James G. Eberhart

PRACTICAL MATH FOR
LIBERAL ARTS STUDENTS

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ABOUT THE BOOK

This book is designed for the Quantitative and Qualitative Reasoning course at the University of Colorado-Colorado Springs. The course is one of several ways that students in the College of Letters, Arts & Sciences can meet their general studies mathematics requirement. This text is a set of skeletal notes for one section of the course. The basic mathematical principles are laid out, while their application to various problems is done in the blank spaces provided for student writing. Thus this book is not so much intended for individual study of mathematics, but rather as a convenient means of participation in the course.

ABOUT THE AUTHOR

James G. Eberhart received a PhD in chemistry from The Ohio State University in 1963, He was a technical staff member in the Materials Science Department of Sandia National Laboratories from 1963 to 1968. Dr. Eberhart was an associate professor of chemistry and the chair of the chemistry department of Aurora University from 1978 to 1982, and has been a professor of chemistry at the University of Colorado-Colorado Springs since 1982. His research has focused on the behavior of fluids, the explosive boiling of liquids, and on the application of mathematics to problems in chemistry.

ISBN 1-880930-14-5

Copyright 2003 by the author. Printed edition comb bound 8.5"x11", iii+129p. Downloadable .pdf file same, password protected. (Password available upon purchase.)

List price printed edition $20.00, $8 on downloaded .pdf file.

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CONTENTS

PART I: ARITHMETIC

  • Addition, Subtraction, Multiplication, and division of Integers
  • Fractions and Decimals
  • Addition, Subtraction, Multiplication, and Division of Fractions
  • Number Lore
  • Exponents and Roots
  • The Bases of Numbers
  • Scientific Notation
  • A Summary of Properties and Their Units
  • Unit Conversion
  • Arithmetic with Units

PART II: ALGEBRA AND EVERYDAY MATH

  • Algebraic Formulas
  • Rules for Arithmetic Operations
  • Solving Algebraic Equations
  • Ratio and Proportion
  • Rectangles and Right Triangles
  • Use of Percents
  • Practical Math Using Units
  • Data, Change, and Rates

PART II: ALGEBRA AND EVERYDAY MATH

  • Algebraic Formulas
  • Rules for Arithmetic Operations
  • Solving Algebraic Equations
  • Ratio and Proportion
  • Rectangles and Right Triangles
  • Use of Percents
  • Practical Math Using Units
  • Data, Change, and Rates

PART III: PROBABILITY, STATISTICS, AND RISKS

  • Probability
  • Statistics
  • Risks

 

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