Beginning Algebra - Rilegato

Miller, Julie; O'Neill, Molly; Hyde, Nancy

Rilegato

ISBN 10: 0073384488 ISBN 13: 9780073384481

Casa editrice: McGraw Hill, 2013

Riassunto

The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning 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.

Su questo libro

L'autore:

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.

Contenuti:

Beginning Algebra, Miller, O'Neill, Hyde, 4 edition

Chapter 1: The Set of Real Numbers

1.1Fractions

1.2Introduction to Algebra and the Set of Real Numbers

1.3Exponents, Square Roots, and the Order of Operations

1.4Addition of Real Numbers

1.5Subtraction of Real Numbers

Problem Recognition Exercises—Addition and Subtraction of Real Numbers

1.6Multiplication and Division of Real Numbers

Problem Recognition Exercises—Adding, Subtracting, Multiplying, and Dividing Real Numbers

1.7Properties of Real Numbers and Simplifying Expressions

Chapter 2:Linear Equations and Inequalities

2.1Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2Solving Linear Equations

2.3Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises—Equations vs.Expressions

2.4Applications of Linear Equations: Introduction to Problem Solving

2.5Applications Involving Percents

2.6Formulas and Applications of Geometry

2.7Mixture Applications and Uniform Motion

2.8Linear Inequalities

Chapter 3:Graphing Linear Equations in Two Variables

3.1Rectangular Coordinate System

3.2Linear Equations in Two Variables

3.3Slope of a Line and Rate of Change

3.4Slope-Intercept Form of a Linear Equation

Problem Recognition Exercises—Linear Equations in Two Variables

3.5Point-Slope Formula

3.6Applications of Linear Equations and Modeling

Chapter 4:Systems of Linear Equations in Two Variables

4.1Solving Systems of Equations by the Graphing Method

4.2Solving Systems of Equations by the Substitution Method

4.3Solving Systems of Equations by the Addition Method

Problem Recognition Exercises—Systems of Equations

4.4Applications of Linear Equations in Two Variables

4.5Linear Inequalities and Systems of Inequalities in Two Variables

Chapter 5:Polynomials and Properties of Exponents

5.1Multiplying and Dividing Expressions with Common Bases

5.2More Properties of Exponents

5.3Definitions of and Problem Recognition Exercises—Properties of Exponents

5.4Scientific Notation

5.5Addition and Subtraction of Polynomials

5.6Multiplication of Polynomials and Special Products

5.7Division of Polynomials

Problem Recognition Exercises—Operations on Polynomials

Chapter 6:Factoring Polynomials

6.1Greatest Common Factor and Factoring by Grouping

6.2Factoring Trinomials of the Form x^2 + bx + c

6.3Factoring Trinomials: Trial-and-Error Method

6.4Factoring Trinomials: AC-Method

6.5Difference of Squares and Perfect Square Trinomials

6.6Sum and Difference of Cubes

Problem Recognition Exercises—Factoring Strategy

6.7Solving Equations Using the Zero Product Rule

Problem Recognition Exercises— Polynomial Expressions versus Polynomial Equations

6.8Applications of Quadratic Equations

Chapter 7:Rational Expressions and Equations

7.1Introduction to Rational Expressions

7.2Multiplication and Division of Rational Expressions

7.3Least Common Denominator

7.4Addition and Subtraction of Rational Expressions

Problem Recognition Exercises—Operations on Rational Expressions

7.5Complex Fractions

7.6Rational Equations

Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions

7.7Applications of Rational Equations and Proportions

7.8Variation

Chapter 8:Radicals

8.1Introduction to Roots and Radicals

8.2Simplifying Radicals

8.3Addition and Subtraction of Radicals

8.4Multiplication of Radicals

8.5Division of Radicals and Rationalization

Problem Recognition Exercises—Operations on Radicals

8.6Radical Equations

8.7Rational Exponents

Chapter 9:Quadratic Equations, Complex Numbers, and Functions

9.1The Square Root Property

9.2Completing the Square

9.3Quadratic Formula

Problem Recognition Exercises—Solving Different Types of Equations

9.4Complex Numbers

9.5Graphing Quadratic Equations

9.6Introduction to Functions

Additional Topics Appendix

A.1Decimals and Percents

A.2Mean, Median, and Mode

A.3Introduction to Geometry

A.4Converting Units of Measurement

Su questa edizione

• Editore: McGraw Hill
• Data di pubblicazione: 2013
• ISBN 10: 0073384488
• ISBN 13: 9780073384481
• Rilegatura: Copertina rigida
• Numero edizione: 4
• Numero di pagine: 816