MyMathGuide for Basic College Mathematics

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp. Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball State University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate.

• Index of ApplicationsPreface Whole Numbers 1.1 Standard Notation1.2 Addition1.3 Subtraction1.4 Multiplication1.5 Division Mid-Chapter Review1.6 Rounding and Estimating; Order1.7 Solving Equations1.8 Applications and Problem Solving Translating for Success1.9 Exponential Notation and Order of OperationsSummary and ReviewTestFraction Notation: Multiplication and Division 2.1 Factorizations2.2 Divisibility2.3 Fractions and Fraction Notation2.4 Multiplication and Applications2.5 Simplifying Mid-Chapter Review2.6 Multiplying, Simplifying, and Applications2.7 Division and ApplicationsTranslating for SuccessSummary and ReviewTestFraction Notation and Mixed Numerals 3.1 Least Common Multiples3.2 Addition and Applications3.3 Subtraction, Order, and Applications Translating for Success3.4 Mixed Numerals Mid-Chapter Review3.5 Addition and Subtraction Using Mixed Numerals; Applications3.6 Multiplication and Division Using Mixed Numerals; Applications Translating for Success3.7 Order of Operations, Complex Fractions, and EstimationSummary and ReviewTestCumulative ReviewDecimal Notation 4.1 Decimal Notation, Order, and Rounding4.2 Addition and Subtraction4.3 Multiplication4.4 Division Mid-Chapter Review4.5 Converting from Fraction Notation to Decimal Notation4.6 Estimating4.7 Applications and Problem SolvingTranslating for SuccessSummary and ReviewTestCumulative ReviewRatio and Proportion 5.1 Introduction to Ratios5.2 Rates and Unit Prices5.3 Proportions Mid-Chapter Review5.4 Applications of Proportions Translating for Success5.5 Geometric ApplicationsSummary and ReviewTestCumulative ReviewPercent Notation 6.1 Percent Notation6.2 Percent Notation and Fraction Notation6.3 Solving Percent Problems Using Percent Equations6.4 Solving Percent Problems Using Proportions Mid-Chapter Review6.5 Applications of Percent Translating for Success6.6 Sales Tax, Commission, and Discount6.7 Simple Interest and Compound Interest; Credit CardsSummary and ReviewTestCumulative ReviewData, Graphs, and Statistics 7.1 Interpreting Data from Tables and Graphs7.2 Interpreting and Drawing Bar Graphs and Line Graphs7.3 Descriptive Statistics Mid-Chapter Review7.4 Frequency Distributions and Histograms7.5 ProbabilityTranslating for SuccessSummary and ReviewTestCumulative ReviewMeasurement 8.1 Linear Measures: American Units8.2 Linear Measures: The Metric System8.3 Converting Between American Units and Metric Units Mid-Chapter Review8.4 Weight and Mass; Medical Applications8.5 Capacity: Medical Applications8.6 Time and Temperature8.7 Converting Units of AreaTranslating for SuccessSummary and ReviewTestCumulative ReviewGeometry 9.1 Perimeter9.2 Area9.3 Circles Mid-Chapter Review9.4 Volume9.5 Angles and Triangles9.6 Square Roots and the Pythagorean TheoremTranslating for SuccessSummary and ReviewTestCumulative ReviewReal Numbers 10.1 The Real Numbers10.2 Addition of Real Numbers10.3 Subtraction of Real Numbers Mid-Chapter Review10.4 Multiplication of Real Numbers10.5 Division of Real Numbers and Order of OperationsTranslating for SuccessSummary and ReviewTestCumulative ReviewAlgebra: Solving Equations and Problems 11.1 Introduction to Algebra11.2 Solving Equations: The Addition Principle11.3 Solving Equations: The Multiplication Principle Mid-Chapter Review11.4 Using the Principles Together11.5 Clearing Fractions and Decimals11.6 Applications and Problem SolvingTranslating for SuccessSummary and ReviewTestCumulative Review AnswersGlossaryPhoto CreditsIndex