14-1100/Classnotes for Monday September 15: Difference between revisions

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<span style="color: red;">The notes below are by the students and for the students. Hopefully they are useful, but they come with no guarantee of any kind.</span>
<span style="color: red;">The notes below are by the students and for the students. Hopefully they are useful, but they come with no guarantee of any kind.</span>


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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[[File:14-1100 Lec 3 board 1 small.jpg|200px|thumb|left|Lec 3 board 1]]

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Latest revision as of 13:14, 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

Class Notes

The notes below are by the students and for the students. Hopefully they are useful, but they come with no guarantee of any kind.

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