Algebra: Introductory and Intermediate

Overview

With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.

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Overview

With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.

Read More Show Less

Product Details

  • ISBN-13: 9780618386475
  • Publisher: Houghton Mifflin Harcourt
  • Publication date: 6/25/2003
  • Edition description: Older Edition
  • Edition number: 3
  • Pages: 752

Meet the Author

Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty.

Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.

Joanne Lockwood is co-author with Dick Aufmann and Vernon Barker on the hardback developmental series, Business Mathematics, Algebra with Trigonometry for College Students, and numerous software ancillaries that accompany Aufmann titles. She is also the co-author of Mathematical Excursions with Aufmann.

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Table of Contents

1. Real Numbers and Variable Expressions
1.1 Integers
1.2 Rational and Irrational Numbers
1.3 The Order of Operations Agreement
1.4 Variable Expressions
1.5 Sets
2.First-Degree Equations and Inequalities
2.1 Introduction to Equations
2.2 General Equations
2.3 Translating Sentences into Equations
2.4 Mixture and Uniform Motion Problems
2.5 First-Degree Inequalities
2.6 Absolute Value Equations and Inequalities
3.Geometry
3.1 Introduction to Geometry
3.2 Plane Geometric Figures
3.3 Solids
4.Linear Functions and Inequalities in Two Variables
4.1 The Rectangular Coordinate System
4.2 Introduction to Functions
4.3 Linear Functions
4.4 Slope of a Straight Line
4.5 Finding Equations of Lines
4.6 Parallel and Perpendicular Lines
4.7 Inequalities in Two Variables
5.Systems of Linear Equations and Inequalities
5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method
5.2 Solving Systems of Linear Equations by the Addition Method
5.3 Application Problems
5.4 Solving Systems of Linear Inequalities
5.5 Solving Systems of Equations by Using Determinants
6.Polynomials
6.1 Exponential Expressions
6.2 Introduction to Polynomial Functions
6.3 Multiplication of Polynomials
6.4 Division of Polynomials
7.Factoring
7.1 Common Factors
7.2 Factoring Polynomials of the Form x2 + bx + c
7.3 Factoring Polynomials of the Form ax2 + bx + c
7.4 Special Factoring
7.5 Solving Equations
8.Rational Expressions
8.1 Multiplication and Division of Rational Expressions
8.2 Addition and Subtraction of Rational Expressions
8.3 Complex Fractions
8.4Solving Equations Containing Fractions
8.5 Ratio and Proportion
8.6 Literal Equations
8.7 Application Problems
8.8 Variation
9.Exponents and Radicals
9.1 Rational Exponents and Radical Expressions
9.2 Operations on Radical Expressions
9.3 Solving Equations Containing Radical Expressions
9.4 Complex Numbers
10.Quadratic Equations
10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations by Using the Quadratic Formula
10.4 Solving Equations That Are Reducible to Quadratic Equations
10.5 Quadratic Inequalities and Rational Inequalities
10.6 Applications of Quadratic Equations
11.Functions and Relations
11.1 Properties of Quadratic Functions
11.2 Graphs of Functions
11.3 Algebra of Functions
11.4 One-to-One and Inverse Functions
11.5 Conic Sections
12.Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Introduction to Logarithms
12.3 Graphs of Logarithmic Functions
12.4 Solving Exponential and Logarithmic Equations
12.5 Applications of Exponential and Logarithmic Functions R. Review of Introductory Algebra Topics R.1 Variable Expressions R.2 Equations and Inequalities R.3 Linear Equations in Two Variables R.4 Polynomials

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