 |
|
||||
|
Section (topics) |
By (date) |
Read (chapter) |
Practice (just try!) |
Submit (as HW) |
|
|
Part 1
Counting and Combinatorial Proof |
9/29
10/1 10/3 |
1.1 Counting, Products
notes
1.2 Overcounts, Sums notes 1.3 Functions, Bijections notes |
Practice 1 solutions: 1A, 1B, 1C |
HW 1 Due Oct 6 solutions |
10/6
10/8 10/10 |
1.4 Relations, Equivalence
notes
1.5 Pigeonhole Principle notes 2.1 Counting Functions notes |
Practice 2 solutions: 2A, 2B, 2C |
HW 2 Due Oct 13 solutions |
10/13
10/15 10/17 |
2.2 Subsets, Multisets
notes
2.3 Set Partitions notes 2.4 Integer Partitions notes |
Practice 3 solutions |
HW 3 Due Oct 20 solutions |
| Exam One | 10/24 |
Covers material through 2.4 review/solutions |
9:00am |
FMH 419
solutions |
|
|
Part 2
Algebraic Tools and Number Families |
10/20 10/27 10/29 |
3.1 Inclusion/Exclusion
notes
3.3 Gen Functions I notes 3.4 Gen Functions II notes |
Practice 4 solutions |
HW 4 Due Nov 3 |
10/31 11/3 11/5 |
3.5 Recurrence Relations
3.6 Linear Recurrences 4.1 Bi/multinomial Coefs |
11/7 11/10 11/12 |
4.2 Fibonacci, Lucas
4.3 Stirling Numbers 4.4 Partition Numbers |
| Exam Two | 11/21 | Covers material through 4.4 | 9:00am | FMH 419 | |
|
Part 3
Partially Ordered Sets |
11/14 11/17 11/24 |
5.1 Polya Examples
5.2 Permutation Groups 5.3 Orbits and Fixed Points |
11/26 12/1 12/3 |
5.4 Use of the CFB Thm
5.5 Proof of the CFB Thm 5.6 Cycle Index, Polya Thm |
|
| Exam Three | 12/8 | Cumulative | 9:00-10:50 | FMH 419 | |
Back to my home page.