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The following list shows a summary of the topics covered in this course.
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 8QR: Modeling Growth
- Modeling Basics
- Modeling Linear and Exponential Growth
Module 9: Finance
- Simple and Compound Interest
- Annuities and Loans
Module 9QR: Financial Literacy
- Savings and Interest
- Annuity and Loan Calculators
Module 10: Statistics: Collecting Data
- Data Collection Basics
- Sampling and Experimentation
Module 11: Statistics: Describing Data
- Representing Data Graphically
- Numerical Summaries of Data
Module 11QR: Statistical Thinking
- Descriptive Statistics
- Data Exploration
Module: 12: Probability
- Computing the Probability of an Event
- Applications With Probability