connections: a review of Chapters 1-6*Critical Thinking7 Rational Expressions7.1Reducing Rational Expressions7.2Multiplication and Division7.3Finding the Least Common Denominator7.4Addition and Subtraction7.5Complex Fractions7.6Solving Equations with Rational Expressions7.7Applications of Ratios and Proportions7.8Applications of Rational ExpressionsChapter 7 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 7 Test*Making Connections: a review of Chapters 1-7*Critical Thinking8 Powers and Roots8.1Roots, Radicals, and Rules8.2Simplifying Square Roots8.3Operations with Radicals8.4Solving Equations with Radicals and Exponents8.5Fractional ExponentsChapter 8 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 8 Test*Making Connections: a review of Chapters 1-8*Critical Thinking9 Quadratic Equations, Parabolas, and Functions9.1The Square Root Property and Factoring9.2Completing the Square9.3The Quadratic Formula9.4Applications of Quadratic Equations9.5Complex Numbers9.6Graphing Parabolas9.7Introduction to Functions9.8Combining FunctionsChapter 9 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 9 Test*Making Connections: a review of Chapters 1-9*Critical ThinkingAppendix A: Geometry Review ExercisesAppendix B: SetsAppendix C: Final Exam ReviewAnswers to Selected Exercises Index
