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Algebra for College Students (5th Edition) Mark Dugopolski



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Algebra for College Students (5th Edition) by Mark Dugopolski . 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.

Algebra for College Students (5th Edition) by Mark Dugopolski cover the following topics.


  • Preface
    Guided Tour: Features and Supplements
    Applications Index

  • 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

  • 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

  • 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

  • 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

  • 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 3
    5.7 Factoring Strategy
    5.8 Solving Equations by Factoring

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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
    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

  • 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

  • 14. Counting and Probability
    14.1 Counting and Permutations
    14.2 Combinations
    14.3 Probability

  • Start 1
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