Basic College Mathematics

About our authors Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis (IUPUI) 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. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." He also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 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 (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with 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 is a PhD candidate 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 Applications
Preface



Whole Numbers

1.1 Standard Notation
1.2 Addition
1.3 Subtraction
1.4 Multiplication
1.5 Division

Mid-Chapter Review


1.6 Rounding and Estimating; Order
1.7 Solving Equations
1.8 Applications and Problem Solving

Translating for Success


1.9 Exponential Notation and Order of Operations
Summary and Review
Test


Fraction Notation: Multiplication and Division

2.1 Factorizations
2.2 Divisibility
2.3 Fractions and Fraction Notation
2.4 Multiplication and Applications
2.5 Simplifying

Mid-Chapter Review


2.6 Multiplying, Simplifying, and Applications
2.7 Division and Applications
Translating for Success
Summary and Review
Test


Fraction Notation and Mixed Numerals

3.1 Least Common Multiples
3.2 Addition and Applications
3.3 Subtraction, Order, and Applications

Translating for Success


3.4 Mixed Numerals

Mid-Chapter Review


3.5 Addition and Subtraction Using Mixed Numerals; Applications
3.6 Multiplication and Division Using Mixed Numerals; Applications

Translating for Success


3.7 Order of Operations, Complex Fractions, and Estimation
Summary and Review
Test
Cumulative Review


Decimal Notation

4.1 Decimal Notation, Order, and Rounding
4.2 Addition and Subtraction
4.3 Multiplication
4.4 Division

Mid-Chapter Review


4.5 Converting from Fraction Notation to Decimal Notation
4.6 Estimating
4.7 Applications and Problem Solving
Translating for Success
Summary and Review
Test
Cumulative Review


Ratio and Proportion

5.1 Introduction to Ratios
5.2 Rates and Unit Prices
5.3 Proportions

Mid-Chapter Review


5.4 Applications of Proportions

Translating for Success


5.5 Geometric Applications
Summary and Review
Test
Cumulative Review


Percent Notation

6.1 Percent Notation
6.2 Percent Notation and Fraction Notation
6.3 Solving Percent Problems Using Percent Equations
6.4 Solving Percent Problems Using Proportions

Mid-Chapter Review


6.5 Applications of Percent

Translating for Success


6.6 Sales Tax, Commission, and Discount
6.7 Simple Interest and Compound Interest; Credit Cards
Summary and Review
Test
Cumulative Review


Data, Graphs, and Statistics

7.1 Interpreting Data from Tables and Graphs
7.2 Interpreting and Drawing Bar Graphs and Line Graphs
7.3 Descriptive Statistics

Mid-Chapter Review


7.4 Frequency Distributions and Histograms
7.5 Probability
Translating for Success
Summary and Review
Test
Cumulative Review


Measurement

8.1 Linear Measures: American Units
8.2 Linear Measures: The Metric System
8.3 Converting Between American Units and Metric Units

Mid-Chapter Review


8.4 Weight and Mass; Medical Applications
8.5 Capacity: Medical Applications
8.6 Time and Temperature
8.7 Converting Units of Area
Translating for Success
Summary and Review
Test
Cumulative Review


Geometry

9.1 Perimeter
9.2 Area
9.3 Circles

Mid-Chapter Review


9.4 Volume
9.5 Angles and Triangles
9.6 Square Roots and the Pythagorean Theorem
Translating for Success
Summary and Review
Test
Cumulative Review


Real Numbers

10.1 The Real Numbers
10.2 Addition of Real Numbers
10.3 Subtraction of Real Numbers

Mid-Chapter Review


10.4 Multiplication of Real Numbers
10.5 Division of Real Numbers and Order of Operations
Translating for Success
Summary and Review
Test
Cumulative Review


Algebra: Solving Equations and Problems

11.1 Introduction to Algebra
11.2 Solving Equations: The Addition Principle
11.3 Solving Equations: The Multiplication Principle

Mid-Chapter Review


11.4 Using the Principles Together
11.5 Clearing Fractions and Decimals
11.6 Applications and Problem Solving
Translating for Success
Summary and Review
Test
Cumulative Review





Answers
Glossary
Photo Credits
Index