Synopses & Reviews
Basic College Mathematics offers a refreshing approach to the traditional content of the course. Presented in worktext format, Basic College Mathematics focuses on basic number skills: operations and problem-solving with whole numbers, fractions, and decimals. Other topics include geometry, measurement, ratios, proportions, percents, and the real number system (with an introduction to algebra). The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.
About the Author
Julie Miller has been on the faculty in the School of Mathematics at Daytona State College for 20 years, where she has taught developmental and upper-level courses. Prior to her work at DSC, 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. Molly O'Neill is also 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 Mathamatics 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 in 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.
Table of Contents
Chapter 1: Whole Numbers
1.1 Introduction to Whole Numbers 1.2 Addition of Whole Numbers and Perimeter 1.3 Subtraction of Whole Numbers 1.4 Rounding and Estimating 1.5 Multiplication of Whole Numbers and Area 1.6 Division of Whole Numbers Problem Recognition Exercises – Operations on Whole Numbers 1.7 Exponents, Square Roots, and the Order of Operations 1.8 Problem-Solving Strategies Chapter 2: Fractions and Mixed Numbers: Multiplication and Division
2.1 Introduction to Fractions and Mixed Numbers 2.2 Prime Numbers and Factorizations 2.3 Simplifying Fractions to Lowest Terms 2.4 Multiplication of Fractions and Applications 2.5 Division of Fractions and Applications Problem Recognition Exercises – Multiplication and Division of Fractions 2.6 Multiplication and Division of Mixed Numbers Chapter 3: Fractions and Mixed Numbers: Addition and Subtraction
3.1 Addition and Subtraction of Like Fractions 3.2 Least Common Multiple and Equivalent Fractions 3.3 Addition and Subtraction of Unlike Fractions 3.4 Addition and Subtractions of Mixed Numbers Problem Recognition Exercises – Operations on Fractions and Mixed Numbers 3.5 Order of Operations and Applications of Fractions and Mixed Numbers Chapter 4: Decimals
4.1 Decimal Notation and Rounding 4.2 Addition and Subtraction of Decimals 4.3 Multiplication of Decimals 4.4 Division of Decimals Problem Recognition Exercises – Operations on Decimals 4.5 Fractions as Decimals 4.6 Order of Operations and Applications of Decimals Chapter 5: Ratio and Proportion
5.1 Ratios 5.2 Rates Problem Recognition Exercises – Ratios and Rates 5.3 Proportions 5.4 Applications of Proportions and Similar Figures Chapter 6: Percents
6.1 Percents and Their Fraction and Decimal Forms 6.2 Fractions and Decimals and Their Percent Forms 6.3 Percent Proportions and Applications 6.4 Percent Equations and Applications Problem Recognition Exercises -- Percents 6.5 Applications Involving Tax and Commission 6.6 Percent Increase and Decrease 6.7 Simple and Compound Interest Chapter 7: Measurement
7.1 Converting U.S. Customary Units of Length 7.2 Converting U.S. Customary Units of Time, Weight, and Capacity 7.3 Metric Units of Length 7.4 Metric Units of Mass and Capacity and Medical Applications Problem Recognition Exercises – Conversion of Units 7.5 Converting Between U.S. Customary and Metric Units Chapter 8: Geometry
8.1 Lines and Angles 8.2 Triangles and the Pythagorean Theorem 8.3 Quadrilaterals, Perimeter, and Area 8.4 Circles, Circumference, and Area Problem Recognition Exercises – Perimeter, Circumference, and Area 8.5 Volume Chapter 9: Introduction to Statistics
9.1 Tables, Bar Graphs, Pictographs, and Line Graphs 9.2 Frequency Distributions and Histograms 9.3 Circle Graphs Problem Recognition Exercises – Tables and Graphs 9.4 Mean, Median, and Mode 9.5 Introduction to Probability Chapter 10: Real Numbers 10.1 Real Numbers and the Real Number Line 10.2 Addition of Real Numbers 10.3 Subtraction of Real Numbers Problem Recognition Exercises – Addition and Subtraction of Real Numbers 10.4 Multiplication and Division of Real Numbers Problem Recognition Exercises – Multiplication and Division of Real Numbers 10.5 Order of Operations Chapter 11: Solving Equations
11.1 Properties of Real Numbers 11.2 Simplifying Expressions 11.3 Addition and Subtraction Properties of Equality 11.4 Multiplication and Division Properties of Equality 11.5 Solving Equations with Multiple Steps Problem Recognition Exercises – Linear Equations 11.6 Applications and Problem Solving Appendix
A.1 Energy and Power A.2 Scientific Notation A.3 Rectangular Coordinate System