Intermediate Algebra through Applications

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  • Edition: 2nd
  • Format: Paperback
  • Copyright: 1/3/2008
  • Publisher: Pearson
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Presented in a clear and concise style, theAkst/Braggseries teaches by example while expanding understanding with applications that are fully integrated throughout the text and exercise sets. Akst/Braggrs"s user-friendly design offers a distinctive side-by-side format that pairs each example and its solution with a corresponding practice exercise. The concise writing style keeps studentsrs" interest and attention by presenting the mathematics with minimal distractions, and the motivating real-world applications demonstrate how integral mathematical understanding is to a variety of disciplines, careers, and everyday situations.

Author Biography

Geoffrey Akst and Sadie Bragg have worked together for many years as professors of mathematics at Borough of Manhattan Community College/City University of New York.  They met as graduate students at Teachers College, Columbia University, where they were both working on degrees in the teaching of college mathematics. The emphasis on applications in their texts reflects a concern they share for helping students understand why the topics to be studied are useful.  Dr. Akst for years has begun his classes with the payoff question: why is this material worth learning?  A native New Yorker, he enjoys surfing the Web, listening to good music, and traveling to exciting places.  Dr. Bragg, who began her career in math education as a high school geometry teacher, credits her teachers with inspiring her love for mathematics and an appreciation of its utility.  A transplanted Virginian, she spends her time with her family and her beautiful granddaughter, Maya.

Table of Contents

Index of Applications
Algebra Basics
Introduction to Real Numbers
Operations with Real Numbers
Properties of Real Numbers
Laws of Exponents and Scientific Notation
Algebraic Expressions: Translating, Evaluating, and Simplifying
Linear Equations and Inequalities
Solving Linear Equations
Solving Literal Equations and Formulas
Solving Linear Inequalities
Solving Compound Inequalities
Solving Absolute Value Equations and Inequalities
Graphs, Linear Equations and Inequalities, and Functions
The Rectangular Coordinate System
Graphing Linear Equations
More on Graphing Linear Equations
Graphing Linear Inequalities
Introduction to Functions
Systems of Linear Equations and Inequalities
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations Algebraically by Substitution or Elimination
Solving Systems of Linear Equations in Three Variables
Solving Systems of Linear Equations by Using Matrices
Solving Systems of Linear Inequalities
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Division of Polynomials
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials
Special Factoring
Solving Quadratic Equations by Factoring
Rational Expressions and Equations
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Complex Rational Expressions
Solving Rational Equations
Radical Expressions and Equations
Radical Expressions and Rational Exponents
Simplifying Radical Expressions
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Solving Radical Equations
Complex Numbers
Quadratic Equations, Functions, and Inequalities
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Using the Quadratic Formula
More on Quadratic Equations
Graphing Quadratic Functions
Solving Quadratic and Rational Inequalities
Exponential and Logarithmic Functions
The Algebra of Functions and Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Common Logarithms, Natural Logarithms, and Change of Base
Exponential and Logarithmic Equations
Conic Sections
Introduction to Conics
The Parabola
The Circle
The Ellipse and the Hyperbola
Solving Nonlinear Systems of Equations
Solving Nonlinear Inequalities and Nonlinear Systems of Inequalities
Table of Contents provided by Publisher. All Rights Reserved.

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