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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.
Classes: 10-1100 2009-07 2010-11 2012-12: NCGE 1t2c4w.pdf Final-11-1100.pdf FullNotebook-111207.pdf TT-11-1100.pdf
<< Notebook Pages >>
| Page | Created (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 |
<< Mathematica Notebooks >>
| Notebook (.pdf) | Source (.nb) | Created | Last Modified | Summary | |
|---|---|---|---|---|---|
| 1 | 111203-Calculator | source | 2024-03-17 10:28:20 | 2011-12-04 21:14:10 | |
| 2 | ColouredTetrahedron | source | 2024-03-17 10:28:20 | 2011-12-11 20:18:13 | A coloured tetrahedron for charm and beauty, and to explain how $S_4$ maps onto $S_3$. |
| 3 | JCF-MakingTestMatrices | source | 2024-03-17 10:28:20 | 2014-11-15 18:07:59 | Making test matrices for JCF computations. |
| 4 | JCF-Monitor | source | 2024-03-17 10:28:20 | 2011-12-04 12:59:27 | A progress monitor for JCF computations. |
| 5 | JCF-Program | source | 2024-03-17 10:28:20 | 2011-12-05 07:48:25 | JCF tricks and programs. |
| 6 | JCF-Run | source | 2024-03-17 10:28:20 | 2014-11-15 18:06:54 | Running the JCF programs. |
| 7 | NonCommutativeGaussianElimination | source | 2024-03-17 10:28:20 | 2011-12-04 13:06:47 | Non Commutative Gaussian Ellimination @ MAT 1100 - as on handout + a printout of the filling table. See more at pensieve://2009-07/. |
| 8 | PermMaxOrder | source | 2024-03-17 10:28:20 | 2011-12-04 12:11:04 | Computing the maximal order of a permutation in $S_n$. |
| 9 | Permutation Calculator | source | 2024-03-17 10:28:20 | 2011-09-15 10:05:19 | A very simple - minded permutation calculator for MAT1100. |
<< Links >>
- Studied 2011-09-04 11:37:53: 11-1100 - Drorbn.
- Studied 2011-10-28 10:54:19: [0803.2160] Landau's function for one million billions.
- Studied 2011-10-28 10:54:28: A000793 - OEIS (Landau's sequence).
- Studied 2011-12-09 11:27:43: Tyler Holden's Course Notes.
<< Images >>
