This course covers various topics in mathematics applied to real-world scenarios. Students will learn about different voting methods, power indices, graph theory, growth models, financial mathematics, data visualization, probability, and counting. The course aims to develop critical thinking skills and apply mathematical concepts to practical situations. The teaching method includes lectures, examples, and problem-solving exercises. This course is suitable for individuals interested in understanding the role of mathematics in society and its applications in different fields.
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
