Math 36
Mathematics of voting
  • 4 method of determining winner
  • Fairness and Arrow's Impossibility Theorem
Weighted Voting Systems
  • Banzhaf Power Index 
  • Shapley-Shubik Power Index
Mathematics of Fair Division different methods of divide
Mathematics of Apportionment
  • Hamilton's Method
  • Jefferson's Method
  • Adam's method
  • Webster's Method
  • Balinski and Young's Impossibility Theorem 
Euler Graph
  • Euler's Theorems
  • Fleury's Algorithm 
Hamiltonian Graph
  • Traveling-Salesman Problem
  • Strategies for Solving TSPs
Mathematics of Networks
  • Minimum Spanning Trees
  • Kruskal's Algorithm 
Mathematics of Scheduling
  • Decreasing-Time Algorithm
  • Critical-Path Algorithm
Combinatorics
  • counting techniques
  • permutations
  • combinations