Links to Homework Sets:
HW I || HW II
|| HW III || HW IIIa || HW IV || HW V || HW VI || HW VII || HW VIII || HW IX || HW X || HW XI || HW XII || HW XIII || HW XIV
Read for Wed. 9/5: Sect. 3.1 and Theorem 2.4.
Read for Fri. 9/7: Sect. 3.2.
Do for discussion on
Hand in Mon. 9/10: HW Ia: Ch. 3, ## 25, 31, 33(a).
Hand in Wed. 9/12: HW Ib: Ch. 3, ## 33(b), 34, 46.
Read for Tues. 9/11 (or Wed. 9/12): Sect. 3.3.
Do for discussion on Wed. 9/12:
Hand in Wed. 9/19: Ch. 3, ## 16 (write a solution in your own words with the book closed), 37, 39, 48.
Read for Wed. 9/19: Sects. 4.1-2.
Do for discussion on Wed. 9/19:
Hand in Fri. 9/21:
Alert: Don't forget to check the announcements page regularly for corrections. Some of them are essential.
Hand in Mon. 9/24:
Read for Mon. 9/24: Sects. 4.1-2 (if you didn't already) and Ch. 4, Exercise 19.
Do for discussion on Mon. 9/24:
Hand in Fri. 9/28:
Northeast lattice paths are defined in Ch. 4, #19.
Read for Mon., 9/26: Sects. 4.3, 5.1, 5.2.
Do not forget to check the announcements; they have valuable information.
Do for discussion on Tues., 10/2:
Do for discussion on Wed., 10/3:
Hand in Fri., 10/5:
Read for Mon., 10/8: Sect. 5.3.
Do for discussion on Tues., 10/9:
Do for discussion on Wed., 10/10:
Hand in Fri., 10/12:
Read for:
Do for discussion on Tues., 10/23:
Do for discussion on Wed., 10/24:
Hand in Fri., 10/26:
Reread Ch. 6. Pay special attention to the bijections in the combinatorial proofs.
Do for discussion on Tues., 10/30 Wed., 10/31:
Do for discussion on Wed., 11/1 Fri., 11/2:
Hand in Fri., 11/3 Mon., 11/5:
In problems F7–F8, Φ: ODD(2m) → EVEN(2m) is the bijection of Lemma 6.20 (page 122). In class I defined Θ = Φ−1: EVEN(2m) → ODD(2m) as the inverse bijection, which Bona calls the rule for "recovering π" from Φ(π) = σ in EVEN(2m) (upper middle of page 122).
Read Ch. 7 (all except Theorem 7.6).
Do for discussion on Tues., 11/6:
Do for discussion on Wed., 11/7:
Hand in Fri., 11/9:
Read Sects. 4.3, 8.1.1, 8.1.2.
Do for discussion on Tues., 11/13:
Do for discussion on Wed., 11/14:
Do for discussion on Fri., 11/16:
Hand in Fri., 11/16:
Read Sect. 8.1 (all).
Do for discussion on Mon., 11/19:
Read Sect. 8.2. Reread Sect. 8.1.2.1 (Catalan numbers) and the supplementary remark about the binomial series for negative integral powers.
Do for discussion on Tues., 11/27:
Do for discussion on Wed., 11/28:
Hand in Fri., 11/30:
Read Sects. 17.1–3. (See corrections.)
Do for discussion on Tues., 12/4:
Do for discussion on Wed., 12/5:
Hand in Fri., 12/7:
Read Sects. 17.4–5 and the write-up on affine and projective planes and Latin squares.
Do for discussion on Tues., 12/11:
Do for discussion on Wed., 12/12:
Hand in Wed., 12/12: