Homework: Reading and Problem Sets

Math 350, Sections 01,02, Spring 2025
Rob Benedetto


All section numbers are from Saracino, Abstract Algebra, a First Course, 2nd edition.

Videos may be found on the Math-350 moodle site.

This table will grow as the semester progresses and more problem sets are assigned.

All sets due at 11:59pm ET on their due dates.

(Think of that as 11:49pm, allowing at least 10 minutes to submit and tag problems on gradescope.)

Click here for more homework rules.

Reading and Problem Sets
Set Number Due Sections to Read Videos to Watch Problem List Handout Solutions
0 Wed,
Jan 29
-- -- Homework 0 N/A
1 Fri,
Jan 31
0, 1, 2 Video 1 (Sample Proof)
Video 2 (Induction)
Homework 1 Solutions to Homework 1
2 Tue,
Feb 4
2, 3 Video 3 (Proving G is a group)
Video 4 (Adding modulo n)
[Optional: Video 5 (One-sided Identities or Inverses)]
Homework 2 Solutions to Homework 2
3 Fri,
Feb 7
3, 4 Video 6 (Powers of Group Elements)
Video 7 (Greatest Common Divisors)
Homework 3 Solutions to Homework 3
4 Tue,
Feb 11
4 Video 8 (The Euclidean Algorithm)
[Optional: Video 9 (Proof of the Euclidean Algorithm)]
Homework 4 Solutions to Homework 4
5 Fri,
Feb 14
5 Video 10 (The mx+ny Theorem)
[Optional Video 11 (Another mx+ny Proof)]
Video 12 (Proof of the Order Theorem)
Homework 5 Solutions to Homework 5
6 Tue,
Feb 18
5-6 Video 13 (Subgroups of Cyclic Groups)
[Optional: Video 14 (Combining Infinitely Many Groups)]
Homework 6 Solutions to Homework 6
7 Fri,
Feb 21
6 Video 15 (Products of Cyclic Groups) Homework 7 Solutions to Homework 7
8 Tue,
Feb 25
7-8 [Optional: Video 16 (Sun Tzu's Theorem)]
[Optional: Video 17 (Rigorous Definition of Function)]
Homework 8 Solutions to Homework 8
9 Fri,
Feb 28
8-9 Video 18 (Cycle Notation Proof) Homework 9 Solutions to Homework 9
10 Tue,
Mar 11
8-9 [Optional: Video 19 (Even and Odd Permutations)]
Video 20 (The Equivalence Class Theorem)
Homework 10 Solutions to Homework 10
11 Fri,
Mar 14
9-10 [Optional: Video 21 (Generating Sets)]
Video 22 (Multiplication mod n is a Group)
Homework 11 Solutions to Homework 11
12 Tue,
Mar 25
10-11 Video 23 (The Class Equation)
[Optional: Video 24: Conjugacy Classes in Sn]
Homework 12 Solutions to Homework 12
13 Fri,
Mar 14
11 [Optional: Video 25 (Another Coset Multiplication Proof)]
Video 26 (Some Special Group Constructions)
Homework 13 Solutions to Homework 13
14 Tue,
Apr 1
11-12 [Optional: Video 27: Cauchy's Theorem for Abelian Groups] Homework 14 --
15 Fri,
Apr 4
12-13 [Optional: Video 28 (Cayley's Theorem)] Homework 15 --



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