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Warning - the material here is my personal MAT 1100 "Core Algebra" notebook for 2011. No guarantee of any kind on anything that appears here.

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Classes: 10-1100   2009-07   2010-11   2012-12: NCGE  

<< PDF >>  
1t2c4w.pdf   Final-11-1100.pdf   FullNotebook-111207.pdf   TT-11-1100.pdf  

<< Notebook Pages >>

 PageCreated (UT)Last Modified (UT)
1 September 13, hours 1-2: Non Commutative Gaussian Elimination 2011-09-11 22:11:42 2012-12-09 20:26:16
2 September 15, hour 3: Non Commutative Gaussian Elimination, Homomorphisms, Kernels and Images 2010-09-15 22:53:22 2011-09-15 15:51:25
3 September 20 and 22, hours 4-6, Lectures by Selick 2011-09-23 16:17:51 2011-09-23 16:20:51
4 --- The Selick Week 2011-09-26 15:28:07 2011-09-26 16:57:06
5 September 27, hours 7-8: Isomorphism Theorems review, Jordan-Holder, Simplicity of $A_n$ 2011-09-26 03:58:01 2011-12-04 17:47:32
6 --- September 27 Scratch 2011-09-26 15:16:14 2011-09-27 11:19:44
7 October 4, hours 9-10: Simplicity of $A_n$, Group Actions 2011-10-02 11:10:43 2011-12-04 17:47:46
8 --- The Class Photo 2011-10-02 13:36:59 2011-10-25 15:16:22
9 --- The Simplicity of the Alternating Groups 2011-10-02 11:14:54 2014-09-18 22:38:23
10 October 6, hours 11-12: Groups Actions, Sylow I 2011-10-04 16:30:59 2011-10-26 13:24:43
11 October 11, hours 13-14: Finish Sylow, examples, semi-direct products 2011-10-07 20:40:46 2011-10-26 13:25:41
12 --- October 11 Scratch 2011-10-07 20:50:35 2011-10-07 21:04:01
13 October 13, hour 15: Semi-direct products 2011-10-11 21:51:28 2013-01-28 11:37:07
14 October 18, hours 16-17: Braids, some groups of small order, solvable groups, rings 2011-10-17 00:25:52 2011-10-19 03:32:42
15 October 20, hour 18: Solvable groups, rings 2011-10-19 03:30:25 2011-10-27 00:50:40
16 October 25, hours 19-20: Term Test 2011-10-23 19:21:28 2011-10-28 13:28:05
17 October 27, hour 21: Rings, ideals, isomorphism theorems, prime and maximal ideals 2011-10-25 15:22:56 2012-11-29 19:21:37
18 November 1, hours 22-23: Ideals, isomorphism theorems, prime and maximal ideals 2011-10-28 19:10:08 2011-11-02 01:59:03
19 November 3, hour 24: Prime and maximal ideals 2011-11-02 01:55:41 2011-11-10 00:49:37
20 --- Lims 2010-11-04 01:13:47 2011-10-30 22:31:27
21 November 10, hour 25: Primes, UFDs, One Theorem Two Corollaries Four Weeks 2011-11-04 13:22:12 2014-11-03 16:21:33
22 November 15, hours 26-27: Euclidean is PID is UFD 2011-11-14 21:53:18 2014-11-06 14:21:00
23 November 17, hour 28: The ring of modules 2011-11-16 13:55:06 2011-11-21 20:58:56
24 November 22, hours 29-30: Proof of the Structure Theorem - Existence 2011-11-20 17:22:52 2011-11-22 18:01:18
25 --- Nov 22 Preps 2011-11-20 17:41:00 2011-11-20 18:04:43
26 November 24, hour 31: The "ring" of modules 2011-11-23 03:59:26 2011-12-11 20:03:25
27 November 29, hours 32-33: Uniqueness 2011-11-24 17:08:24 2011-11-29 20:42:14
28 --- November 29 checkmarks 2011-11-24 17:08:24 2011-11-29 14:16:01
29 December 1, hour 34: Uniqueness, Corollaries 2011-11-30 23:47:05 2011-12-05 18:23:44
30 December 6, hours 35-36: The JCF, unboxing 2011-12-01 00:50:08 2011-12-07 14:48:02
31 --- December 6 Planning 2011-12-03 15:19:03 2011-12-05 18:10:22
32 --- December 6 Debts 2011-12-01 00:50:08 2011-12-05 19:09:28
33 --- December 6 Scratch 2011-12-03 16:04:58 2011-12-04 02:08:36
34 Post Mortem 2014-03-14 12:28:46 2014-03-14 12:30:01
(.one source file for all pages above)

