Mathematics/Theory of voting

[Mkeypaige]

Hi,
I'm not sure this is allowed but I'm desperate so I thought I would come to the experts My son is taking this WILD "math" class in college that is basically about voting theory. He needs a tutor. It's not a hard class but it isn't clicking, no tutor on ANY site can help, they say amongst other things this is "obscure, non-relavant etc..." I'm sure that's not true. As I said, I'm reaching out in desperation If this isn't allowed forgive me.
Below is what he needs to master below. Thanks in advance. My email is mkeypaige@gmail.com.

Ranked voting 1 2
1 Plurality system
2 Ranked choice voting
3 Condorcet’s method
4 Borda count
5 Majority criterion
6 Unanimity criterion
7 Condorcet Winner criterion
8 Monotonicity criterion
9 IIA criterion
10 Manipulability
11 Random dictator
12 Approval voting

Weighted voting
13 Dummies, dictators, & veto power
14 Shapley-Shubik power index
15 Banzhaf power index

Gerrymandering
16 Determine possible outcomes
17 Draw districts to achieve outcomes
18 Efficiency gap
19 Convex hull ratio
20 Isoperimetric quotient
Graph theory
21 Paths, degrees, connectedness
22 “Imagine a graph” and answer quest

[Toby Pereira]

@mkeypaige A lot of those topics have Wikipedia or Electowiki pages, which describe them quite well, and there are also YouTube videos which discuss a lot of them. Some of the later stuff I wouldn't even know what they are. But I'll give you some links.

Ranked voting - Wikipedia

1. Plurality system (also known as First Past the Post) - Wikipedia, CGP Grey video

2. Ranked Choice Voting (also known as Instant Runoff Voting, Alternative Vote among others): Wikipedia, CGP Grey video

3. Condorcet methods: Wikipedia, Carneades.org video

4. Borda Count: Wikipedia, Carneades.org video

5. Majority criterion: Wikipedia, Becky Moening video

6. Unanimity criterion: Wikipedia article on Pareto Efficiency, Eric Pacuit video

7. Condorcet winner criterion: Wikipedia, Carneades.org video

8. Monotonicity criterion: Electowiki article, Becky Moening video

9. IIA (Independence of Irrelevant Alternatives) criterion: Wikipedia, Carneades.org video

10. Manipulability: Wikipedia article on strategic voting, Katherine Heller video

11. Random dictator: Wikipedia article, Carneades.org video

12. Approval voting: Wikipedia, CGP Grey video

That's the first section covered. Let me know if this is useful at all and I can get some links for the others.