Math 3110 (Spring 2025) Homepage

News & Announcements

4/23
Upcoming:
• I'm gone this Friday - We'll have a video instead of in person class.
• Homework #10 (our last homework) is due Monday.
• We'll have a review session Thursday next week [details below].

Our Final Exam is Monday, May 5th from 8am until 10:30am in our regular classroom WA 314.

This exam will be cumulative. I will allow one page of notes (one side of one sheet of standard sized paper). Make it count. Fill out theorems, examples, etc. that might be helpful.

I have some old final exams posted here. They should give you an idea of the kinds of things I might ask.

I will hold a Review Session on Thursday, May 1st (i.e., reading day) at 11am in our regular classroom WA 314. I don't plan to do anything structured. I'll go over extra examples and answer questions. How long? It'll probably last an hour or 90 minutes. [I have to leave by 1pm so 2 hours max.]

4/17
Homework #10 [Source: (.tex)] is due Monday, April 28th.

Here is a revision template (.zip) [(.pdf)] to use in Overleaf.

4/09
Handouts:
• Ring Definitions [Source: (.tex)]
• Ring Examples [Source: (.tex)]

Homework #9 [Source: (.tex)] is due Wednesday, April 16th.

3/31
Don't forget that Homework #8 [Source: (.tex)] is due today (Monday, March 31st). Here is a revision template (.zip) [(.pdf)] to use in Overleaf.

Test #3 is next Monday (April 7th). It will cover chapters 7-11. This includes cosets, normal subgroups, quotient groups, homomorphisms, the first isomorphism theorem, direct products of groups, and the classification of finite abelian groups.

I plan to finish up new material today and Wednesday and then review for the test on Friday. As usual, old tests can be found here.

Relevant or somewhat relevant tests/questions...
  • Fall 2011 up to Spring 2022
    • Test #3: all of it
  • Spring 2022
    • Final Exam: 1a[just the addition table],2b,6a,8,9
  • Fall 2015
    • Final Exam: 1a,2a,6a,8,9,10
  • Spring 2015
    • Final Exam: 1abc[just the addition table in 1b],5b,7,8ab,9c
  • Fall 2011
    • Test 2: 5
  • Spring 2010
    • Test 2: 4cd,5bc
    • Test 3: 2,3
  • Fall 2009
    • Test 3: 2,3,5,6
    • Final Exam: 2a,5ab,7,8a
  • Spring 2009
    • Test 3: 2,4,5
    • Final Exam: 2,4bc,8

3/25
Homework #8 [Source: (.tex)] is due Monday, March 31st.

Here is a revision template (.zip) [(.pdf)] to use in Overleaf.

Handout (& Upcoming Handout):
• Direct Product Quotient Example [Source: (.tex)]
• Isomorphism Theorems [Source: (.tex)]

3/17
Homework #7 [Source: (.tex)] is due Monday, March 24th.

2/28
Don't forget about Homeworks 5 & 6:
• Homework #5 [Source: (.tex)] is due today!
  → revision template (.zip) [(.pdf)] to use in Overleaf.
•Homework #6 [Source: (.tex)] is due Wednesday, March 5th.

Test #2 is next Friday (March 7th).

Test #2 will cover Chapters 4, 5, & 6 whose main topics are cyclic groups, permutation groups, & isomorphisms.

Old tests can be found here.

Relevant or somewhat relevant tests/questions...
  • Spring 2015 up to Spring 2022
    • Test #2: all of it
  • Spring 2022
    • Final Exam: 2,4a
  • Fall 2015
    • Final Exam: 2bc,4a,10
  • Spring 2015
    • Final Exam: 2,4a
  • Fall 2013
    • Midterm: 2-5,7c,9,10
  • Fall 2011
    • Test #2: 1-4
  • Spring 2010
    • Test #2: 1,3,4b,5b
  • Fall 2009
    • Test #2: 3cd,4b,5,6
    • Final Exam: 1,3d,8bc
  • Spring 2009
    • Test #2: 3a,4,5
    • Final Exam: 2a,5,8a (ignore the kernel question)

2/26
Homework #6 [Source: (.tex)] is due Wednesday, March 5th.

2/21
Homework #5 [Source: (.tex)] is due Friday, February 28th

Here is a revision template (.zip) [(.pdf)] to use in Overleaf.

2/14
Homework #4 [Source: (.tex)] is due Friday, February 21st.

Upcoming Handout:
• Even vs. Odd & More [Source: (.tex)]

2/05
Test #1 is Wednesday (February 12th).

Test #1 will cover Chapters 0, 1, 2, 3, & part of Chapter 4.

We have covered the bulk of what is in Chapter 0, but I don't plan on asking questions directly about this material. The one specific tool you need from this chapter is the Extended Euclidean Algorithm.

All of Chapters 1, 2, and 3 are relevant.

We are just starting Chapter 4. The one specific thing I do want you to know from this chapter is how to draw the subgroup lattice for Z mod n (under addition mod n). You should also know how to find cyclic subgroups and you should know what "cyclic" means. [I plan to discuss this stuff on Friday.]

Overall, I plan to write a test very similar in style to recent Test #1s.

Old homework, suggested homework, notes, and the textbook are all good things to consider, but looking at old tests is probably the best way to study for Wednesday's test.

Old tests can be found here.

Relevant or somewhat relevant tests/questions...
  • Spring 2015 up to Spring 2022
    • Test #1: all of it
  • Fall 2013
    • Big Quiz #1: all of it
  • Fall 2011
    • Test #1: all of it
    • Test #2: 1a
  • Spring 2010
    • Test #1: all but 4a
    • Test #2: 1(ignore the last line with S4),2,4a,5a
  • Fall 2009
    • Test #1: all but 5
    • Test #2: 1-3,4a,5
  • Spring 2009
    • Test #1: all of it
    • Test #2: 1-4
    • Final Exam: 6
1/24
Homework #3 [Source: (.tex)] is due Friday, February 7th
      → by the beginning of class on Monday, February 10th.

Here is a revision template (.zip) [(.pdf)] to use in Overleaf.

Handout:
• ?Fun? Function Facts [Source: (.tex)]

1/24
Homework #2 [Source: (.tex)] is due Friday, January 31st
      → by the beginning of class on Monday, February 3rd.

Here is a revision template (.zip) [(.pdf)] to use in Overleaf.

1/22
Handout:
• Euclidean Algorithm and Basic Number Theory [Source: (.tex)]

I have some old videos posted here. The ones entitled "Divisbility and the Extended Euclidean Algorithm" (3 parts) cover this entire handout. However, we'll be focusing on pieces of it - not the whole thing.

1/15
Homework #1 [Source: (.tex)] is due Friday, January 24th.

1/13
In case you've never watched it...
A Finite Simple Group of Order 2 by the Klein Four Group.

Handout (to use in a future class):
• Examples of Groups Handout [Source: (.tex)]

1/05
The syllabus, tentative schedule, & asULearn have been updated.

Edition independent Suggested Homework [Source: (.zip)] posted.

If you have any questions specifically about this course, please feel free to contact Dr. Bill Cook at: cookwj@appstate.edu