<< Mathematica Notebooks >>

 Notebook (.pdf)Source (.nb)CreatedLast ModifiedSummary
1 111203-Calculator source 2015-12-17 20:16:44 2011-12-04 22:14:10  
2 ColouredTetrahedron source 2015-12-17 20:16:44 2011-12-11 21:18:13 A coloured tetrahedron for charm and beauty, and to explain how $S_4$ maps onto $S_3$.
3 JCF-MakingTestMatrices source 2015-12-17 20:16:44 2014-11-15 19:07:59 Making test matrices for JCF computations.
4 JCF-Monitor source 2015-12-17 20:16:44 2011-12-04 13:59:27 A progress monitor for JCF computations.
5 JCF-Program source 2015-12-17 20:16:44 2011-12-05 08:48:25 JCF tricks and programs.
6 JCF-Run source 2015-12-17 20:16:44 2014-11-15 19:06:54 Running the JCF programs.
7 NonCommutativeGaussianElimination source 2015-12-17 20:16:44 2011-12-04 14:06:47 Non Commutative Gaussian Ellimination @ MAT 1100 - as on handout + a printout of the filling table. See more at pensieve://2009-07/.
8 PermMaxOrder source 2015-12-17 20:16:44 2011-12-04 13:11:04 Computing the maximal order of a permutation in $S_n$.
9 Permutation Calculator source 2015-12-17 20:16:44 2011-09-15 11:05:19 A very simple - minded permutation calculator for MAT1100.

<< Links >>

  1. Studied 2011-09-04 12:37:53: 11-1100 - Drorbn.
  2. Studied 2011-10-28 11:54:19: [0803.2160] Landau's function for one million billions.
  3. Studied 2011-10-28 11:54:28: A000793 - OEIS (Landau's sequence).
  4. Studied 2011-12-09 12:27:43: Tyler Holden's Course Notes.

<< Images >>


11-1100-ClassPhoto.jpg

1t2c4w.png

ColouredTetrahedron.png

FinalRoughGradingScheme.png

Nov24Riddles.png

P1030078.JPG

<< Other Files >>

1t2c4w.tex   Final-11-1100.aux   Final-11-1100.synctex   Final-11-1100.tex   JCF-Program.m   makefile   TT-11-1100.aux   TT-11-1100.synctex   TT-11-1100.tex  


   <<  11-1100  >>

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[0803.2160] Landau's function for one million billions.URL   10-1100 - Shortcut.lnk   11-1100-ClassPhoto.jpg   11-1100 - Drorbn.URL   111203-Calculator.nb   1t2c4w.pdf   1t2c4w.png   1t2c4w.tex   2009-07 - Shortcut.lnk   2010-11 - Shortcut.lnk   A000793 - OEIS (Landau's sequence).URL   ColouredTetrahedron.nb   ColouredTetrahedron.png   Final-11-1100.aux   Final-11-1100.pdf   Final-11-1100.synctex   Final-11-1100.tex   FinalRoughGradingScheme.png   FullNotebook-111207.pdf   index.html   index.m   JCF-MakingTestMatrices.nb   JCF-Monitor.nb   JCF-Program.m   JCF-Program.nb   JCF-Run.nb   makefile   NCGE - Shortcut.lnk   NonCommutativeGaussianElimination.nb   Nov24Riddles.png   P1030078.JPG   PermMaxOrder.nb   Permutation Calculator.nb   TT-11-1100.aux   TT-11-1100.pdf   TT-11-1100.synctex   TT-11-1100.tex   Tyler Holden's Course Notes.URL