SES # | TOPICS | KEY DATES |
---|---|---|

1 | Pigeonhole Principle | |

2 | Induction, Elementary Counting | |

3 | Elementary Counting (concluded) | Problem Set 1 due |

4 | Binomial Theorem, Compositions | |

5 | Compositions (concluded), Integer Partitions | |

6 | Integer Partitions (concluded) | Problem Set 2 due |

7 | Set Partitions | |

8 | Permutations, Cycle Type | Problem Set 3 due |

9 | Permutations (continued), Stirling Numbers of the First Kind | |

10 | Permutations (concluded) | |

11 | The Sieve | Problem Set 4 due |

12 | The Sieve (continued), Generating Functions | |

13 | Generating Functions (continued) | |

14 | Generating Functions (concluded) | Problem Set 5 due |

15 | Catalan Numbers | |

16 | Midterm One–Hour Exam 1 (Chapters 1–7, omitting pp. 123–24) | |

17 | Partitions | Problem Set 6 due |

18 | Exponential Generating Functions | |

19 | Exponential Generating Functions (concluded) | Problem Set 7 due |

20 | Vertex Degree, Eulerian Walks | |

21 | Isomorphism, Hamiltonian Cycles | |

22 | Tournaments, Trees | Problem Set 8 due |

23 | Counting Trees | |

24 | Minimum Weight Spanning Trees | |

25 | Matrix-Tree Theorem | Problem Set 9 due |

26 | Matrix-Tree Theorem (concluded), Bipartite Graphs | |

27 | Bipartite Graphs (concluded) | |

28 | Matchings in Bipartite Graphs | |

29 | Midterm One-Hour Exam 2 (Chapters 8–10.2) | |

30 | Latin Rectangles, Konig-Egervary Theorem | Problem Set 10 due |

31 | Matchings in Bipartite Graphs (concluded) | |

32 | Chromatic Polynomials | |

33 | Planar Graphs | Problem Set 11 due |

34 | Polyhedra | |

35 | Polyhedra (concluded) | |

36 | Coloring Maps | |

37 | Ramsey Theory | Problem Set 12 due |

38 | A Probabilistic Proof | |

39 | Discussion of Final Exam, Answering Questions | |

40 | Final Exam (Chapters 1–12) |