14-1100/Classnotes for Monday September 22: Difference between revisions

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A few of these photos are a bit blurry. If anyone has suggestions for how to take better photos, I'd be very happy to hear them! (I haven't been using flash because I believe it would disrupt the class.)
A few of these photos are a bit blurry. If anyone has suggestions for how to take better photos, I'd be very happy to hear them! (I haven't been using flash because I believe it would disrupt the class.)
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'''Here are Yvon's handwritten notes:'''
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Latest revision as of 13:16, 5 October 2014

DBN: Classes: 2014-15: 14-1100/Navigation
Welcome to Math 1100!
(additions to this web site no longer count towards good deed points)
# Week of... Notes and Links
1 Sep 8 About This Class; Monday - Non Commutative Gaussian Elimination; Thursday - the category of groups, automorphisms and conjugations, images and kernels.
2 Sep 15 Monday - coset spaces, isomorphism theorems; Thursday - simple groups, Jordan-Holder decomposition series.
3 Sep 22 Monday - alternating groups, group actions, The Simplicity of the Alternating Groups, HW1, HW 1 Solutions, Class Photo; Thursday - group actions, Orbit-Stabilizer Thm, Class Equation.
4 Sep 29 Monday - Cauchy's Thm, Sylow 1; Thursday - Sylow 2.
5 Oct 6 Monday - Sylow 3, semi-direct products, braids; HW2; HW 2 Solutions; Thursday - braids, groups of order 12, Braids
6 Oct 13 No class Monday (Thanksgiving); Thursday - groups of order 12 cont'd.
7 Oct 20 Term Test; Term Test Solutions on Monday, HW3; HW 3 Solutions; Thursday - solvable groups, rings: defn's & examples.
8 Oct 27 Monday - functors, Cayley-Hamilton Thm, ideals, iso thm 1; Thursday - iso thms 2-4, integral domains, maximal ideals, One Theorem, Three Corollaries, Five Weeks
9 Nov 3 Monday - prime ideals, primes & irreducibles, UFD's, Euc.DomainPID, Thursday - Noetherian rings, PIDUFD, Euclidean Algorithm, modules: defn & examples, HW4, HW 4 Solutions
10 Nov 10 Monday - R is a PID iff R has a D-H norm, R-modules, direct sums, every f.g. module is given by a presentation matrix, Thursday - row & column reductions plus, existence part of Thm 1 in 1t3c5w handout.
11 Nov 17 Monday-Tuesday is UofT's Fall Break, HW5, Thursday - 1t3c5w handout cont'd, JCF Tricks & Programs handout
12 Nov 24 Monday - JCF Tricks & Programs cont'd, tensor products, Thursday - tensor products cont'd
13 Dec 1 End-of-Course Schedule; Monday - tensor products finale, extension/reduction of scalars, uniqueness part of Thm 1 in 1t3c5w, localization & fields of fractions; Wednesday is a "makeup Monday"!; Notes for Studying for the Final Exam Glossary of terms
F Dec 15 The Final Exam
Register of Good Deeds
Class Photo
Add your name / see who's in!
10-1100-Splash.png
See Non Commutative Gaussian Elimination

See The Simplicity of the Alternating Groups.

Dror's notes above / Student's notes below

I've texted up the handout for proving the simplicity of An. Enjoy! File:Simplicity of An.pdf

A few of these photos are a bit blurry. If anyone has suggestions for how to take better photos, I'd be very happy to hear them! (I haven't been using flash because I believe it would disrupt the class.)

Lec 5 board 1
Lec 5 board 2
Lec 5 board 3
Lec 5 board 4
Lec 5 board 5
Lec 5 board 6
Lec 5 board 7
Lec 5 board 8
Lec 5 board 9
Lec 5 board 10
Lec 5 board 11
Lec 5 board 12
Lec 5 board 13
Lec 5 board 14

Here are Yvon's handwritten notes:

Lec 5 page 1
Lec 5 page 2
Lec 5 page 3
Lec 5 page 4
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