The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents.

Module 1: Historical Counting Systems

• Why It Matters: Historical Counting Systems
• Review Topics for Success
• REVIEW: Whole numbers and place value
• REVIEW: Writing whole numbers with words
• Introduction to Early Counting Systems
• The Evolution of Counting and the Inca Counting System
• The Hindu-Arabic Number System and Roman Numerals
• Introduction to Positional systems and bases
• The Positional System and base 10
• Another Method for converting bases
• The Mayan Numeral System

Module 2: Number Theory

• Why It Matters: Number Theory
• Introduction to Classes of Real Numbers
• Classifying Real Numbers
• Sequences and Their Notations
• Arithmetic Sequences
• Geometric Sequences
• Fractal Basics
• Fractal Dimension

Module 3: Graph Theory

• Why It Matters: Graph Theory
• Elements of Graph Theory
• Shortest Path
• Introduction to Euler and Hamiltonian Paths and Circuits
• Euler Circuits
• Hamiltonian Circuits
• Putting It Together: Graph Theory

Module 4: Voting Theory

• Introduction to Preference Ballot Voting
• Plurality Method
• Instant Runoff Voting
• Borda Count
• Copeland’s Method
• Which Method Is Fair?
• Introduction to Approval Voting
• Approval Voting
• Voting in America
• Putting It Together: Voting Theory

Module 5: Growth Models

• REVIEW: Plotting Points on the Rectangular Coordinate System
• REVIEW: Writing Percents as Fractions and decimals
• REVIEW: Multi-Step Linear Equations
• Why It Matters: Growth Models
• Introduction to Linear and Geometric Growth
• Linear (Algebraic) Growth
• Exponential (Geometric) Growth
• Putting It Together: Growth Models

Module 6: Finance

• Why It Matters: Finance
• REVIEW: Using Decimals in Money Applications
• Simple Interest
• Compound Interest
• Introduction to Annuities and Loans
• Savings Annuities
• Payout Annuities
• Loans
• Which Formula to Use?
• Putting It Together: Finance