Intermediate Algebra

Julie Miller, Molly O'Neill, Nancy Hyde (Autoren)

Buch | Hardcover

960 Seiten

2019 | 5th edition
McGraw-Hill Education (Verlag)
978-1-259-61023-3 (ISBN)

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Get Better Results with high quality content, exercise sets, and step-by-step pedagogy!The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Intermediate Algebra 5e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.

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.

Intermediate Algebra 5e Reference: Review of Basic Algebraic ConceptsR.1 Study SkillsR.2 Sets of Numbers and Interval NotationR.3 Operations of Real NumbersR.4 Simplifying Algebraic ExpressionsChapter 1: Linear Equations and Inequalities in One Variable1.1 Linear Equations in One VariableProblem Recognition Exercises-Equations versus Expressions

1.2 Applications of Linear Equations in One Variable1.3 Applications of Geometry and Literal Equations1.4 Linear Inequalities in One Variable1.5 Compound Inequalities1.6 Absolute Value Equations1.7 Absolute Value InequalitiesProblem Recognition Exercises-Identifying Equations and Inequalities

Chapter 2: Linear Equations in Two Variables and Functions2.1 Linear Equations in Two Variables2.2 Slope of a Line and Rate of Change2.3 Equations of a LineProblem Recognition Exercises-Characteristics of Linear Equations

2.4 Applications of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of FunctionsProblem Recognition Exercises-Characteristics of Relations

Chapter 3: Systems of Linear Equations and Inequalities3.1 Solving Systems of Linear Equations by the Graphing Method3.2 Solving Systems of Linear Equations by the Substitution Method3.3 Solving Systems of Linear Equations by the Addition MethodProblem Recognition Exercises-Solving Systems of Linear Equations

3.4 Applications of Systems of Linear Equations in Two Variables3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables3.6 Systems of Linear Equations in Three Variables and Applications3.7 Solving Systems of Linear Equations by Using MatricesChapter 4: Polynomials4.1 Properties of Integer Exponents and Scientific Notation4.2 Addition and Subtraction of Polynomials and Polynomials Functions4.3 Multiplication of Polynomials4.4 Division of PolynomialsProblem Recognition Exercises-Operations on Polynomials

4.5 Greatest Common Factor and Factoring by Grouping4.6 Factoring Trinomials4.7 Factoring BinomialsProblem Recognition Exercises-Factoring Summary

4.8 Solving Equations by Using the Zero Product RuleChapter 5: Rational Expressions and Rational Equations5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex FractionsProblem Recognition Exercises-Operations on Rational Expressions

5.5 Solving Rational EquationsProblem Recognition Exercises-Rational Equations versus Expressions

5.6 Applications of Rational Equations and ProportionsVariationChapter 6: Radicals and Complex Numbers6.1 Definition of an nth Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of RadicalsProblem Recognition Exercises-Simplifying Radical Expressions

6.6 Division of Radicals and Rationalization6.7 Solving Radical Equations6.8 Complex NumbersChapter 7: Quadratic Equations, Functions and Inequalities7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic FormProblem Recognition Exercises-Quadratic and Quadratic Type Equations

7.4 Graphs of Quadratic Functions7.5 Vertex of a Parabola: Applications and Modeling7.6 Polynomial and Rational InequalitiesProblem Recognition Exercises-Recognizing Equations and Inequalities

Chapter 8: Exponential and Logarithmic Functions and Applications8.1 Algebra of Functions and Composition8.2 Inverse Functions8.3 Exponential Functions8.4 Logarithmic FunctionsProblem Recognition Exercises-Identifying Graphs of Functions

8.5 Properties of Logarithms8.6 The Irrational Number e and Change of BaseProblem Recognition Exercises-Logarithmic and Exponential Forms

8.7 Logarithmic and Exponential Equations and ApplicationsChapter 9: Conic Sections9.1 Distance Formula, Midpoint Formula, and Circles9.2 More on the Parabola9.3 The Ellipse and HyperbolaProblem Recognition Exercises-Formulas and Conic Sections

9.4 Nonlinear systems of Equations in Two Variables9.5 Nonlinear Inequalities and Systems of InequalitiesChapter 10: Binomial Expansions, Sequences, and Series10.1 Binomial Expansions10.2 Sequences and Series10.3 Arithmetic Sequences and Series10.4 Geometric Sequences and Series Problem Recognition Exercises-Identifying Arithmetic and Geometric Series

Chapter 11 (Online): Transformations, Piecewise-Defined Functions, and Probability11.1 Transformations of Graphs and Piecewise-Defined Functions11.2 Fundamentals of Counting11.3 Introduction to ProbabilityAdditional Topics AppendixA.1 Determinants and Cramer’s Rule

Erscheinungsdatum	05.01.2017
Zusatzinfo	2264 Illustrations
Verlagsort	OH
Sprache	englisch
Maße	218 x 282 mm
Gewicht	2690 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	1-259-61023-3 / 1259610233
ISBN-13	978-1-259-61023-3 / 9781259610233
Zustand	Neuware