Intermediate Algebra through Applications

by Akst, Geoffrey; Bragg, Sadie

• ISBN13: 9780321518019
• ISBN10: 0321518012
• Edition: 2nd
• Format: Paperback
• Copyright: 2008-01-03
• Publisher: Pearson

Summary

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

Preface

Walk-Through

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

Slope

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

Polynomials

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

Variation

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

Answers

Glossary

Index

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