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Summary
Algebra for College Students is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. The primary goal in writing the second edition of Algebra for College Students has been to retain the features that made the first edition so successful, while incorporating the comments and suggestions of first-edition users. Many new features have been provided that will help instructors reach the goals that they have set for their students. As always, the author endeavors to write texts that your students can read, understand, and enjoy, while gaining confidence in their ability to use mathematics. While the essence of the text remains, the topics have been rearranged and new features added to reflect the current needs of instructors and students.
Table of Contents
Chapter 1 The Real Numbers
1.1 Sets
1.2 The Real Numbers
1.3 Operations on the Set of Real Numbers
1.4 Evaluating Expressions
1.5 Properties of the Real Numbers
1.6 Using the Properties
Chapter 2 Linear Equations and Inequalities in One Variable
2.1 Linear Equations in One Variable
2.2 Formulas
2.3 Applications
2.4 Inequalities
2.5 Compound Inequalities
2.6 Absolute Value Equations and Inequalities
Chapter 3 Graphs and Functions in the Cartesian Coordinate System
3.1 Graphing Lines in the Coordinate Plane
3.2 Slope of a Line
3.3 Three Forms for the Equation of a Line
3.4 Linear Inequalities and Their Graphs
3.5 Relations and Functions
3.6 Graphs of Functions
Chapter 4 Systems of Linear Equations
4.1 Solving Systems by Graphing and Substitution
4.2 The Addition Method
4.3 Systems of Linear Equations in Three Variables
4.4 Solving Linear Systems Using Matrices
4.5 Cramer's Rule for Systems in Two Variables
4.6 Cramer's Rule for Systems in Three Variables
4.7 Linear Programming
Chapter 5 Exponents and Polynomials
5.1 Integral Exponents and Scientific Notation
5.2 The Power Rules
5.3 Addition, Subtraction, and Multiplication of Polynomials