Beginning Algebra with Applications &Visualization

by Rockswold, Gary K.; Krieger, Terry A.

• ISBN13: 9780321500045
• ISBN10: 0321500040
• Edition: 2nd
• Format: Hardcover
• Copyright: 2007-12-27
• Publisher: Pearson

Summary

KEY MESSAGE:Gary Rockswold and Terry Kriegerfocus on teaching algebra in context, giving students realistic and convincing answers to the perennial question, "When will I ever use this?" The authorsrs" consistent use of real data, graphs, and tables throughout the examples and exercise sets gives meaning to the numbers and equations as students encounter them. This new edition further enhances Rockswold and Kriegerrs"s focus on math in the real world with a new features and updated applications to engage todayrs"s students. KEY TOPICS: Introduction to Algebra, Linear Equations and Inequalities, Graphing Equations, Systems of Linear Equations In Two Variables, Polynomials and Exponents, Factoring Polynomials and Solving Equations, Rational Expressions, Radical Expressions, Quadratic Equations MARKET: For all readers interested in algebra.

Author Biography

Gary Rockswold is a professor of mathematics at Minnesota State University—Mankato. He received his BA in mathematics and physics from St. Olaf College and his Ph.D. in applied mathematics from Iowa State. He was elected to the honor societies of Phi Beta Kappa, Phi Kappa Phi, and Sigma Xi. He has been a principal investigator at the Minnesota Supercomputer Institute and has published several research articles discussing parallel processing and numerical analysis. He is also the author or coauthor of more than 10 current textbooks. At regional and national meetings, he has given numerous presentations related to teaching mathematics. During his thirty-five-year career, Gary has taught mathematics, physical science, astronomy, and computer science at a variety of student levels, ranging from junior high to graduate. Making mathematics meaningful and relevant for students at the developmental and precalculus levels is of special interest to him. He also has a passion for professing mathematics and for communicating the amazing impact that mathematics has on our society.

 

Terry Krieger has taught mathematics for over fifteen years at the middle school, high school, vocational, community college, and university levels. He graduated summa cum laude from Bemidji State University in Bemidji, Minnesota with a BA in secondary mathematics education. He received his MA in mathematics from Minnesota State University—Mankato. In addition to his teaching experience in the United States, Terry has taught mathematics in Tasmania, Australia and in a rural school in Swaziland, Africa, where he served as a Peace Corps volunteer. Outside of teaching, Terry enjoys wilderness camping, trout fishing and home improvement projects. His past experiences include running two marathons, climbing Mt. Kilimanjaro, and watching the sunset from the banks of the Nile. He currently resides in Rochester, Minnesota with his wife and family. Terry has been involved with various aspects of mathematics textbook publication for more than ten years.

Table of Contents

Preface

Features Supplements

Acknowledgments

Introduction to Algebra

Numbers, Variables, and Expressions

Fractions

Exponents and Order of Operations

Real Numbers and the Number Line

Addition and Subtraction of Real Numbers

Multiplication and Division of Real Numbers

Properties of Real Numbers

Simplifying and Writing Algebraic Expressions

Linear Equations and Inequalities

Introduction to Equations

Linear Equations

Introduction to Problem Solving

Formulas

Linear Inequalities

Graphing Equations

Introduction to Graphing

Linear Equations in Two Variables

More Graphing of Lines

Slope and Rates of Change

Slope-Intercept Form

Point-Slope Form

Introduction to Modeling

Systems of Linear Equations In Two Variables

Solving Systems of Linear Equations Graphically and Numerically

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Elimination

Systems of Linear Inequalities

Polynomials and Exponents

Rules for Exponents

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Special Products

Integer Exponents and the Quotient Rule

Division of Polynomials

Factoring Polynomials and Solving Equations

Introduction to Factoring

Factoring Trinomials I (x2 + bx + c)

Factoring Trinomials II (ax2 + bx + c)

Special Types of Factoring

Summary of Factoring

Solving Equations by Factoring I (Quadratics)

Solving Equations by Factoring II (Higher Degree)

Rational Expressions

Introduction to Rational Expressions

Multiplication and Division of Rational Expressions

Addition and Subtraction with Like Denominators

Addition and Subtraction with Unlike Denominators

Complex Fractions

Rational Equations and Formulas

Proportions and Variation

Radical Expressions

Introduction to Radical Expressions

Multiplication and Division of Radical Expressions

Addition and Subtraction of Radical Expressions

Simplifying Radical Expressions

Equations Involving Radical Expressions

Higher Roots and Rational Exponents

Quadratic Equations

Parabolas

Introduction to Quadratic Equations

Solving by Completing the Square

The Quadratic Formula

Complex Solutions

Introduction to Function?

Appendix Sets?

Answers to Selected Exercises

Glossary

Bibliography

Photo Credits

Index of Applications

Index

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