Fall 2024
Homework
Homework 1 consists of the following exercises. Due Monday September 2:
3.1, 3.4, 3.5, 3.7, 3.12, 3.13
4.1, 4.2 and 4.7.
5.1, 5.7, 5.11, 5.18, 5.23
6.1, 6.3, 6.6, 6.9 and 6.13.
7.1, 7.6, 7.10, 7.11, 7.13, 7.17.
Homework 1 Solutions.
Homework 2 consists of the following exercises. Due Monday September 9:
8.2, 8.4, 8.8, 8.10, 8.15.
9.2, 9.5, 9.7, 9.9, 9.11.
10.1, 10.4, 10.9, 10.12, 10.13.
11.1, 11.2, 11.4, 11.7.
12.1, 12.5, 12.9, 12.12, 12.21, 12.24, 12.30.
Homework 2 Solutions.
Solutions to 10.12 and 10.13.
Homework 3 consists of the following exercises. Due Monday September 23:
Read Sections 14, 15 and 16.
14.1, 14.3 (no need to prove here), 14.5, 14.6, 14.10, 14.17 (proofs required in 14.6 and 14.10).
15.1, 15.3 (no proof required here), 15.7, 15.8, 15.14, 15.15.
16.1, 16.10, 16.15.
Solutions.
Homework 4 consists of the following exercises. Due Monday October 7:
Read Sections 17 and 22.
17.3, 17.4, 17.5, 17.8, 17.11, 17.16, 17.21, 17.37.
22.4, 22.5, 22.6, 22.7.
Solutions. Note: The answer to 17.3.e is 0 not (7 choose 3).
Homework 5 consists of the following exercises. Due Wednesday October 16:
22.16, 22.17
20.4, 20.5, 20.9, 20.10, 20.13.
21.3, 21.7, 21.9.
Solutions.
Homework 6 consists of the following exercises. Due on Friday November 1:
24.1, 24.2, 24.5, 24.6, 24.8, 24.14, 24.16, 24.17, 24.20.
Solutions. (Note: Solutions to 24.6 have some errors. 24.6a should be "all the odd integers". 24.6f should be "[0,1]"
Homework 7 consists of the following exercises. Due on Monday November 11:
25.2, 25.6, 25.7, 25.9, 25.13,
26.7, 26.9, 26.10.
Also do 26.1 to practice.
Solutions.
Homework 8 consists of the following exercises. Due on Monday November 18:
Homework 8
Homework 8 Solutions.
Homework 9 consists of the following exercises. Due on Wednesday December 4:
54.1, 54.2, 54.3, 54.4, 54.8.
55.1, 55.2, 55.5, 55.7.
56.1, 56.5.
Suggested extra work:
After 54.4, think about the width of the poset defined in 54.3 for any n (Hint: Consider n even and n odd separately).
54.9 is a very good exercise to get more practice with posets.
56.7 is "alphabetical" ordering in disguise (this ordering has the more technical name of "lexicographic ordering").
Solutions.