Developmental 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 math from Clemson University. She has taught high school and college math for 30 years, and 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 recently earned a black belt in karate.

1. Whole numbers 1.1 Standard Notation; Order 1.2 Addition and Subtraction 1.3 Multiplication and Division; Rounding and Estimating 1.4 Solving Equations Mid-Chapter Review 1.5 Applications and Problem Solving Translating for Success 1.6 Exponential Notation and Order of Operations 1.7 Factorizations 1.8 Divisibility 1.9 Least Common Multiples Summary and Review Test 2. Fraction Notation 2.1 Fraction Notation and Simplifying 2.2 Multiplication and Division 2.3 Addition and Subtraction; Order Mid-Chapter Review 2.4 Mixed Numerals 2.5 Applications and Problem Solving Translating for Success 2.6 Order of Operations and Estimation Summary and Review Test 3. Decimal Notation 3.1 Decimal Notation, Order, and Rounding 3.2 Addition and Subtraction 3.3 Multiplication 3.4 Division Mid-Chapter Review 3.5 Converting from Fraction Notation to Decimal Notation 3.6 Estimating 3.7 Applications and Problem Solving Translating for Success Summary and Review Test 4. Percent Notation 4.1 Ratio and Proportion 4.2 Percent Notation 4.3 Percent Notation and Fraction Notation 4.4 Solving Percent Problems Using Percent Equations 4.5 Solving Percent Problems Using Proportions Mid-Chapter Review 4.6 Applications of Percent Translation for Success 4.7 Sales Tax, Commission, and Discount 4.8 Simple Interest and Compound Interest; Credit Cards Summary and Review Test 5. Data, Graphs, and Statistics 5.1 Averages, Medians, and Modes 5.2 Interpreting Data from Tables and Graphs Mid-Chapter Review 5.3 Interpreting and Drawing Bar Graphs and Line Graphs 5.4 Interpreting and Drawing Circle Graphs Translating for Success Summary and Review Test 6. Geometry 6.1 Basic Geometric Figures 6.2 Perimeter 6.3 Area 6.4 Circles Mid-Chapter Reviews 6.5 Volume and Surface Area 6.6 Relationships Between Angle Measures 6.7 Congruent Triangles and Properties of Parallelograms 6.8 Similar Triangles Translating for Success Summary and Review Test 7. Introduction to Real Numbers and Algebraic Expressions 7.1 Introduction to Algebra 7.2 The Real Numbers 7.3 Addition of Real Numbers 7.4 Subtraction of Real Numbers Mid-Chapter Review 7.5 Multiplication of Real Numbers 7.6 Division of Real Numbers 7.7 Properties of Real Numbers 7.8 Simplifying Expressions; Order of Operations Summary and Review Test 8. Solving Equations and Inequalities 8.1 Solving Equations: The Addition Principle 8.2 Solving Equations: The Multiplication Principle 8.3 Using the Principles Together 8.4 Formulas Mid-Chapter Review 8.5 Applications of Percent 8.6 Applications and Problem Solving Translating for Success 8.7 Solving Inequalities 8.8 Applications and Problem Solving with Inequalities Summary and Review Test 9. Graphs of Linear Equations 9.1 Graphs and Applications of Linear Equations 9.2 More with Graphing and Intercepts Visualizing for Success 9.3 Slope and Applications 9.4 Equations of Lines Mid-Chapter Review 9.5 Graphing Using the Slope and the y-Intercept 9.6 Parallel Lines and Perpendicular Lines 9.7 Graphing Inequalities in Two Variables Visualizing for Success Summary and Review Test 10. Polynomials: Operations 10.1 Integers as Exponents 10.2 Exponents and Scientific Notation 10.3 Introduction to Polynomials 10.4 Addition and Subtraction of Polynomials Mid-Chapter Review 10.5 Multiplication of Polynomials 10.6 Special Products Visualizing for Success 10.7 Operations with Polynomials in Several Variables 10.8 Division of Polynomials Summary and Review Test 11. Polynomials: Factoring 11.1 Introduction to Factoring 11.2 Factoring Trinomials of the Type x2 + bx + c 11.3 Factoring ax2 + bx + c, a <> 1: the FOIL Method 11.4 Factoring ax2 + bx + c, a <> 1: the ac-Method Mid-Chapter Review 11.5 Factoring Trinomial Squares and Differences of Squares 11.6 Factoring: A General Strategy 11.7 Solving Quadratic Equations by Factoring 11.8 Applications of Quadratic Equations Translating for Success Summary and Review Test 12. Rational Expressions and Equations 12.1 Multiplying and Simplifying Rational Expressions 12.2 Division and Reciprocals 12.3 Least Common Multiples and Denominators 12.4 Adding Rational Expressions 12.5 Subtracting Rational Expressions Mid-Chapter Review 12.6 Complex Rational Expressions 12.7 Solving Rational Equations 12.8 Applications Using Rational Equations and Proportions Translating for Success 12.9 Direct Variation and Inverse Variation Summary and Review Test 13. Systems of Equations 13.1 Systems of Equations in Two Variables 13.2 The Substitution Method 13.3 The Elimination Method Mid-Chapter Review 13.4 Applications and Problem Solving 13.5 Applications with Motion Translating for Success Summary and Review Test 14. Radical Expressions and Equations 14.1 Introduction to Radical Expressions 14.2 Multiplying and Simplifying with Radical Expressions 14.3 Quotients Involving Radical Expressions Mid-Chapter Review 14.4 Addition, Subtraction, and More Multiplication 14.5 Radical Equations 14.6 Applications with Right Triangles Translating for Success Summary and Review Test 15. Quadratic Equations 15.1 Introduction to Quadratic Equations 15.2 Solving Quadratic Equations by Completing the Square 15.3 The Quadratic Formula Mid-Chapter Review 15.4 Formulas 15.5 Applications and Problem Solving Translating for Success 15.6 Graphs for Quadratic Equations Visualizing for Success 15.7 Functions Summary and Review Test Appendixes A. Linear Measures: American Units and Metric Units B. Weight and Mass; Medical Applications C. Capacity; Medical Applications D. Time and Temperature E. Sets F. Factoring Sums or Differences of Cubes G. Finding Equations of Lines: Point-Slope Equation H. Equations Involving Absolute Value I. The Distance Formula and Midpoints J. Higher Roots, and Rational Numbers as Exponents K. Inequalities and Interval Notation L. Nonlinear Inequalities M. Systems of Linear Inequalities N. Probability O. The Complex Numbers Answers Guided Solutions Glossary Index