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Introductory Algebra Julie Miller

Introductory Algebra By Julie Miller

Introductory Algebra by Julie Miller


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Summary

Focuses on solving equations and inequalities, graphing, polynomials, factoring, rational expressions, and radicals. This book offers an introduction to functions and complex numbers.

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Introductory Algebra Summary

Introductory Algebra by Julie Miller

Introductory Algebra offers a refreshing approach to the traditional content of the course. Presented in worktext format, Introductory Algebra focuses on solving equations and inequalities, graphing, polynomials, factoring, rational expressions, and radicals. Other topics include quadratic equations and an introduction to functions and complex numbers. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.

About Julie Miller

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.

Table of Contents

Chapter 1: The Set of Real Numbers 1.1 Sets of Numbers and the Real Number Line 1.2 Order of Operations 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers -- Problem Recognition Exercises-Addition and Subtraction of Signed Numbers1.5 Multiplication and Division of Real Numbers 1.6 Properties of Real Numbers and Simplifying Expressions Chapter 2: Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations 2.3 Linear Equations: Clearing Fractions and Decimals -- Problem Recognition Exercises-Equations and Expressions2.4 Applications of Linear Equations: Introduction to Problem Solving 2.5 Applications Involving Percents 2.6 Formulas and Applications of Geometry 2.7Mixture Applications and Uniform Motion2.8 Linear Inequalities Chapter 3: Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System 3.2 Linear Equations in Two Variables 3.3 Slope of a Line 3.4 Slope-Intercept Form of a Line -- Problem Recognition Exercises-Linear Equations in Two Variables3.5 Point-Slope Formula 3.6 Applications of Linear Equations 3.7 Introduction to Functions Chapter 4: Systems of Linear Equations in Two Variables4.1 Solving Systems of Equations by the Graphing Method 4.2 Solving Systems of Equations by the Substitution Method 4.3 Solving Systems of Equations by the Addition Method -- Problem Recognition Exercises-Systems of Equations4.4 Applications of Linear Equations in Two Variables 4.5 Linear Inequalities and Systems of Inequalities in Two Variables Chapter 5: Polynomials and Properties of Exponents 5.1 Exponents: Multiplying and Dividing Common Bases 5.2 More Properties of Exponents 5.3 Definitions of and 5.4 Scientific Notation -- Problem Recognition Exercises-Properties of Exponents5.5 Addition and Subtraction of Polynomials 5.6 Multiplication of Polynomials 5.7 Division of Polynomials -- Problem Recognition Exercises-Operations on PolynomialsChapter 6: Factoring Polynomials6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form 6.3 Factoring Trinomials: Trial-and-Error Method 6.4 Factoring Trinomials: AC-Method 6.5 Factoring Special Patterns 6.6 Sum and Difference of Cubes -- Problem Recognition Exercises-General Factoring Strategy 6.7 Solving Equations Using the Zero Product Rule -- Problem Recognition Exercises-Expressions and Polynomial Equations6.8Applications of Quadratic EquationsChapter 7: Rational Expressions 7.1 Introduction to Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Least Common Denominator 7.4 Addition and Subtraction of Rational Expressions -- Problem Recognition Exercises-Operations on Rational Expressions7.5 Complex Fractions 7.6 Rational Equations -- Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions7.7 Applications of Rational Equations and Proportions 7.8 Variation Chapter 8: Radicals 8.1 Introduction to Roots and Radicals 8.2 Simplifying Radicals 8.3 Addition and Subtraction of Radicals 8.4 Multiplication of Radicals 8.5 Division of Radicals and Rationalization -- Problem Recognition Exercises-Operations on Radicals8.6 Radical Equations 8.7 Rational Exponents Chapter 9: More Quadratic Equations 9.1 The Square Root Property9.2Completing the Square 9.3 Quadratic Formula -- Problem Recognition Exercises-Solving Quadratic Equations9.4 Graphing Quadratic Functions

Additional information

CIN0077281128VG
9780077281120
0077281128
Introductory Algebra by Julie Miller
Used - Very Good
Paperback
McGraw-Hill Education - Europe
20081216
832
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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