MGF 1107

Faculty Resources

Course Contents at a Glance

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

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