Contemporary Mathematics

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.

Senior Contributing Authors
• Donna Kirk, University of Wisconsin at Superior

Contributing Authors
• Barbara Boschmans, Northern Arizona University
• Brian Beaudrie, Northern Arizona University
• Matthew Cathey, Wofford College
• Valeree Falduto, Palm Beach State College
• Maureen Gerlofs, Texas State University
• Quin Hearn, Broward College
• Ian Walters, D’Youville College

Preface

Chapter 1 Sets
• Introduction
• 1.1 Basic Set Concepts
• 1.2 Subsets
• 1.3 Understanding Venn Diagrams
• 1.4 Set Operations with Two Sets
• 1.5 Set Operations with Three Sets
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 2 Logic
• Introduction
• 2.1 Statements and Quantifiers
• 2.2 Compound Statements
• 2.3 Constructing Truth Tables
• 2.4 Truth Tables for the Conditional and Biconditional
• 2.5 Equivalent Statements
• 2.6 De Morgan’s Laws
• 2.7 Logical Arguments
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Projects
o Chapter Review
o Chapter Test

Chapter 3 Real Number Systems and Number Theory
• Introduction
• 3.1 Prime and Composite Numbers
• 3.2 The Integers
• 3.3 Order of Operations
• 3.4 Rational Numbers
• 3.5 Irrational Numbers
• 3.6 Real Numbers
• 3.7 Clock Arithmetic
• 3.8 Exponents
• 3.9 Scientific Notation
• 3.10 Arithmetic Sequences
• 3.11 Geometric Sequences
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 4 Number Representation and Calculation
• Introduction
• 4.1 Hindu-Arabic Positional System
• 4.2 Early Numeration Systems
• 4.3 Converting with Base Systems
• 4.4 Addition and Subtraction in Base Systems
• 4.5 Multiplication and Division in Base Systems
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Projects
o Chapter Review
o Chapter Test

Chapter 5 Algebra
• Introduction
• 5.1 Algebraic Expressions
• 5.2 Linear Equations in One Variable with Applications
• 5.3 Linear Inequalities in One Variable with Applications
• 5.4 Ratios and Proportions
• 5.5 Graphing Linear Equations and Inequalities
• 5.6 Quadratic Equations In One Variable with Applications
• 5.7 Functions
• 5.8 Graphing Functions
• 5.9 Systems of Linear Equations in Two Variables
• 5.10 Systems of Linear Inequalities in Two Variables
• 5.11 Linear Programming
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 6 Money Management
• Introduction
• 6.1 Understanding Percent
• 6.2 Discounts, Markups, and Sales Tax
• 6.3 Simple Interest
• 6.4 Compound Interest
• 6.5 Making a Personal Budget
• 6.6 Methods of Savings
• 6.7 Investments
• 6.8 The Basics of Loans
• 6.9 Understanding Student Loans
• 6.10 Credit Cards
• 6.11 Buying or Leasing a Car
• 6.12 Renting and Homeownership
• 6.13 Income Tax
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 7 Probability
• Introduction
• 7.1 The Multiplication Rule for Counting
• 7.2 Permutations
• 7.3 Combinations
• 7.4 Tree Diagrams, Tables, and Outcomes
• 7.5 Basic Concepts of Probability
• 7.6 Probability with Permutations and Combinations
• 7.7 What Are the Odds?
• 7.8 The Addition Rule for Probability
• 7.9 Conditional Probability and the Multiplication Rule
• 7.10 The Binomial Distribution
• 7.11 Expected Value
Chapter Summary
o Key Terms
o Key Concepts
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 8 Statistics
• Introduction
• 8.1 Gathering and Organizing Data
• 8.2 Visualizing Data
• 8.3 Mean, Median and Mode
• 8.4 Range and Standard Deviation
• 8.5 Percentiles
• 8.6 The Normal Distribution
• 8.7 Applications of the Normal Distribution
• 8.8 Scatter Plots, Correlation, and Regression Lines
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 9 Metric Measurement
• Introduction
• 9.1 The Metric System
• 9.2 Measuring Area
• 9.3 Measuring Volume
• 9.4 Measuring Weight
• 9.5 Measuring Temperature
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 10 Geometry
• Introduction
• 10.1 Points, Lines, and Planes
• 10.2 Angles
• 10.3 Triangles
• 10.4 Polygons, Perimeter, and Circumference
• 10.5 Tessellations
• 10.6 Area
• 10.7 Volume and Surface Area
• 10.8 Right Triangle Trigonometry
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 11 Voting and Apportionment
• Introduction
• 11.1 Voting Methods
• 11.2 Fairness in Voting Methods
• 11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem
• 11.4 Apportionment Methods
• 11.5 Fairness in Apportionment Methods
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 12 Graph Theory
• Introduction
• 12.1 Graph Basics
• 12.2 Graph Structures
• 12.3 Comparing Graphs
• 12.4 Navigating Graphs
• 12.5 Euler Circuits
• 12.6 Euler Trails
• 12.7 Hamilton Cycles
• 12.8 Hamilton Paths
• 12.9 Traveling Salesperson Problem
• 12.10 Trees
Chapter Summary
o Key Terms
o Key Concepts
o Videos
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Chapter 13 Math and...
• Introduction
• 13.1 Math and Art
• 13.2 Math and the Environment
• 13.3 Math and Medicine
• 13.4 Math and Music
• 13.5 Math and Sports
Chapter Summary
o Key Terms
o Key Concepts
o Formula Review
o Projects
o Chapter Review
o Chapter Test

Appendix A Co-Req Appendix: Integer Powers of 10