Homepage of APM 2663
APM 2663, Fall 2023
Office Hours: By appointment.
Handout: See Moodle.
Errata List for the textbook: See Moodle.
Lectures (Updated November 17, 2023)
Sept. 7: An abridged version of 1.1-1.2, 1.3
Sept. 12: root 2 is irrational and related results.
Sept. 14: 1.3,2.1
Sept. 19: Technology evaluation, 2.2-2.3.
Sept. 21: 2.2-2.3,3.1.
Sept. 26: 3.1-3.2.
Sept. 28: 3.2.
Oct. 3: 3.2-3.3.
Oct. 5: part of 3.4, part of 4.1, abridged version of Chapter 4, Euclidean algorithm, gcd and related topics.
Oct. 10: Euclidean algorithm, gcd and related topics, a quick introduction of Principle of Inclusion and Exclusion, with more details given later in 7.4.
Oct. 12: Catch up.
Oct. 17: 5.3
Oct. 19: Quiz 1 (due at 9:00 am), Discussion of Quiz 1, Questions and Answers.
Oct. 24: 6.1.
Oct. 26: 6.1-6.2.
Oct. 31: Questions and Answers, 6.3
Nov. 2: Test 1.
Nov. 7: 6.3,7.1.
Nov. 9: 7.1-7,4.
Nov. 14: Catch up, 8.1, 8.2, 8.4, 8.5 (material may be presented in a different ordering).
Nov. 16: 8.1, 8.2, 8.4, 8.5 (material may be presented in a different ordering).
Nov. 21: Quiz 2 (due at 9:00 am), Discussion of Quiz 2, Q&A, 8.1, 8.2, 8.4, 8.5 (material may be presented in a different ordering).
Nov. 28: Test 2.
Nov 30: Discussion of Test 2, 8.1, 8.2, 8.4, 8.5 (material may be presented in a different ordering).
Dec. 5: 8.1, 8.2, 8.4, 8.5 (material may be presented in a different ordering).
Dec. 7: Q&A, 8.1, 8.2, 8.4, 8.5 (material may be presented in a different ordering).
The relevant exercises are NOT homework. However it is recommended that you work on at least some of them. These exercises do not include the most challenging exercises from the problem set in the text.
1.3: 1-17,19,20,21,24.
2.1: 1-26.
2.2: 1-15,21,22,24.
2.3: 1-11,13-17,23-24.
3.1: 1-26.
3.2: 1-16,18,28.
3.3: 1,17,19,20,22,24.
3.4: 28,35.
4.1: 7-10,16-17
4.3: 3-4, 8,11-12
5.3: 1-19.
6.1: 1-3,6-9,12-24.
6.2: 1-15,17-24.
6.3: 1,3,5-8,10-16,18.
7.1: 1-24.
7.4: 1-9,12-14.
8.1: 1-18.
8.2: 7-12,18,19,21.
8.4: 1-18.
8.5: 9-18.