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Algebra for College Students, 4th Edition, 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. This text contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in Dugopolski's Intermediate Algebra.
New Features
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 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 Geometry Review Exercises
Appendix B Sets
Appendix C Final Exam Review
Algebra for College Students, 4th Edition, 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. This text contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in Dugopolski's Intermediate Algebra.
New Features
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 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 Geometry Review Exercises
Appendix B Sets
Appendix C Final Exam Review