Algebra for College Students, 5/e is part of the latest offerings in the successful Dugopolski series in mathematics. The authors goal is to explain mathematical concepts to students in a language they can understand. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other.
Author Bio
Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.
TO THE STUDENT PREFACE 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 1 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 1 Test 6; Critical Thinking 2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Formulas and Functions 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 2 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 2 Test 6; Making Connections: A review of Chapters 1-2 6; Critical Thinking 3 Linear Equations and Inequalities in Two Variables 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 Functions and Relations Chapter 3 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 3 Test 6; Making Connections: a review of Chapters 1-3 6; Critical Thinking 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 Determinants and Cramer7;s Rule 4.6 Linear Programming Chapter 4 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 4 Test 6; Making Connections: a review of Chapters 1-4 6; Critical Thinking 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Binomials 5.5 Factoring Polynomials 5.6 Factoring ax'178; + bx + c 5.7 Factoring Strategy 5.8 Solving Equations by Factoring Chapter 5 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 5 Test 6; Making Connections: a review of Chapters 1-5 6; Critical Thinking 6 Rational Expressions and Functions 6.1 Properties of Rational Expressions and Functions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Division of Polynomials 6.6 Solving Equations Involving Rational Expressions 6.7 Applications Chapter 6 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 6 Test 6; Making Connections: a review of Chapters 1-6 6; Critical Thinking 7 Radicals and Rational Exponents 7.1 Radicals 7.2 Rational Exponents 7.3 Adding, Subtracting, and Multiplying Radicals 7.4 Quotients, Powers, and Rationalizing Denominators 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 7 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 7 Test 6; Making Connections: a review of Chapters 1-7 6; Critical Thinking 8 Quadratic Equations, Functions, and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic Functions and Their Graphs 8.5 Quadratic and Rational Inequalities Chapter 8 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 8 Test &
Algebra for College Students, 5/e is part of the latest offerings in the successful Dugopolski series in mathematics. The authors goal is to explain mathematical concepts to students in a language they can understand. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other.
Author Bio
Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.
Table of Contents
TO THE STUDENT PREFACE 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 1 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 1 Test 6; Critical Thinking 2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Formulas and Functions 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 2 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 2 Test 6; Making Connections: A review of Chapters 1-2 6; Critical Thinking 3 Linear Equations and Inequalities in Two Variables 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 Functions and Relations Chapter 3 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 3 Test 6; Making Connections: a review of Chapters 1-3 6; Critical Thinking 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 Determinants and Cramer7;s Rule 4.6 Linear Programming Chapter 4 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 4 Test 6; Making Connections: a review of Chapters 1-4 6; Critical Thinking 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Binomials 5.5 Factoring Polynomials 5.6 Factoring ax'178; + bx + c 5.7 Factoring Strategy 5.8 Solving Equations by Factoring Chapter 5 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 5 Test 6; Making Connections: a review of Chapters 1-5 6; Critical Thinking 6 Rational Expressions and Functions 6.1 Properties of Rational Expressions and Functions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Division of Polynomials 6.6 Solving Equations Involving Rational Expressions 6.7 Applications Chapter 6 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 6 Test 6; Making Connections: a review of Chapters 1-6 6; Critical Thinking 7 Radicals and Rational Exponents 7.1 Radicals 7.2 Rational Exponents 7.3 Adding, Subtracting, and Multiplying Radicals 7.4 Quotients, Powers, and Rationalizing Denominators 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 7 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 7 Test 6; Making Connections: a review of Chapters 1-7 6; Critical Thinking 8 Quadratic Equations, Functions, and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic Functions and Their Graphs 8.5 Quadratic and Rational Inequalities Chapter 8 Wrap-Up 6; Summary 6; Enriching Your Mathematical Word Power 6; Review Exercises 6; Chapter 8 Test &