Intermediate Algebra offers a refreshing approach to the traditional content of the course. Presented in worktext format, Intermediate Algebra offers a review of problem solving, solving equations in two and three variables, a chapter devoted to functions, polynomials, radicals and complex numbers, factoring and quadratic functions, rational expressions, and inequalities. Other topics include exponential and logarithmic functions and conic sections. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.
Auflage
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 274 mm
Breite: 216 mm
Dicke: 31 mm
Gewicht
ISBN-13
978-0-07-728111-3 (9780077281113)
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Schweitzer Klassifikation
Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.
My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and Id like to see math come alive for my students.
Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.
I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.
Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a masters degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra. I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.
Chapter 1Review of Basic Algebraic Concepts1.1Sets of Number and Interval Notation1.2Operation on Real Numbers1.3Simplifying Expressions1.4Linear Equations in One Variable -- Problem Recognition Exercises: Expressions and Equations 1.5Applications of Linear Equations in One Variable1.6Literal Equations and Applications to Geometry1.7Linear Inequalities in One Variable1.8Properties of Integer Exponents and Scientific NotationChapter 2Graphing Linear Equations and Functions2.1Linear Equations in Two Variables2.2Slope of a Line -- Problem Recognition Exercises: Intercepts and Slope2.3Equations of a Line2.4Application of Linear Equations and Modeling2.5 Introduction to Relations2.6Introduction to Functions2.7Graphs of Basic FunctionsChapter 3Systems of Linear Equations3.1Solving Systems of Linear Equations by Graphing3.2Solving Systems of Linear Equations by Using the Substitution Method3.3Solving Systems of Linear Equations by Using the Addition Method -- Problem Recognition Exercises: Method of Solving Systems of Equations3.4Applications of Systems of Linear Equations in Two Variables3.5Systems of Linear Equations in Three Variables and Applications3.6Solving Systems of Linear Equations by Using MatricesChapter 4Polynomials4.1Addition and Subtraction of Polynomials and Polynomial Functions.4.2Multiplication of Polynomials4.3Division of Polynomials -- Problem Recognition Exercises: Operations on Polynomials4.4Greatest Common Factor and Factoring by Grouping4.5Factoring Trinomials4.6Factoring Binomials4.7Additional Factoring Strategies4.8Solving Equations by Using the Zero Product RuleChapter 5Rational Expressions and Rational Equations5.1Rational Expressions and Rational Functions5.2Multiplication and Division of Rational Expressions5.3Addition and Subtraction of Rational Expressions5.4Complex Fractions -- Problem Recognition Exercises: Simplifying Rational Expressions5.5Solving Rational Equations -- Problem Recognition Exercises: Rational Expressions and Equations5.6Applications of Rational Equations and Proportions5.7 VariationChapter 6Radicals and Complex Numbers6.1Definition of an nth-Root6.2Rational Exponents6.3Simplifying Radical Expressions6.4Addition and Subtraction of Radicals6.5Multiplication of Radicals -- Problem Recognition Exercises: Operations on Radical Expressions6.6Rationalization6.7Solving Radical Equations6.8Complex NumbersChapter 7Quadratic Equations and Functions7.1Square Root Property and Completing the Square7.2Quadratic Formula7.3Equations in Quadratic Form -- Problem Recognition Exercises: Recognizing Equation Types7.4Graphs of Quadratic Functions7.5Applications of Quadratic Functions and ModelingChapter 8More Equations and Inequalities8.1Compound Inequalities8.2Polynomial and Rational Inequalities8.3Absolute Value Equations8.4Absolute Value Inequalities -- Problem Recognition Exercises: Equations and Inequalities8.5Linear Inequalities in Two VariablesChapter 9 Exponential and Logarithmic Functions9.1Algebra and Composition of Functions9.2Inverse Functions9.3Exponential Functions9.4Logarithmic Functions9.5Properties of Logarithms9.6The Irrational Number e -- Problem Recognition Exercises: Logarithmic and Exponential Forms9.7Exponential and Logarithmic EquationsChapter 10 Conic Sections10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola -- Problem Recognition Exercises: Identifying and Graphing Conic Sections10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and System if InequalitiesAdditional Topics AppendixA.1Binomial ExpansionsA.2Determinants and Cramer's RuleA.3Sequences and SeriesA.4Arithmetic and Geometric Sequences and Series
