Elementary & Intermediate Algebra, 3e 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 is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.
Auflage
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Maße
Höhe: 254 mm
Breite: 203 mm
Dicke: 41 mm
Gewicht
ISBN-13
978-0-07-128402-8 (9780071284028)
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 and Inequalities in Two Variables3.1Graphing Lines in the Coordinate Plane3.2Slope3.3Equations of Lines in Slope-Intercept Form3.4The Point-Slope Form3.5Variations3.6Graphing Linear Inequalities in Two VariablesChapter 3 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 3 Test*Making Connections: a review of Chapters 1-3*Critical Thinking4 Exponents and Polynomials4.1The Rules of Exponents4.2Negative Exponents and Scientific Notation4.3Addition and Subtraction of Polynomials4.4Multiplication of Polynomials4.5Multiplication of Binomials4.6Special Products4.7Division of PolynomialsChapter 4 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 4 Test*Making Connections: a review of Chapters 1-4*Critical Thinking5 Factoring5.1Factoring Out Common Factors5.2Special Products and Grouping5.3Factoring the Trinomial ax + bx + c with a = 15.4Factoring the Trinomial ax + bx + c with a ? 15.5The Factoring Strategy5.6Solving Quadratic Equations by FactoringChapter 5 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 5 Test*Making Connections: a review of Chapters 1-5*Critical Thinking6 Rational Expressions6.1Reducing Rational Expressions6.2Multiplication and Division6.3Finding the Least Common Denominator6.4Addition and Subtraction6.5Complex Fractions6.6Solving Equations Involving Rational Expressions6.7Applications of Ratios and Proportions6.8Applications of Rational Expressions Chapter 6 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 6 Test*Making Connections: a review of Chapters 1-6*Critical Thinking7 Systems of Linear Equations7.1Solving Systems by Graphing and Substitution7.2The Addition Method7.3Systems of Linear Equations in Three VariablesChapter 7 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 7 Test*Making Connections: a review of Chapters 1-7*Critical Thinking8 More on Inequalities8.1Compound Inequalities in One Variable8.2Absolute Value Equations and Inequalities8.3Compound Inequalities in Two Variables8.4Linear ProgrammingChapter 8 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 8 Test*Making Connections: a review of Chapters 1-8*Critical Thinking9 Radicals and Rational Exponents9.1Radicals9.2Rational Exponents9.3Adding, Subtracting, and Multiplying Radicals9.4Quotients, Powers, and Rationalizing Denominators9.5Solving Equations with Radicals and Exponents9.6Complex NumbersChapter 9 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 9 Test*Making Connections: a review of Chapters 1-9*Critical Thinking10 Quadratic Equations and Inequalities10.1Factoring and Completing the Square10.2The Quadratic Formula10.3More on Quadratic Equations10.4Graphing Parabolas10.5Quadratic and Rational InequalitiesChapter 10 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 10 Test*Making Connections: a review of Chapters 1-10*Critical Thinking11 Functions11.1Functions and Relations11.2Graphs of Functions and Relations11.3Transformations of Graphs11.4Graphs of Polynomial Functions11.5Graphs of Rational Functions11.6Combining Functions11.7Inverse FunctionsChapter 11 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 11 Test*Making Connections: a review of Chapters 1-11*Critical Thinking12 Exponential and Logarithmic Functions12.1Exponential Functions and Their Applications12.2Logarithmic Functions and Their Applications12.3Properties of Logarithms12.4Solving Equations and ApplicationsChapter 12 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 12 Test*Making Connections: a review of Chapters 1-12*Critical Thinking13 Nonlinear Systems and the Conic Sections13.1Nonlinear Systems of Equations13.2The Parabola13.3The Circle13.4The Ellipse and Hyperbola13.5Second-Degree InequalitiesChapter 13 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 13 Test*Making Connections: a review of Chapters 1-13*Critical Thinking14 Sequences and Series14.1Sequences14.2Series14.3Arithmetic Sequences and Series14.4Geometric Sequences and Series14.5Binomial ExpansionsChapter 14 Wrap-Up*Summary*Enriching Your Mathematical Word Power*Review Exercises*Chapter 14 Test*Making Connections: A Review of Chapter 1-14*Critical ThinkingAppendix A: Geometry Review ExercisesAppendix B: SetsAppendix C: Chapters 1-6 Diagnostic TestAppendix D: Chapters 1-6 ReviewAnswers to Selected Exercises Index
