Beginning and Intermediate Algebra with Applications and Visualization

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1/1/2009
  • Publisher: Addison Wesley
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Beginning and Intermediate Algebra with Applications and Visualization offers an innovative approach to the beginning and intermediate algebra curriculum that allows students to gain both skills and understanding. This text not only prepares students for future mathematics courses, but it also demonstrates to students the relevance of mathematics. This approach increases student interest, motivation, and the likelihood for success. Many students think in visual, concrete terms and not abstractly. This text helps students learn mathematics better by moving from the concrete to the abstract. It makes use of multiple representations (verbal, graphical, numerical, and symbolic), applications, visualization, and technology.

Table of Contents

Introduction to Algebra
Numbers, Variables, and Algebraic 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
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
Addition and Subtraction of Polynomials
Rules for Exponents
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)
Factoring Trinomials (II)
Special Types of Factoring
Solving Equations by Factoring
Factoring Polynomials
Rational Expressions
Introduction to Rational Expressions
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions (I)
Addition and Subtraction of Rational Expressions (II)
Complex Fractions
Rational Equations and Formulas
Proportions and Variation
Linear Functions and Models
Functions and Their Representations
Linear Functions
Compound Inequalities
Other Functions and Their Properties
Absolute Value Equations and Inequalities
Matrices and Systems of Linear Equations
Systems of Equations in Three Variables
Matrix Solutions of Linear Systems
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
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