Beginning and Intermediate Algebra with Applications &Visualization

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1/3/2008
  • Publisher: Pearson
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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 authors'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 Krieger's focus on math in the real world with a new features and updated applications to engage today'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, Introduction to Rational Expressions, Linear Functions and Models, Matrices and Systems of Linear Equations, 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

Introduction to Algebra
Numbers, Variables, and Expressions
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
Linear inequalities
Chapters 1-2 Cumulative Review
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
Chapters 1-3 Cumulative Review
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
Chapters 1-4 Cumulative Review
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
Chapters 1-5 Cumulative Review
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)
Chapters 1-6 Cumulative Review Exercises
Introduction to 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
Chapters 1-7 Cumulative Review
Linear Functions and Models
Functions and Their Representations
Linear Functions
Compound inequalities
Other Functions and Their Properties
Absolute Value Equations and inequalities
Chapters 1-8 Cumulative Review
Matrices and Systems of Linear Equations
Systems of Linear Equations in Three Variables
Matrix Solutions of Linear Systems
Determinants Chapters 1-9 Cumulative Review Exercises
Radical Expressions and Functions
Radical Expressions and Rational Exponents
Simplifying Radical Expressions
Operations on Radical Expressions
Radical Functions
Equations involving Radical Expressions
Complex Numbers
Chapters 1-10 Cumulative Review
Quadratic Functions and Equations
Quadratic Functions and Their Graphs
Parabolas and Modeling
Quadratic Equations
The Quadratic Formula
Quadratic inequalities
Equations in Quadratic Form
Chapters 1-11 Cumulative Review
Exponential and Logarithmic Functions
Composite and inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Chapters 1-12 Cumulat<$$$>
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