Also, just because this class is over, don't feel like you can no longer ask me questions.
If you ever have a question (mathematical or otherwise), please stop by my office or send
me an email. I'm happy to help if I can.
Merry Christmas!
11/22
Class was moved online today due to snow - a weird ending to a weird semester.
Check out our videos page for today's lecture: "Ring Homomorphisms". Also, don't forget
about our last homework:
• Homework #10
[Source: (.tex)]
is due Monday, November 25th.
Our Final Exam is Monday, December 9th from 8am until 10:30am in our
regular classroom (WA 304).
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.
We will use our final day of class (Monday, Dec. 2nd) to review for the final exam.
We could have an additional review session if there is interest. I'll try to remember to ask
about this on Monday.
Don't forget:
• Homework #8 [Source: (.tex)]
is due Monday, November 4th.
Test #3 is WednesdayFriday (November 8th).
Sorry to move the date. I did not notice it was scheduled for the day after
election day. This is never a good day for a test. [There are too many distractions
the night before.] Hopefully, Friday works better.
While we will start ring theory on Monday, that material won't be on Test #3.
I plan to review on Wednesday.
Test #3 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.
We will have two homework assignments between now and Test #3. Since the timeline is still
a little compressed, I am posting both of them now. We are already past the material covered
in Homework #7 and will soon be covering Homework #8 material.
I hope you all are safe and doing ok. My family came through the
storm without any severe problems. We are very very blessed.
If you need any kind of assistance, do not hesitate to reach out
for help!
AppState has canceled classes up through our fall break. This means
that currently classes are not set to resume until Wednesday, October 16th
How do we go forward?
• I will be recording videos covering missed classes.
• Assignments are not due until after the break.
• Homework #6 will just be for practice. [I'll email an answer key.]
If you need additional time because of power/internet issues, please
reach out to me. We'll make this work the best we can.
"VACATION" REVIEW: Hurrication (0 out of 5 stars) - do not recommend.
Are you looking for a nice getaway? A vacation? Hurrication is not for you.
Consider a nicer location like the Siberian wilderness or the Arabian desert.
09/27
Note: Classes have been moved online due to heavy rains.
I will email a video link soon.
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 you should know 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.
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.