Dugopolski, Mark, author.
Algebra for college students / Mark Dugopolski. - Fourth edition. - Boston Burr Ridge, Ill : McGraw-Hill Higher Education, c2006. - xxxiv, 889, A-48, I-8 pages : illustrations ; 26 cm
Includes index.
Chapter 1 The Real Numbers 1.1Sets 1.2The Real Numbers 1.3Operations on the Set of Real Numbers 1.4Evaluating Expressions 1.5Properties of the Real Numbers 1.6Using the Properties Chapter 2 Linear Equations and Inequalities in One Variable 2.1Linear Equations in One Variable 2.2Formulas 2.3Applications 2.4Inequalities 2.5Compound Inequalities 2.6Absolute Value Equations and Inequalities Chapter 3 Linear Equations and Inequalities in Two Variables 3.1Graphing Lines in the Coordinate Plane 3.2Slope of a Line 3.3Three Forms for the Equation of a Line 3.4Linear Inequalities and Their Graphs 3.5Functions and Relations Chapter 4 Systems of Linear Equations 4.1Solving Systems by Graphing and Substitution 4.2The Addition Method 4.3Systems of Linear Equations in Three Variables 4.4Solving Linear Systems Using Matrices 4.5Determinants and Cramer's Rule 4.6Linear Programming Chapter 5 Exponents and Polynomials 5.1Integral Exponents and Scientific Notation 5.2The Power Rules 5.3Polynomials and Polynomial Functions 5.4Multiplying Binomials 5.5Factoring Polynomials 5.6Factoring ax^2 + bx + c 5.7Factoring Strategy 5.8Solving Equations by Factoring Chapter 6 Rational Expressions and Functions 6.1Properties of Rational Expressions and Functions 6.2Multiplication and Division 6.3Addition and Subtraction 6.4Complex Fractions 6.5Division of Polynomials 6.6Solving Equations Involving Rational Expressions 6.7Applications Chapter 7 Radicals and Rational Exponents 7.1Radicals 7.2Rational Exponents 7.3Operations with Radicals 7.4Quotients, Powers, and Rationalizing Denominators 7.5Solving Equations with Radicals and Exponents 7.6Complex Numbers Chapter 8 Quadratic Equations, Functions, and Inequalities 8.1Factoring and Completing the Square 8.2The Quadratic Formula 8.3Quadratic Functions and Their Graphs 8.4More on Quadratic Equations 8.5Quadratic and Rational Inequalities Chapter 9 Additional Function Topics 9.1Graphs of Functions and Relations 9.2Transformations of Graphs 9.3Combining Functions 9.4Inverse Functions 9.5Variation 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
Provides students with the algebra background needed for further college-level mathematics courses. This text's theme is the development of the skills necessary for solving equations and inequalities. It contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in "Intermediate Algebra".
English text.
0072934824 (reprint)
Algebra.
Mathematics.
CIR QA 152.3 / D83 2006
Algebra for college students / Mark Dugopolski. - Fourth edition. - Boston Burr Ridge, Ill : McGraw-Hill Higher Education, c2006. - xxxiv, 889, A-48, I-8 pages : illustrations ; 26 cm
Includes index.
Chapter 1 The Real Numbers 1.1Sets 1.2The Real Numbers 1.3Operations on the Set of Real Numbers 1.4Evaluating Expressions 1.5Properties of the Real Numbers 1.6Using the Properties Chapter 2 Linear Equations and Inequalities in One Variable 2.1Linear Equations in One Variable 2.2Formulas 2.3Applications 2.4Inequalities 2.5Compound Inequalities 2.6Absolute Value Equations and Inequalities Chapter 3 Linear Equations and Inequalities in Two Variables 3.1Graphing Lines in the Coordinate Plane 3.2Slope of a Line 3.3Three Forms for the Equation of a Line 3.4Linear Inequalities and Their Graphs 3.5Functions and Relations Chapter 4 Systems of Linear Equations 4.1Solving Systems by Graphing and Substitution 4.2The Addition Method 4.3Systems of Linear Equations in Three Variables 4.4Solving Linear Systems Using Matrices 4.5Determinants and Cramer's Rule 4.6Linear Programming Chapter 5 Exponents and Polynomials 5.1Integral Exponents and Scientific Notation 5.2The Power Rules 5.3Polynomials and Polynomial Functions 5.4Multiplying Binomials 5.5Factoring Polynomials 5.6Factoring ax^2 + bx + c 5.7Factoring Strategy 5.8Solving Equations by Factoring Chapter 6 Rational Expressions and Functions 6.1Properties of Rational Expressions and Functions 6.2Multiplication and Division 6.3Addition and Subtraction 6.4Complex Fractions 6.5Division of Polynomials 6.6Solving Equations Involving Rational Expressions 6.7Applications Chapter 7 Radicals and Rational Exponents 7.1Radicals 7.2Rational Exponents 7.3Operations with Radicals 7.4Quotients, Powers, and Rationalizing Denominators 7.5Solving Equations with Radicals and Exponents 7.6Complex Numbers Chapter 8 Quadratic Equations, Functions, and Inequalities 8.1Factoring and Completing the Square 8.2The Quadratic Formula 8.3Quadratic Functions and Their Graphs 8.4More on Quadratic Equations 8.5Quadratic and Rational Inequalities Chapter 9 Additional Function Topics 9.1Graphs of Functions and Relations 9.2Transformations of Graphs 9.3Combining Functions 9.4Inverse Functions 9.5Variation 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
Provides students with the algebra background needed for further college-level mathematics courses. This text's theme is the development of the skills necessary for solving equations and inequalities. It contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in "Intermediate Algebra".
English text.
0072934824 (reprint)
Algebra.
Mathematics.
CIR QA 152.3 / D83 2006