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The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra 4e. 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.
|Publisher:||McGraw-Hill Professional Publishing|
|Edition description:||5th ed.|
|Product dimensions:||6.00(w) x 1.25(h) x 9.00(d)|
|Age Range:||18 Years|
About the Author
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 master’s 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.
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 I’d like to see math come alive for my students.
Table of Contents
Beginning and Intermediate Algebra 4e Chapter 1: Set of Real Numbers 1.1 Fractions 1.2 Introduction to Algebra and the Set of Real Numbers1.3 Exponents, Square Roots, and Order of Operations1.4 Addition of Real Numbers1.5 Subtraction of Real Numbers
Problem Recognition ExercisesAddition and Subtraction of Real Numbers1.6 Multiplication and Division of Real Numbers
Problem Recognition ExercisesAdding, Subtracting, Multiplying and Dividing Real Numbers1.7 Properties of Real Numbers and Simplifying ExpressionsChapter 2: Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality2.2 Solving Linear Equations2.3 Linear Equations: Clearing Fractions and Decimals
Problem Recognition ExercisesEquations vs.Expressions2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
Problem Recognition Exercises-Linear Equations in Two VariablesPoint-Slope FormulaApplications of Linear EquationsChapter 4: Systems of Linear Equations 4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations4.4 Applications of Linear Equations in Three Variables4.5 Systems of Linear Equations in Three Variables4.6 Applications of Systems of Linear Equations in Three VariablesChapter 5: Polynomials and Properties of Exponents5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n
Problem Recognition Exercises-Properties of Exponents5.4 Scientific Notation5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of Polynomials
Problem Recognition Exercises-Operations on PolynomialsChapter 6: Factoring Polynomials6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x^2 + bx + c6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes
Problem Recognition Exercises-Factoring Strategy6.7 Solving Equations Using the Zero Product Rule
Problem Recognition Exercises-Polynomial Expressions and Polynomial Equations6.8 Applications of Quadratic EquationsChapter 7: Rational Expressions and Equations 7.1 Introduction of Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
Problem Recognition Exercises-Operations of Rational Expressions7.5 Complex Fractions7.6 Rational Equations
Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions7.7 Applications of Rational Equations and ProportionsChapter 8: Relations and Functions 8.1 Introduction of Relations8.2 Introduction of Functions8.3 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations8.4 Alebra of Functions and Composition8.5 VariationChapter 9: More Equations and Inequalities9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
Problem Recognition Exercises: Equations and Inequalities9.5 Linear and Compound Inequalities in Two VariablesChapter 10: Radicals and Complex Numbers10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
Problem Recognition Exercises: Simplifying Radical Expressions10.6 Division of Radicals and Rationalization10.7 Solving Radical Equations10.8 Complex NumbersChapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations11.4 Graphs of Quadratic Functions11.5 Vertex of a Parabola: Applications and ModelingChapter 12: Exponential and Logarithmic Functions and Applications12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
Problem Recognition Exercises: Logarithmic and Exponential Forms12.4 Properties of Logarithms12.5 The Irrational Number and change of Base12.6 Logarithmic and Exponential Equations and ApplicationsChapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
Problem Recognition Exercises: Formulas and Conic Sections13.4 Nonlinear Systems of Equation in Two Variables13.5 Nonlinear Inequalities and Systems of InequalitiesChapter 14: Binomial Expansions, Sequences, and Series14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
Problem Recognition Exercises: Identifying Arithmetic and Geometric SeriesAdditional Topics AppendixA.1 Mean, Median, and ModeA.2 Introduction to GeometryA.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule