Intermediate Algebra with Applications and Visualization

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2007-12-27
  • Publisher: Pearson
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KEY MESSAGE:Gary Rockswold and Terry Kriegerfocus on teaching algebra in context, giving readers 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 readers encounter them. This new edition further enhances Rockswold and Kriegerrs"s focus on math in the real world with new features and updated applications to engage todayrs"s readers. KEY TOPICS: Real Numbers and Algebra; Linear Functions and Models; Linear Equations and Inequalities; Systems of Linear Equations; Polynomial Expressions and Functions; Rational Expressions and Functions; Radical Expressions and Functions; Quadratic Functions and Equations; Exponential and Logarithmic Functions; Conic Sections; Sequences and Series 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

Real Numbers and Algebra
Describing Data with Sets of Numbers
Operations on Real Numbers
Integer Exponents
Variables, Equations, and Formulas
Introduction to Graphing
Linear Functions and Models
Functions and Their Representations
Linear Functions
The Slope of a Line
Equations of Lines and Linear Models
Linear Equations and Inequalities
Linear Equations
Introduction to Problem Solving
Linear Inequalities
Compound Inequalities
Absolute Value Equations and Inequalities
Systems of Linear Equations
Systems of Linear Equations in Two Variables
The Substitution and Elimination Methods
Systems of Linear Inequalities
Introduction to Linear Programming
Systems of Linear Equations in Three Variables
Matrix Solutions of Linear Systems
Polynomial Expressions and Functions
Polynomial Functions
Multiplication of Polynomials
Factoring Polynomials
Factoring Trinomials
Special Types of Factoring
Summary of Factoring
Polynomial Equations
Rational Expressions and Functions
Introduction to Rational Functions and Equations
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Rational Equations
Complex Fractions
Modeling with Proportions and Variation
Division of Polynomials
Radical Expressions and Functions
Radical Expressions and Rational Exponents
Simplifying Radical Expressions
Operations on Radical Expressions
Radical Functions
Equations Involving Radical Expressions
Complex Numbers
Quadratic Functions and Equations
Quadratic Functions and Their Graphs
Parabolas and Modeling
Quadratic Equations
The Quadratic Formula
Quadratic Inequalities
Equations in Quadratic Form
Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Conic Sections
Parabolas and Circles
Ellipses and Hyperbolas
Nonlinear Systems of Equations and Inequalities
Sequences and Series
Arithmetic and Geometric Sequences
The Binomial Theorem
Appendix: Using the Graphing Calculator
Answers to Selected Exercises
Photo Credits
Index of Applications
Table of Contents provided by Publisher. All Rights Reserved.

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