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1
Plurality
2
Instant Runoff Voting
3
Borda Count
4
Copeland's Method
5
Approval Voting
6
Introduction to Weighted Voting
7
Banzhaf Power Index
8
Shapley-Shubik Power Index
9
Divider-Chooser Method
10
Lone Divider
11
Last Diminisher
12
Sealed Bids
13
Graphs and Shortest Path
14
Euler Circuits
15
Hamiltonian Circuits
16
Spanning Trees
17
Linear Growth Models
18
Exponential Growth Models
19
Solving Exponentials for Time
20
Logistic Growth
21
Simple and Compound Interest
22
Annuities
23
Loans
24
Presenting Data Visually
25
Measures of Central Tendency
26
Measures of Variance
27
Introduction to Probability
28
Bayes Theorem
29
Counting
30
Expected Value
Description:
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.

Math in Society

Tyler Wallace
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