Explore a comprehensive 9-hour course covering various mathematical concepts applicable to society, including voting systems, fair division methods, graph theory, growth models, financial mathematics, statistics, and probability. Learn about different voting methods such as Plurality, Instant Runoff, and Approval Voting, as well as power indices in weighted voting systems. Discover fair division techniques like the Divider-Chooser Method and Last Diminisher. Delve into graph theory topics including Euler and Hamiltonian circuits, and spanning trees. Study linear, exponential, and logistic growth models, along with financial concepts such as compound interest, annuities, and loans. Gain insights into data presentation, measures of central tendency and variance, and probability concepts including Bayes Theorem and expected value.
Overview
Syllabus
Plurality.
Instant Runoff Voting.
Borda Count.
Copeland's Method.
Approval Voting.
Introduction to Weighted Voting.
Banzhaf Power Index.
Shapley-Shubik Power Index.
Divider-Chooser Method.
Lone Divider.
Last Diminisher.
Sealed Bids.
Graphs and Shortest Path.
Euler Circuits.
Hamiltonian Circuits.
Spanning Trees.
Linear Growth Models.
Exponential Growth Models.
Solving Exponentials for Time.
Logistic Growth.
Simple and Compound Interest.
Annuities.
Loans.
Presenting Data Visually.
Measures of Central Tendency.
Measures of Variance.
Introduction to Probability.
Bayes Theorem.
Counting.
Expected Value.
Taught by
Tyler Wallace
