Basic College Mathematics

3rd Revised Auflage
ISBN: 978-0-07-338441-2
Verlag: McGraw Hill LLC

Buch, Englisch, 784 Seiten, Format (B × H): 216 mm x 274 mm, Gewicht: 1383 g

Get Better Results with high quality content, exercise sets, and step-by-step pedagogy!The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Basic College Mathematics. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.

Autoren/Hrsg.

Miller, Julie

O'Neill, Molly

Hyde, Nancy

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Basic College Mathematics, 3rd Edition 1Whole Numbers 1.1Introduction to Whole Numbers
1.2Addition of Whole Numbers and Perimeter
1.3Subtraction of Whole Numbers
1.4Rounding and Estimating
1.5Multiplication of Whole Numbers and Area
1.6Division of Whole Numbers
PRE: Operations on Whole Numbers
1.7Exponents, Square Roots, and the Order of Operations
1.8Problem Solving Strategies
Group Activity: Becoming a Successful Student
2Fractions and Mixed Numbers: Multiplication and Division

2.1Introduction to Fractions and Mixed Numbers
2.2Prime Numbers and Factorisations
2.3Simplifying Fractions to Lowest Terms
2.4Multiplication of Fractions and Applications
2.5Division of Fractions and Applications
PRE: Multiplication and Division of Fractions
2.6Multiplication and Division of Mixed Numbers
Group Activity: Cooking for Company
3Fractions and Mixed Numbers: Addition and Subtraction

3.1Addition and Subtraction of Like Fractions
3.2Least Common Multiple
3.3Addition and Subtraction of Unlike Fractions
3.4Addition and Subtractions of Mixed Numbers
PRE: Operations on Fractions and Mixed Numbers
3.5Order of Operations and Applications of Fractions and Mixed Numbers
Group Activity: Card Games with Fractions
4Decimals

4.1Decimal Notation and Rounding
4.2Addition and Subtraction of Decimals
4.3Multiplication of Decimals
4.4Division of Decimals
PRE: Operations on Decimals
4.5Fractions as Decimals
4.6Order of Operations and Applications of DecimalsGroup Activity: Purchasing from a Catalog
5Ratio and Proportion

5.1Ratios
5.2Rates and Unit Cost
5.3Proportions
PRE: Operations on Fractions versus Solving Proportions
5.4Applications of Proportions and Similar Figures
Group Activity: Investigating Probability
6Percents

6.1Percents and Their Fraction and Decimal Forms
6.2Fractions and Decimals and Their Percent Forms
6.3Percent Proportions and Applications
6.4Percent Equations and Applications
PRE: Percents
6.5Applications Involving Sales Tax, Commission, Discount, and Markup
6.6Percent Increase and Decrease
6.7Simple and Compound Interest
Group Activity: Credit Card Investment
7Measurement

7.1Converting US Customary Units of Length
7.2Converting US Customary Units of Time, Weight, and Capacity
7.3Metric Units of Length
7.4Metric Units of Mass and Capactiy and Medical Applications
PRE: US Customary and Metric Conversions
7.5Converting Between US Customary and Metric Units
Group Activity: Remodeling the Classroom
8Geometry

8.1Lines and Angles
8.2Triangles and the Pythagorean Theorem
8.3Quadrilaterals, Perimeter, and Area
8.4Circles, Circumference, and Area
PRE: Area, Perimeter, and Circumference
8.5Volume
Group Activity: Constructing a Golden Rectangle
9Introduction to Statistics

9.1Tables, Bar Graphs, Pictographs, and Lines Graphs
9.2Frequency Distributions and Histograms
9.3Circle Graphs
9.4Mean, Median, and Mode
9.5Introduction to Probability
Group Activity: Creating a Statistical Report
10Real Numbers

10.1Real Numbers and the Real Number Line
10.2Addition of Real Numbers
10.3Subtraction of Real Numbers
PRE: Addition and Subtraction of Real Numbers
10.4Multiplication and Division of Real Numbers
PRE: Operations on Real Numbers
10.5Order of Operations
Group Activity: Checking Weather Predictions
11Solving Equations

11.1Properties of Real Numbers
11.2Simplifying Expressions
11.3Addition and Subtraction Properties of Equality
11.4Multiplication and Division Properties of Equality
11.5Solving Equations with Multiple Steps
PRE: Equations versus Expressions
11.6Applications and Problem Solving
Group Activity: Deciphering a Coded Message
Additional Topics Appendix

A.1Energy and Power
A.2Scientific Notation
A.3Rectangular Coordinate System

Über Autor(innen)

O'Neill, Molly
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.

Hyde, Nancy
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.

Miller, Julie
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.