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McGraw-Hill Companies, The
MP: Intermediate Algebra W/ Mathzone / Edition 1

MP: Intermediate Algebra W/ Mathzone / Edition 1

by Julie Miller, Molly O'Neill


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MP: Intermediate Algebra W/ Mathzone / Edition 1

Miller/O'Neill Intermediate Algebra is an insightful text written by instructors who have first-hand experience with students of developmental mathematics. The authors introduce functions in Chapter 3 and do a very thorough treatment, devoting the entire chapter to the concept of functions. With such a solid foundation to build from, students will experience greater success when they encounter other function-related topics in later chapters, such as polynomial functions; quadratic functions; radical functions; and others. The authors have crafted the exercise sets with the idea of infusing review. In each set of practice exercises, instructors will find a set of exercises that help students to review concepts previously learned, and in this way, students will retain more of what they have learned. The exercise sets also contain "translation" exercises which provide students with an opportunity to convert from English phrases to mathematical symbols and from mathematical symbols to English phrases, thus helping students to strengthen their command of mathematical language. Moreover, the applications found in the exercise sets are based on real-world data, which helps to promote students' interest in mathematics, and in turn, may serve to motivate and engage them. Other features include mid-chapter reviews and classroom activities (classroom activities are worksheets that can be downloaded from the OLC or distributed by instructors since the classroom activities can be found in the IRM as well). The classroom activities are of special value, in that through their use, students may begin to take greater ownership over their own learning. The classroom activities were designed to be quickactivities students could perform in class (either individually, or collaboratively in groups). In short, the Miller/O'Neill Intermediate Algebra text offers enriching applications, a high level of readability, and excellent opportunities for students to become actively engaged in their exploration of mathematics.

Product Details

ISBN-13: 9780073016108
Publisher: McGraw-Hill Companies, The
Publication date: 03/10/2004
Product dimensions: 8.10(w) x 10.30(h) x 1.30(d)

About the Author

Julie Miller has been on the faculty of the Mathematics Department at Daytona Beach Community College for 16 years, where she has taught developmental and upper-level courses. Prior to her work at DBCC, 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.

Molly O'Neill is also from Daytona Beach Community College, where she has taught for 18 years in the Mathematics Department. She has taught a variety of courses from Developmental Mathamatics to Calculus. Before she came to Florida, Molly taught as an adjunct instructor at teh 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.

Table of Contents

1 Review of Basic Algebraic Concepts

Sets of Numbers and Interval Notation

Operations on Real Numbers

Simplifying Expressions

Linear Equations in One Variable

Midchapter Review

Applications of Linear Equations in One Variable

Literal Equations and Applications to Geometry

Linear Inequalities in One Variable

2 Linear Equations in Two and Three Variables

Linear Equations in Two Variables

Slope of a Line

Equations of a Line

Applications of Linear Equations and Graphing

Midchapter Review

Systems of Linear Equations in Two Variables

Applications of Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Solving Systems of Linear Equations Using Matrices

3 Introduction to Relations and Functions

Introduction to Relations

Introduction to Functions

Graphs of Basic Functions

Midchapter Review

Additional Topics on Functions


4 Polynomials

Properties of Integer Exponents and Scientific Notation

Polynomial Functions and Applications

Addition and Subtraction of Polynomials

Midchapter Review

Multiplication of Polynomials

Division of Polynomials

Synthetic Division

5 Radicals and Complex Numbers

Definition of an nth-Root

Rational Exponents

Properties of Radicals

Midchapter Review

Addition and Subtraction of Radicals

Multiplication of Radicals


Radical Equations

Complex Numbers

6 Factoring and Quadratic Functions

Greatest Common Factor and Factoring by Grouping

Factoring Trinomials

Factoring Binomials

Midchapter Review: A Factoring Strategy

Zero Product Rule

Completing the Squareand the Square Root Property

Quadratic Formula

Equations in Quadratic Form

7 Quadratic Functions and Nonlinear Systems

Graphs of Quadratic Functions

Applications of Quadratic Functions

Midchapter Review

Distance Formula and Circles

Nonlinear Systems of Equations in Two Variables

8 Rational Expressions

Introduction to Rational Functions

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Midchapter Review

Complex Fractions

Rational Equations

Applications of Rational Equations and Proportions

9 More Equations and Inequalities

Compound Inequalities

Polynomial and Rational Inequalities

Midchapter Review

Absolute Value Equations

Absolute Value Inequalities

Linear Inequalities in Two Variables

10 Exponential and Logarithmic Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

The Irrational Number, e

Midchapter Review

Exponential and Logarithmic Equations

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