MA 391:  Math and Democracy
Spring 2023, MWF 12-12:50
Whitehall Classroom Building 343-CB

Instructor:  Dave Jensen
Office:  POT 733
Office Hours:  MWF 1-2
Email:  dave.h.jensen@gmail.com

Syllabus

Schedule for the semester
Date Reading Assignment



Social Choice

1/9 No reading, first day of class
1/11 Top 5 Ways Plurality Voting Fails No Assignment
1/13 Mathematics and Politics, Sections 1.1-1.4, pp 1-13
1/16 NO CLASS - MARTIN LUTHER KING DAY

1/18 Advocates of various voting systems: instant runoff, range voting, approval voting Problem Set 1
1/20 Mathematics and Politics, Sections 1.7-1.9, pp 28-35
1/23 Ultrafilters and Social Choice
Yes-No Voting


1/25 Mathematics and Politics, Sections 2.1-2.2, pp 49-52
Essay 1
1/27 Mathematics and Politics, Section 2.3, pp 53-56

1/30 Mathematics and Politics, Section 2.4, pp 56-59

2/1 Mathematics and Politics, Sections 9.4-9.5, pp 275-285
Problem Set 2 
2/3 Mathematics and Politics, Sections 2.5-2.6, pp 59-63
2/6 Mathematics and Politics, Section 8.4, pp 255-260

Apportionment and The Electoral College

2/8 What is the Electoral College?, National Popular Vote Interstate Compact
Essay 2
2/10 The Case for Massively Expanding the US House of Representatives, Stuck at 435 Representatives?

2/13 US Presidential Election of 1876

2/15 Apportionment, Methods of Apportionment

2/17 Mathematics and Politics, Sections 5.1-5.4, pp 152-159

Gerrymandering

2/20Shape, Chapter 14, pp 340-362Problem Set 3
2/22 Shape, Chapter 14, pp 362-385 Essay 3
2/24 Geometry v Gerrymandering
2/27 Shape, Chapter 14, pp 386-410
3/1 Quantifying Gerrymandering in North Carolina Problem Set 4
3/3 Amicus Brief of Mathematicians, Law Professors, and Students
Fair Division and Stable Marriage

3/6 The Heart of Mathematics, Chapter 10.5, pp 827-837 (bonus: Dinosaur Comics number 1345)
3/8 Rental Harmony: Sperner's Lemma in Fair Division, pp 1-7 Essay 4
3/10 Rental Harmony: Sperner's Lemma in Fair Division, pp 7-14
3/13 NO CLASS - SPRING BREAK
3/15 NO CLASS - SPRING BREAK

3/17 NO CLASS - SPRING BREAK

3/20 The Stable Marriage Problem and School Choice (Introduction and The Stable Marriage Problem)
3/22 The Stable Marriage Problem and School Choice (Optimal Stable Matches) Problem Set 5
3/24 The Stable Marriage Problem and School Choice (Revealing One's True Preferences and Summary)
Misinformation

3/27 Linear Algebra in a Nutshell
3/29 Directed Graphs - Transition Matrices Essay 5
3/31 Page Rank Algorithms - The Mathematics of Google Search
4/3 The Mathematics of Misinformation, pp 1707-1709
4/5 The Mathematics of Misinformation, pp 1709-1712 Problem Set 6
4/7 The Mathematics of Misinformation, pp 1712-1715
Models and Algorithms

4/10Weapons of Math Destruction, Chapter 1, pp 15-31
4/12 Weapons of Math Destruction, Chapter 3, pp 68-83 Essay 6
4/14 No Reading

4/17 No Reading

4/19 Weapons of Math Destruction, Chapter 5, pp 84-104 No Assignment
4/21 Weapons of Math Destruction, Chapter 6, pp 105-122
4/24 Weapons of Math Destruction, Chapter 8, pp 141-160
4/26 No Reading
Essay 7