Main Description
The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses.
Algebra for College Students, 6e is 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.
PREFACE
APPLICATIONS INDEX
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 and the Order of Operations
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 and Functions
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 ax² + 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 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 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 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: Polynomial and Rational Functions
10.1 The Factor Theorem
10.2 Zeros of a Polynomial Function
10.3 The Theory of Equations
10.4 Graphs of Polynomial Functions
10.5 Graphs of Rational Functions
Chapter 11: Exponential and Logarithmic Functions
11.1 Exponential Functions and Their Applications
11.2 Logarithmic Functions and Their Applications
11.3 Properties of Logarithms
11.4 Solving Equations and Applications
Chapter 12: Nonlinear Systems and the Conic Sections
12.1 Nonlinear Systems of Equations
12.2 The Parabola
12.3 The Circle
12.4 The Ellipse and Hyperbola
12.5 Second-Degree Inequalities
Chapter 13: Sequences and Series
13.1 Sequences
13.2 Series
13.3 Arithmetic Sequences and Series
13.4 Geometric Sequences and Series
13.5 Binomial Expansions
Chapter 14: Counting and Probability
14.1 Counting and Permutations
14.2 Combinations
14.3 Probability
Appendix A
Answers to Selected Exercises
Index
