View Author Bio
Aufmann, Richard N. : Palomar College
Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty.
Barker, Vernon C. : Palomar College
Lockwood, Joanne S. : Plymouth State College
Joanne Lockwood is Assistant Professor of Mathematics at Plymouth State College in Plymouth, New Hampshire. She is co-author with Aufmann and Vernon Barker on the hardback developmental series, Business Mathematics, Algebra with Trigonometry for College Students, and numerous software ancillaries that accompany Aufmann titles. She is also co-authoring Mathematical Excursions with Aufmann.
View Table of Contents
1. Real Numbers
Section 1.1 Introduction to Integers
Section 1.2 Operations with Integers
Section 1.3 Rational Numbers
Section 1.4 Exponents and the Order of Operations Agreement
Focus on Problem Solving: Inductive Reasoning
Projects and Group Activities: Calculators, Using Patterns in Mathematics, www.fedstats.gov, Moving Averages
2. Variable Expressions
Section 2.1 Evaluating Variable Expressions
Section 2.2 Simplifying Variable Expressions
Section 2.3 Translating Verbal Expressions into Variable Expressions
Focus on Problem Solving: From Concrete to Abstract
Projects and Group Activities: Investigation into Operations with Even and Odd Integers, Applications of Patterns in Mathematics
3. Solving Equations and Inequalities
Section 3.1 Introduction to Equations
Section 3.2 General Equations
Section 3.3 Inequalities
Focus on Problem Solving: Analyzing Data
Projects and Group Activities: Health and Nutrition, The Cosumer Price Index
4. Solving Equations and Inequalities: Applications
Section 4.1 Translating Sentences into Equations
Section 4.2 Integer, Coin, and Stamp Problems
Section 4.3 Geometry Problems
Section 4.4 Markup and Discount Problems
Section 4.5 Investment Problems
Section 4.6 Mixture Problems
Section 4.7 Uniform Motion Problems
Section 4.8 Inequalities
Focus on Problem Solving: Trial-and-Error Approach to Problem Solving, Diagraming Problems
Projects and Group Activities: Nielsen Ratings, Changes in Percent Concentration
5. Linear Equations and Inequalities
Section 5.1 The Rectangular Coordinate System
Section 5.2 Graphs of Straight Lines
Section 5.3 Slopes of Straight Lines
Section 5.4 Equations of Straight Lines
Section 5.5 Functions
Section 5.6 Graphing Linear Inequalities
Focus on Problem Solving: Counterexamples
Projects and Group Activities: Graphing Linear Equations with a Graphing Utility, Population Projections
6. Systems of Linear Equations
Section 6.1 Solving Systems of Linear Equations by Graphing
Section 6.2 Solving Systems of Linear Equations by the Substitution Method
Section 6.3 Solving Systems of Linear Equations by the Addition Method
Section 6.4 Application Problems in Two Variables
Focus on Problem Solving: Using a Table and Searching for a Pattern
Projects and Group Activities: Find a Pattern, Break-even Analysis, Solving a System of Equations with a Graphing Calculator
7. Polynomials
Section 7.1 Addition and Subtraction of Polynomials
Section 7.2 Multiplication of Monomials
Section 7.3 Multiplication of Polynomials
Section 7.4 Integer Exponents and Scientific Notation
Section 7.5 Division of Polynomials
Focus on Problem Solving: Dimensional Analysis
Projects and Group Activities: Pascal's Triangle, Population and Land Allocation, Properties of Polynomials
8. Factoring
Section 8.1 Common Factors
Section 8.2 Factoring Polynomials of the Form x2 + bx + c
Section 8.3 Factoring Polynomials of the Form ax2 + bx + c
Section 8.4 Special Factoring
Section 8.5 Solving Equations
Focus on Problem Solving: Making a Table, The Trial-and-Error Method
Projects and Group Activities: Prime and Composite Numbers, Search the World Wide Web, Problems Involving Falling Objects
9. Rational Expressions
Section 9.1 Multiplication and Division of Rational Expressions
Section 9.2 Expressing Fractions in Terms of the Least Common Multiple of Their Denominators
Section 9.3 Addition and Subtraction of Rational Expressions
Section 9.4 Complex Fractions
Section 9.5 Equations Containing Fractions
Section 9.6 Literal Equations
Section 9.7 Application Problems
Focus on Problem Solving: Negations and If...then...Sentences, Calculators
Projects and Group Activities: Intensity of Illumination, Scale Model of the Solar System
10. Radical Expressions
Section 10.1 Introduction to Radical Expressions
Section 10.2 Addition and Subtraction of Radical Expressions
Section 10.3 Multiplication and Division of Radical Expressions
Section 10.4 Solving Equations Containing Radical Expressions
Focus on Problem Solving: Deductive Reasoning
Projects and Group Activities: Mean and Standard Deviation, Distance to the Horizon, Expressway On-Ramp Curves
11. Quadratic Equations
Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
Section 11.2 Solving Quadratic Equations by Completing the Square
Section 11.3 Solving Quadratic Equations by Using the Quadratic Formula
Section 11.4 Graphing Quadratic Equations in Two Variables
Section 11.5 Application Problems
Focus on Problem Solving: Applying Algebraic Manipulation and Graphing Techniques to Business
Projects and Group Activities: Graphical Solutions of Quadratic Equations, Geometric Construction of Completing the Square
Final Exam
Graphing Calculator Appendix
Solutions to Student Problems
Answers to Selected Exercises
Glossary
Index
