Skip to content
CuraCourse
Log inGet started for free
Library
Cover of Contemporary Mathematics

Contemporary Mathematics

by Donna Kirk

Published by OpenStax

MathematicsCollege

Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.

Teach with this book. Sign up freeAlready have an account? Log in

Adopted pages stay linked to the book. Make your own copy of any page to change it for your class.

Attribution

Adapted from Contemporary Mathematics by Donna Kirk, published by OpenStax (Rice University) under CC BY-NC-SA 4.0 (https://creativecommons.org/licenses/by-nc-sa/4.0/). Access the original for free at https://openstax.org/details/books/contemporary-mathematics. Changes: converted to CuraCourse lessons, with interactive practice added.

Table of contents

132 pages in 15 modules. Sign up to read and adopt them.

  1. Preface1 page
    1. Preface
  2. 1Sets7 pages
    1. Introduction
    2. 1.1Basic Set Concepts
    3. 1.2Subsets
    4. 1.3Understanding Venn Diagrams
    5. 1.4Set Operations with Two Sets
    6. 1.5Set Operations with Three Sets
    7. Practice
  3. 2Logic9 pages
    1. Introduction
    2. 2.1Statements and Quantifiers
    3. 2.2Compound Statements
    4. 2.3Constructing Truth Tables
    5. 2.4Truth Tables for the Conditional and Biconditional
    6. 2.5Equivalent Statements
    7. 2.6De Morgan’s Laws
    8. 2.7Logical Arguments
    9. Practice
  4. 3Real Number Systems and Number Theory13 pages
    1. Introduction
    2. 3.1Prime and Composite Numbers
    3. 3.2The Integers
    4. 3.3Order of Operations
    5. 3.4Rational Numbers
    6. 3.5Irrational Numbers
    7. 3.6Real Numbers
    8. 3.7Clock Arithmetic
    9. 3.8Exponents
    10. 3.9Scientific Notation
    11. 3.10Arithmetic Sequences
    12. 3.11Geometric Sequences
    13. Practice
  5. 4Number Representation and Calculation7 pages
    1. Introduction
    2. 4.1Hindu-Arabic Positional System
    3. 4.2Early Numeration Systems
    4. 4.3Converting with Base Systems
    5. 4.4Addition and Subtraction in Base Systems
    6. 4.5Multiplication and Division in Base Systems
    7. Practice
  6. 5Algebra13 pages
    1. Introduction
    2. 5.1Algebraic Expressions
    3. 5.2Linear Equations in One Variable with Applications
    4. 5.3Linear Inequalities in One Variable with Applications
    5. 5.4Ratios and Proportions
    6. 5.5Graphing Linear Equations and Inequalities
    7. 5.6Quadratic Equations In One Variable with Applications
    8. 5.7Functions
    9. 5.8Graphing Functions
    10. 5.9Systems of Linear Equations in Two Variables
    11. 5.10Systems of Linear Inequalities in Two Variables
    12. 5.11Linear Programming
    13. Practice
  7. 6Money Management15 pages
    1. Introduction
    2. 6.1Understanding Percent
    3. 6.2Discounts, Markups, and Sales Tax
    4. 6.3Simple Interest
    5. 6.4Compound Interest
    6. 6.5Making a Personal Budget
    7. 6.6Methods of Savings
    8. 6.7Investments
    9. 6.8The Basics of Loans
    10. 6.9Understanding Student Loans
    11. 6.10Credit Cards
    12. 6.11Buying or Leasing a Car
    13. 6.12Renting and Homeownership
    14. 6.13Income Tax
    15. Practice
  8. 7Probability13 pages
    1. Introduction
    2. 7.1The Multiplication Rule for Counting
    3. 7.2Permutations
    4. 7.3Combinations
    5. 7.4Tree Diagrams, Tables, and Outcomes
    6. 7.5Basic Concepts of Probability
    7. 7.6Probability with Permutations and Combinations
    8. 7.7What Are the Odds?
    9. 7.8The Addition Rule for Probability
    10. 7.9Conditional Probability and the Multiplication Rule
    11. 7.10The Binomial Distribution
    12. 7.11Expected Value
    13. Practice
  9. 8Statistics10 pages
    1. Introduction
    2. 8.1Gathering and Organizing Data
    3. 8.2Visualizing Data
    4. 8.3Mean, Median and Mode
    5. 8.4Range and Standard Deviation
    6. 8.5Percentiles
    7. 8.6The Normal Distribution
    8. 8.7Applications of the Normal Distribution
    9. 8.8Scatter Plots, Correlation, and Regression Lines
    10. Practice
  10. 9Metric Measurement7 pages
    1. Introduction
    2. 9.1The Metric System
    3. 9.2Measuring Area
    4. 9.3Measuring Volume
    5. 9.4Measuring Weight
    6. 9.5Measuring Temperature
    7. Practice
  11. 10Geometry10 pages
    1. Introduction
    2. 10.1Points, Lines, and Planes
    3. 10.2Angles
    4. 10.3Triangles
    5. 10.4Polygons, Perimeter, and Circumference
    6. 10.5Tessellations
    7. 10.6Area
    8. 10.7Volume and Surface Area
    9. 10.8Right Triangle Trigonometry
    10. Practice
  12. 11Voting and Apportionment7 pages
    1. Introduction
    2. 11.1Voting Methods
    3. 11.2Fairness in Voting Methods
    4. 11.3Standard Divisors, Standard Quotas, and the Apportionment Problem
    5. 11.4Apportionment Methods
    6. 11.5Fairness in Apportionment Methods
    7. Practice
  13. 12Graph Theory12 pages
    1. Introduction
    2. 12.1Graph Basics
    3. 12.2Graph Structures
    4. 12.3Comparing Graphs
    5. 12.4Navigating Graphs
    6. 12.5Euler Circuits
    7. 12.6Euler Trails
    8. 12.7Hamilton Cycles
    9. 12.8Hamilton Paths
    10. 12.9Traveling Salesperson Problem
    11. 12.10Trees
    12. Practice
  14. 13Math and...7 pages
    1. Introduction
    2. 13.1Math and Art
    3. 13.2Math and the Environment
    4. 13.3Math and Medicine
    5. 13.4Math and Music
    6. 13.5Math and Sports
    7. Practice
  15. Appendices1 page
    1. ACo-Req Appendix: Integer Powers of 10