| Jan 4 |
Sample of problems to be studied in course Bijections (Section 1.1, 1.2 of notes) 12-fold way (Section 1.3 of notes) Review of weak induction (Sections 1.4 of notes) pdf from lecture |
| Jan 6 |
Review of strong induction (Section 1.5 of notes) Permutations (Bona 3.1, notes 2.1) Words (Bona 3.2, notes 2.2) pdf from lecture |
| Jan 11 | Choice problems (Bona 3.3, notes 2.3) pdf from lecture |
| Jan 13 | Compositions (Bona 5.1, notes 3.1) Set partitions (Bona 5.2, notes 3.2) pdf from lecture |
| Jan 18 | Integer partitions (Bona 5.3, notes 3.3) pdf from lecture |
| Jan 20 | Binomial theorem (Bona 4.1, notes 4.1) Multinomial theorem (Bona 4.2, notes 4.2) pdf from lecture |
| Jan 25 | Quiz 1 |
| Jan 27 | Formal power series (notes 5.1) pdf from lecture |
| Feb 1 | General binomial theorem (notes 5.2) Linear recurrence relations (Bona 8.1.1, notes 6.1) pdf from lecture |
| Feb 3 | Combinatorial interpretations for OGF (Bona 8.1.2, notes 6.2) Partition generating functions (notes 6.3) pdf from lecture |
| Feb 8 | Catalan numbers (Bona 8.1.2.1, Section 6.4 of notes) pdf from lecture |
| Feb 10 | Exponential generating functions (Bona 8.2.1, Section 7.1 of notes) Products of EGFs (Bona 8.2.2, Section 7.2 of notes) pdf from lecture |
| Feb 15 | Quiz 2 |
| Feb 17 | Compositions of EGFs (Bona 8.2.3, Section 7.3 of notes) pdf from lecture |
| Feb 22 | Cayley's enumeration of labeled trees (Section 7.4 of notes) Lagrange inversion formula (Section 7.5 of notes) pdf from lecture |
| Feb 24 | Inclusion-exclusion (Bona 7, Section 8.1 of notes) pdf from lecture |
| Mar 1 | Möbius inversion (Section 8.2 of notes) pdf from lecture |
| Mar 3 | Recreational math problems related to counting pdf from lecture |
| Mar 8 | Quiz 3 |
| Mar 10 | Review for final |
| Mar 15 | Final exam: 11:30AM-2:29PM |