- The first midterm was be in class on
**Friday, October 26**. The voting was close, but having the exam on Friday won out via both Borda and by Instant Runoff. Friday is*almost*the Condorcet winner, beating wednesday and tying monday in head-to-head comparisons. However, monday would barely win in a plurality election (by one vote).The exam covered voting methods, weighted voting, and the various graph theory topics. You should focus on understanding how to apply the ideas, not on memorizing terminology. So that you don't need to worry about the names of things, I will give you this list of terms on the exam. You can use a calculator if you like.

Here is a sample midterm that you can use to study with, and here are the solutions.Here is a copy of one of the three versions of the exam.

- The second midterm was in class on
**Wednesday, November 28**. It covered material from chapters 9, 10, and the first part of 11. That is, Fibonacci numbers, the golden mean, gnomonic growth, linear and exponential growth, logistic growth, rigid motions, and some symmetry ideas. As before, you should focus on understanding how to apply the ideas, and not on memorizing terminology. I will give you a list of terms and basic formulae, like before. You can use a calculator if you like. Here is a sample midterm that you can use to study with, and the solutions are here.Here is a copy of one of the three versions of the exam.