Math 3340: Abstract Algebra
Prof. Allen Knutson
Grades: 70+ = A, 50-70 = B, 30-50 = C, 10-30 = D.
Review session was in Malott 406 (opposite the library), Thursday 1-3 PM.
Book: Beachy and Blair, 3rd edition.
Grading: 25% HW (due Thursdays, in a pile up front at
the beginning of class), 25% midterm on March 23),
50% final on
Mon, May 22 2:00 PM in Malott 406.
Here are some practice problems for the final, with which you
can see the range of topics. (Of course you should also review
the ones from the homework!) I may have gone a little overboard
but do at least read them, and come to the review sessions with
a list of ones you want to hear about.
The midterm, with answers, is here.
Grades: 70+ = A, 50-70 = B, 30-50 = C.
TA: Theodore Hui
OH: For me, Tuesday after class in 515 Malott. (It may take a
while to get there from class.)
You can also try the free-for-all on Mondays @12.
For Theodore, Tuesdays 3-5 PM, in 114 Malott.
As this is a 3000-level course, not everyone may come into the class
already knowing how to write and recognize proofs (and non-proofs),
but everyone should come out of it with these skills.
The principal prerequisites are some fluency with integer arithmetic
(e.g. congruences, and the fact that factorization into primes is unique,
even if you don't know how to prove that), and real familiarity
with linear algebra (e.g. you should get queasy when someone asserts
AB = BA without justification).
It's true in general math classes, but especially true at this level,
that they are language classes. Learning a language is hard,
and I am likely to use words in it (or more likely, notation) that I've
forgotten to define. Speak up and ask me what the notation means!
It's 106 times better that we (re)inforce the meaning
of some notation for a moment, than that you stew in confusion
until the next office hours. This is an important habit for math majors!
Answers to the homework questions are here
HW#1 due Thursday 2/2:
HW#2 due Thursday 2/9:
Hw#3 due Thursday 2/16:
HW#4 due Thursday 2/23:
HW#5 due Thursday 2/30:
MYSTERY: I've had the dates wrong by a week on the above homeworks
since the beginning of the semester... and noone noticed it, and everyone's
turned in homework on the "right" day! I'd be more sorry about that,
except it apparently didn't matter to anyone.
HW #6 due 3/9: [BB] 3.8 # 5,6,9,13,17.
Compute the sizes of the conjugacy classes in S6; make sure
the numbers add up to 6!.
HW #7 due 3/16:
HW #8 due 3/30:
HW #9 due 4/13:
HW #10 due 4/20:
HW #11 due 5/4:
HW #12 due Tuesday 5/9: