Fall 2021
Homework
Homework 1 consists of the following exercises. A quiz selecting 2 or 3 of these exercises will be given on Monday September 6:
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. A quiz selecting 2 or 3 of these exercises will be given on Wednesday September 15:
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. A quiz selecting 2 or 3 of these exercises will be given on Friday September 24:
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.
Homework 4 consists of the following exercises. A quiz selecting 2 or 3 of these exercises will be given on Friday October 15:
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 5 consists of the following exercises. A quiz selecting 2 or 3 of these exercises will be given on Friday October 22:
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. A quiz selecting 2 or 3 of these exercises will be given on Monday November 8:
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. A quiz selecting 2 or 3 of these exercises will be given on Monday November 15:
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. A quiz selecting 2 or 3 of these exercises will be given on Monday November 29:
Homework 8
Homework 8 Solutions.
Homework 9 consists of the following exercises. A quiz selecting 2 or 3 of these exercises will be given on Wednesday December 8:
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.