Course Contents at a Glance

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

Module 1: Historical Counting Systems

  • Early Counting Systems
  • Positional Systems and Bases

Module 2: General Problem Solving

  • Proportional Relationships and a Bit of Geometry
  • Solving Problems With Math

Module 3: Measurement

  • US Units of Measurement
  • Systems and Scales of Measurement

Module 4: Graph Theory

  • Graph Theory Basics
  • Euler and Hamiltonian Paths and Circuits

Module 5: Fractals

  • Fractal Basics
  • Fractals Generated by Complex Numbers

Module 6: Set Theory and Logic

  • Set Theory Basics
  • Logic Basics
  • Analyzing Arguments With Logic

Module 7: Voting Theory

  • Preference Ballot Voting
  • Approval Voting

Module 8: Growth Models

  • Linear and Geometric Growth
  • Logarithms and Logistic Growth

Module 9: Finance

  • Simple and Compound Interest
  • Annuities and Loans

Module 10: Statistics: Collecting Data

  • Data Collection Basics
  • Sampling and Experimentation

Module 11: Statistics: Describing Data

  • Representing Data Graphically
  • Numerical Summaries of Data

Module: 12: Probability

  • Computing the Probability of an Event
  • Applications With Probability