# Daily SyllabusMath 217, Mathematics, Voting, & Democracy, Spring 2022

Be sure to check back, because this will be updated during the semester.

• PS due refers to Problem Sets uploaded to onCourse
• Check PCA refers to the Pre-Class Assignments, that consist of readings you should complete and/or videos you should watch before class that day.

Week Major Topics Tuesday
11:00 - 12:20
Thursday
11:00 - 12:20
1 Welcome to Math 217! 1/25 1/27 Course overview and logistics
2 Introduction to apportionment methods 2/1 Apportionment methods of Hamilton, Jefferson, and Webster

Check PCA
2/3 Divisor methods as step functions

Check PCA
3 The theory of apportionment 2/8 Hill's method

Check PCA

Check PCA
PS #1 due @ midnight
4 Finishing up apportionment
Congressional redistricting in the U.S.
2/15 Systematically evaluating apportionment methods 2/17 Basics of redistricting
Measures of compactness

Check PCA
5 Analyzing the 2010 redistricting process 2/22 Case studies from the 2010 cycle:
Wisconsin, Pennsylvania, North Carolina

Check PCA
2/24 Measures of partisan gerrymandering

Check PCA
State for presentation due
PS #2 due @ midnight
6 Measures of gerrymandering 3/1 More with the Efficiency Gap 3/3 The GEO metric

Check PCA
7 What's happening right now? 3/8 Student Presentations:
Pick a state!
3/10 Student Presentations:
Pick a state!
3/14 Spring Break 3/16 Spring Break
8 Examples from some other countries 3/22 Proportional Represenation Systems

Check PCA
3/24 Proportional Represenation Systems
9 Introduction to multicandidate elections 3/29 Elections with three candidates

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3/31 The representation triangle and procedure line

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10 A geometric framework for voting 4/5 A fundamental decomposition of ℝ6

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4/7 The pairwise space ℝ3

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PS #3 due @ midnight
11 Why do different voting methods give different outcomes?
Extending to higher dimensions
4/12 Creating paradoxical examples 4/14 Elections with four candidates
PS #4 due @ midnight
12 What is a "fair" election? 4/19 Plurality runoffs
"Ranked choice voting"
Statement of Arrow's Theorem

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4/21 Understanding what Arrow's Theorem says. . .and doesn't say
Topic for presentation due
13 Elections with more than one winner 4/26 Electing committees, City Councils, School Boards

Check PCA
4/28 Single transferable vote in Cambridge, MA
14 Group presentations 5/3 Student presentations 5/5 Student presentations
5/10 Finals Period 5/12 Final Assignment due @ midnight