Difference between revisions of "14-1100/Navigation"

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Revision as of 12:43, 1 December 2014

Back to 14-1100.

Welcome to Math 1100!
# 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 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.Domain\RightarrowPID, Thursday - Noetherian rings, PID\RightarrowUFD, 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 n \times X matrix A defines a f.g. module, 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 Wednesday is a "makeup Monday"! End-of-Course Schedule
Register of Good Deeds
Class Photo
Add your name / see who's in!
10-1100-Splash.png
See Non Commutative Gaussian Elimination