Algebra for College Students

ISBN-10: 0073384348
ISBN-13: 9780073384344
Edition: 6th 2012
Authors: Mark Dugopolski
List price: $258.33 Buy it from $15.94
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Description: The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses. Algebra for College Students,6eis part of the latest offerings in the successful Dugopolski series in mathematics. In  More...

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Book details

List price: $258.33
Edition: 6th
Copyright year: 2012
Publisher: McGraw-Hill Higher Education
Publication date: 1/12/2011
Binding: Hardcover
Pages: 992
Size: 8.75" wide x 10.00" long x 1.50" tall
Weight: 4.686
Language: English

The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses. Algebra for College Students,6eis part of the latest offerings in the successful Dugopolski series in mathematics. In his books, students and faculty will find short, precise explanations of terms and concepts written in clear, understandable language that is mathematically accurate. Dugopolski also includes a double cross-referencing system between the examples and exercise sets, so no matter where the students start, they will see the connection between the two. Finally, the author finds it important to not only provide quality but also a wide variety and quantity of exercises and applications.

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.

Preface
Applications Index
The Real Numbers
Sets
The Real Numbers
Operations on the Set of Real Numbers
Evaluating Expressions and the Order of Operations
Properties of the Real Numbers
Using the Properties
Linear Equations and Inequalities in One Variable
Linear Equations in One Variable
Formulas and Functions
Applications
Inequalities
Compound Inequalities
Absolute Value Equations and Inequalities
Linear Equations and Inequalities in Two Variables
Graphing Lines in the Coordinate Plane
Slope of a Line
Three Forms for the Equation of a Line
Linear Inequalities and Their Graphs
Functions and Relations
Systems of Linear Equations
Solving Systems by Graphing and Substitution
The Addition Method
Systems of Linear Equations in Three Variables
Solving Linear Systems Using Matrices
Determinants and Cramer's Rule
Linear Programming
Exponents and Polynomials
Integral Exponents and Scientific Notation
The Power Rules
Polynomials and Polynomial Functions
Multiplying Binomials
Factoring Polynomials
Factoring ax + bx + c
Factoring Strategy
Solving Equations by Factoring
Rational Expressions and Functions
Properties of Rational Expressions and Functions
Multiplication and Division
Addition and Subtraction
Complex Fractions
Division of Polynomials
Solving Equations Involving Rational Expressions
Applications
Radicals and Rational Exponents
Radicals
Rational Exponents
Adding, Subtracting, and Multiplying Radicals
Quotients, Powers, and Rationalizing Denominators
Solving Equations with Radicals and Exponents
Complex Numbers
Quadratic Equations, Functions, and Inequalities
Factoring and Completing the Square
The Quadratic Formula
More on Quadratic Equations
Quadratic Functions and Their Graphs
Quadratic Inequalities
Additional Function Topics
Graphs of Functions and Relations
Transformations of Graphs
Combining Functions
Inverse Functions
Variation
Polynomial and Rational Functions
The Factor Theorem
Zeros of a Polynomial Function
The Theory of Equations
Graphs of Polynomial Functions
Graphs of Rational Functions
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Properties of Logarithms
Solving Equations and Applications
Nonlinear Systems and the Conic Sections
Nonlinear Systems of Equations
The Parabola
The Circle
The Ellipse and Hyperbola
Second-Degree Inequalities
Sequences and Series
Sequences
Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Binomial Expansions
Counting and Probability
Counting and Permutations
Combinations
Probability
Answers to Selected Exercises
Index

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