Basic College Mathematics

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers. My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students. Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics. I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students. Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra. I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.

• Basic College Mathematics, 3rd Edition 1Whole Numbers 1.1Introduction to Whole Numbers1.2Addition of Whole Numbers and Perimeter1.3Subtraction of Whole Numbers1.4Rounding and Estimating1.5Multiplication of Whole Numbers and Area1.6Division of Whole NumbersPRE: Operations on Whole Numbers1.7Exponents, Square Roots, and the Order of Operations1.8Problem Solving StrategiesGroup Activity: Becoming a Successful Student2Fractions and Mixed Numbers: Multiplication and Division 2.1Introduction to Fractions and Mixed Numbers2.2Prime Numbers and Factorisations2.3Simplifying Fractions to Lowest Terms2.4Multiplication of Fractions and Applications2.5Division of Fractions and ApplicationsPRE: Multiplication and Division of Fractions2.6Multiplication and Division of Mixed NumbersGroup Activity: Cooking for Company3Fractions and Mixed Numbers: Addition and Subtraction 3.1Addition and Subtraction of Like Fractions3.2Least Common Multiple3.3Addition and Subtraction of Unlike Fractions3.4Addition and Subtractions of Mixed NumbersPRE: Operations on Fractions and Mixed Numbers3.5Order of Operations and Applications of Fractions and Mixed NumbersGroup Activity: Card Games with Fractions4Decimals 4.1Decimal Notation and Rounding4.2Addition and Subtraction of Decimals4.3Multiplication of Decimals4.4Division of DecimalsPRE: Operations on Decimals4.5Fractions as Decimals4.6Order of Operations and Applications of DecimalsGroup Activity: Purchasing from a Catalog5Ratio and Proportion 5.1Ratios5.2Rates and Unit Cost5.3ProportionsPRE: Operations on Fractions versus Solving Proportions5.4Applications of Proportions and Similar FiguresGroup Activity: Investigating Probability6Percents 6.1Percents and Their Fraction and Decimal Forms6.2Fractions and Decimals and Their Percent Forms6.3Percent Proportions and Applications6.4Percent Equations and ApplicationsPRE: Percents6.5Applications Involving Sales Tax, Commission, Discount, and Markup6.6Percent Increase and Decrease6.7Simple and Compound InterestGroup Activity: Credit Card Investment7Measurement 7.1Converting US Customary Units of Length7.2Converting US Customary Units of Time, Weight, and Capacity7.3Metric Units of Length7.4Metric Units of Mass and Capactiy and Medical ApplicationsPRE: US Customary and Metric Conversions7.5Converting Between US Customary and Metric UnitsGroup Activity: Remodeling the Classroom8Geometry 8.1Lines and Angles8.2Triangles and the Pythagorean Theorem8.3Quadrilaterals, Perimeter, and Area8.4Circles, Circumference, and AreaPRE: Area, Perimeter, and Circumference8.5VolumeGroup Activity: Constructing a Golden Rectangle9Introduction to Statistics 9.1Tables, Bar Graphs, Pictographs, and Lines Graphs9.2Frequency Distributions and Histograms9.3Circle Graphs9.4Mean, Median, and Mode9.5Introduction to ProbabilityGroup Activity: Creating a Statistical Report10Real Numbers 10.1Real Numbers and the Real Number Line10.2Addition of Real Numbers10.3Subtraction of Real NumbersPRE: Addition and Subtraction of Real Numbers10.4Multiplication and Division of Real NumbersPRE: Operations on Real Numbers10.5Order of OperationsGroup Activity: Checking Weather Predictions11Solving Equations 11.1Properties of Real Numbers11.2Simplifying Expressions11.3Addition and Subtraction Properties of Equality11.4Multiplication and Division Properties of Equality11.5Solving Equations with Multiple StepsPRE: Equations versus Expressions11.6Applications and Problem SolvingGroup Activity: Deciphering a Coded MessageAdditional Topics Appendix A.1Energy and PowerA.2Scientific NotationA.3Rectangular Coordinate System