Math 3110 (Spring 2024) Homepage

News & Announcements

5/06
Done! Grades are in. If you would like to look over your exam, I'll keep them around for a couple years. Also, if you ever have any questions mathematical or otherwise, my door is open.

Stop by or email anytime - even just to say "Hi"!

4/29
Our Final Exam is Monday, May 6th 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.

Also, don't forget that we will have a review session this Thursday (May 2nd) from 10am until whenever (in our regular classroom).

4/19
Homework #10 [Source: (.tex)] is due Monday, April 29th.

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

4/12
Handouts:
Ring Definitions [Source: (.tex)]
Ring Examples [Source: (.tex)]

Homework #9 [Source: (.tex)] is due Friday, April 19th.

4/03
Test #3 is next Wednesday (April 10th). 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.

Once again, Brody is planning to hold a review session. This will be held on Tuesday, April 9th from noon until 1pm in Walker 308. [We will try to get it recorded for those who cannot attend.]

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 Mon., April 1st Wednesday, April 3rd.

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

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

3/18
Homework #7 [Source: (.tex)] is due Monday, March 25th.

3/01
Test #2 is next Friday (March 8th).

Once again Brody has kindly offered to hold a review session. This will be held on Thursday (March 7th) from 12pm to 1pm in Walker 314. [We will try to get this recorded.]

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)

2/28
Note: Don't forget about Homework #5 (due Friday) -- see below.

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

2/23
Homework #5 [Source: (.tex)] is due Friday, March 1st.

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

2/16
Homework #4 [Source: (.tex)] is due Friday, February 23rd.

Upcoming Handouts:
Even vs. Odd & More [Source: (.tex)]
Equivalence Relations and Partial Orders (.pdf) [Source: (.tex)]
    Companion video: Equiv. Rels., Partitions, and Partial Orders (75 mins)

2/07
Test #1 is Wednesday (February 14th).

My apprentice (Brody Miller) has kindly offered to hold a review session on Tuesday (February 13th) from 2pm to 4pm in Walker 308.

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 have not covered much of 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 what "cyclic" means.

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
2/02
Homework #3 [Source: (.tex)] is due Friday, February 9th.

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

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

1/26
Homework #2 [Source: (.tex)] is due Friday, February 2nd.
Note: I accidentally tranposed some symbols in problem 4 making it much sillier than intended. Also, my hint can be applied but is unneeded.

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

1/24
Handout:
Euclidean Algorithm and Basic Number Theory (.pdf) [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.

1/17
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)]

Homework #1 [Source: (.tex)] is due Friday, January 26th.

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