Richard Aufmann is the lead author of two bestselling developmental math series, a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in Mathematics from the University of California, Irvine, and an MA in Mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.
Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.
Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.
1. Real Numbers and Variable Expressions 1.1 Integers 1.2 Rational and Irrational Numbers 1.3 The Order of Operations Agreement 1.4 Variable Expressions 1.5 Sets 2. First-Degree Equations and Inequalities 2.1 Introduction to Equations 2.2 General Equations 2.3 Translating Sentences into Equations 2.4 Mixture and Uniform Motion Problems 2.5 First-Degree Inequalities 2.6 Absolute Value Equations and Inequalities 3. Geometry 3.1 Introduction to Geometry 3.2 Plane Geometric Figures 3.3 Solids 4. Linear Functions and Inequalities in Two Variables 4.1 The Rectangular Coordinate System 4.2 Introduction to Functions 4.3 Linear Functions 4.4 Slope of a Straight Line 4.5 Finding Equations of Lines 4.6 Parallel and Perpendicular Lines 4.7 Inequalities in Two Variables 5. Systems of Linear Equations and Inequalities 5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method 5.2 Solving Systems of Linear Equations by the Addition Method 5.3 Application Problems 5.4 Solving Systems of Linear Inequalities 5.5 Solving Systems of Equations by Using Determinants 6. Polynomials 6.1 Exponential Expressions 6.2 Introduction to Polynomial Functions 6.3 Multiplication of Polynomials 6.4 Division of Polynomials 7. Factoring 7.1 Common Factors 7.2 Factoring Polynomials of the Form x2 + bx + c 7.3 Factoring Polynomials of the Form ax2 + bx + c 7.4 Special Factoring 7.5 Solving Equations 8. Rational Expressions 8.1 Multiplication and Division of Rational Expressions 8.2 Addition and Subtraction of Rational Expressions 8.3 Complex Fractions 8.4 Solving Equations Containing Fractions 8.5 Ratio and Proportion 8.6 Literal Equations 8.7 Application Problems 8.8 Variation 9. Exponents and Radicals 9.1 Rational Exponents and Radical Expressions 9.2 Operations on Radical Expressions 9.3 Solving Equations Containing Radical Expressions 9.4 Complex Numbers 10. Quadratic Equations 10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots 10.2 Solving Quadratic Equations by Completing the Square 10.3 Solving Quadratic Equations by Using the Quadratic Formula 10.4 Solving Equations That Are Reducible to Quadratic Equations 10.5 Quadratic Inequalities and Rational Inequalities 10.6 Applications of Quadratic Equations 11. Functions and Relations 11.1 Properties of Quadratic Functions 11.2 Graphs of Functions 11.3 Algebra of Functions 11.4 One-to-One and Inverse Functions 11.5 Conic Sections 12. Exponential and Logarithmic Functions 12.1 Exponential Functions 12.2 Introduction to Logarithms 12.3 Graphs of Logarithmic Functions 12.4 Solving Exponential and Logarithmic Equations 12.5 Applications of Exponential and Logarithmic Functions R. Review of Introductory Algebra Topics R.1 Variable Expressions R.2 Equations and Inequalities R.3 Linear Equations in Two Variables R.4 Polynomials