Algebra for College Students

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 Graphs and Functions in the Cartesian Coordinate System 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 Relations and Functions 3.6 Graphs of Functions 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 Cramer's Rule for Systems in Two Variables 4.6 Cramer's Rule for Systems in Three Variables 4.7 Linear Programming Chapter 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Addition, Subtraction, and Multiplication of Polynomials 5.4 Multiplying Binomials 5.5 Division of Polynomials 5.6 Factoring Polynomials 5.7 Factoring ax2 + bx + c 5.8 Factoring Strategy 5.9 Solving Equations by Factoring Chapter 6 Rational Expressions 6.1 Properties of Rational Expressions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Solving Equations Involving Rational Expressions 6.6 Applications Chapter 7 Rational Exponents and Radicals 7.1 Rational Exponents 7.2 Radicals 7.3 Operations with Radicals 7.4 More Operations with Radicals 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 8 Quadratic Equations and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic and Rational Inequalities Chapter 9 Additional Function Topics 9.1 Combining Functions 9.2 Inverse Functions 9.3 Variation 9.4 The Factor Theorem Chapter 10 Polynomial and Rational Functions 10.1 Zeros of a Polynomial Function 10.2 The Theory of Equations 10.3 Graphs of Polynomial Functions 10.4 Graphs of Rational Functions 10.5 Transformations of Graphs Chapter 11 Exponential and Logarithmic Functions 11.1 Exponential Functions 11.2 Logarithmic Functions 11.3 Properties of Logarithms 11.4 Solving Equations 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 ProbabilityDugopolski, Mark is the author of 'Algebra for College Students' with ISBN 9780072332339 and ISBN 0072332336.