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McGraw-Hill Companies, The
MP Intermediate Algebra with MathZone / Edition 5

MP Intermediate Algebra with MathZone / Edition 5

by Mark Dugopolski, Michael G. Curran


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Product Details

ISBN-13: 9780073019277
Publisher: McGraw-Hill Companies, The
Publication date: 01/07/2005
Edition description: Older Edition
Pages: 896
Product dimensions: 8.30(w) x 10.40(h) x 1.49(d)

About the Author

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

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 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 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 Cramer's Rule

4.6 Linear Programming

Chapter 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^2 + bx + c

5.7 Factoring Strategy

5.8 Solving Equations by Factoring

Chapter 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 7 Radicals and Rational Exponents

7.1 Radicals

7.2 Rational Exponents

7.3 Operations with Radicals

7.4 Quotients, Powers, and Rationalizing Denominators

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

Chapter 8 Quadratic Equations, Functions, and Inequalities

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 Quadratic Functions and Their Graphs

8.4 More on Quadratic Equations

8.5 Quadratic and Rational Inequalities

Chapter 9 Additional Function Topics

9.1 Graphs of Functions and Relations

9.2 Transformations of Graphs

9.3 Combining Functions

9.4 Inverse Functions

9.5 Variation

Chapter 10 Exponential and Logarithmic Functions

10.1 Exponential Functions and Their Applications

10.2 Logarithmic Functions and Their Applications

10.3 Properties of Logarithms

10.4 Solving Equations and Applications

Chapter 11 Nonlinear Systems and the Conic Sections

11.1 Nonlinear Systems of Equations

11.2 The Parabola

11.3 The Circle

11.4 The Ellipse and Hyperbola

11.5 Second-Degree Inequalities

Chapter 12 Sequences and Series

12.1 Sequences

12.2 Series

12.3 Arithmetic Sequences and Series

12.4 Geometric Sequences and Series

12.5 Binomial Expansions

Appendix A Geometry Review

Appendix B Sets

Appendix C Final Exam Review

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