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Warning - the material here is my personal MAT 1100 "Core Algebra" notebook for 2010. No guarantee of any kind on anything that appears here.
1t2c4w.pdf TT-10-1100.pdf
<< Notebook Pages >>
| Page | Created (UT) | Last Modified (UT) | |
|---|---|---|---|
| 1 | Algebra I Preps | 2010-05-05 17:55:54 | 2010-09-20 03:31:21 |
| 2 | Dummit and Foote, Chapters 1-12 | 2010-07-29 23:23:46 | 2010-09-20 03:31:31 |
| 3 | Lang, Chapters I-IV | 2010-08-18 00:33:26 | 2010-09-20 03:31:40 |
| 4 | Selick's Notes | 2010-08-20 00:35:19 | 2010-09-20 03:31:46 |
| 5 | Study | 2010-07-30 23:39:25 | 2010-09-20 03:31:53 |
| 6 | Groups of Order pq | 2010-08-11 12:02:11 | 2010-11-09 14:37:25 |
| 7 | --- Sylow's Theorem | 2010-08-11 12:05:59 | 2010-11-09 14:37:25 |
| 8 | --- Cauchy's Theorem on Abelian Groups | 2010-08-11 12:20:19 | 2011-10-03 21:16:24 |
| 9 | Finitely Generated Abelian Groups | 2010-08-19 12:45:50 | 2010-11-09 14:37:25 |
| 10 | Modules over PID's | 2010-08-22 22:08:59 | 2010-11-09 15:19:27 |
| 11 | --- Modules of a PID - comments | 2010-11-14 16:49:54 | 2010-11-14 16:51:45 |
| 12 | --- Using Gaussian Elimination | 2010-11-13 14:41:19 | 2010-11-13 19:52:52 |
| 13 | --- Greg's way | 2010-11-13 19:51:30 | 2010-11-13 19:52:14 |
| 14 | Noetherian Rings and Modules | 2010-08-30 22:47:55 | 2010-11-09 14:37:25 |
| 15 | By-The-Week Plan | 2010-07-28 20:00:12 | 2010-12-16 17:29:30 |
| 16 | Conventions for Permutations | 2010-09-13 17:06:01 | 2010-09-20 03:32:12 |
| 17 | September 14, hours 1-2 - Non Commutative Gaussian Elimination | 2010-09-11 16:53:42 | 2010-09-20 03:32:27 |
| 18 | --- Scratch Page for September 14 | 2010-09-14 13:10:24 | 2010-11-09 14:37:55 |
| 19 | September 16, hour 3 - Non Commutative Gaussian Elimination, Homomorphisms, Kernels and Images | 2010-09-15 22:53:22 | 2010-09-20 03:32:46 |
| 20 | --- The Isomorphism Theorems, the Butterfly Lemma and Jordan-Holder | 2010-09-14 22:37:54 | 2010-10-14 13:27:39 |
| 21 | September 21, hours 4-5: Quotients and The First Isomorphism Theorem | 2010-09-20 13:42:16 | 2010-12-16 18:22:29 |
| 22 | September 23, hour 6: Isomorphism Theorems 2-4 | 2010-09-21 16:42:40 | 2010-09-23 15:05:43 |
| 23 | September 28, hours 7-8: The Butterfly and Jordan-Holder | 2010-09-21 16:42:40 | 2011-09-26 17:38:20 |
| 24 | September 30, hour 9: S_n and A_n | 2010-09-21 16:42:40 | 2010-09-30 16:23:30 |
| 25 | October 5, hours 10-11: A_n is Simple, G-Actions | 2010-09-30 16:19:35 | 2011-10-04 13:28:38 |
| 26 | October 7, hour 12: G-Actions, Sylow 0 | 2010-10-05 18:18:15 | 2011-10-04 13:44:38 |
| 27 | October 12, hours 13-14: The Sylow Theorems | 2010-10-07 16:02:51 | 2011-10-07 21:12:07 |
| 28 | October 14, hour 15: The Sylow Theorems, Semi-Direct Products | 2010-10-12 20:32:21 | 2011-10-07 21:13:10 |
| 29 | October 19, hours 16-17: Semi-Direct Products, braids | 2010-10-14 15:42:18 | 2010-10-25 13:09:42 |
| 30 | October 21, hour 18: Braids, Orders pq and 12, Solvable groups | 2010-10-19 12:52:47 | 2010-10-21 13:21:39 |
| 31 | October 26, hours 19-20: Term Test | 2010-10-20 20:22:13 | 2010-11-01 14:40:59 |
| 32 | October 28, hour 21: Left and right, Sylow apps, solvability | 2010-10-27 19:27:04 | 2010-10-28 15:51:24 |
| 33 | November 2, hours 22-23: Rings | 2010-10-28 15:51:33 | 2011-10-27 00:58:26 |
| 34 | November 4, hour 24: Maximal & Prime Ideals | 2010-11-03 18:35:19 | 2011-10-29 13:12:26 |
| 35 | --- Lims | 2010-11-04 01:13:47 | 2011-10-30 15:51:16 |
| 36 | November 11, hour 25: Prime ideals, primes | 2010-11-04 16:47:22 | 2011-10-30 22:35:10 |
| 37 | --- Planning Page for November 11 | 2010-11-07 22:16:02 | 2010-11-07 22:22:14 |
| 38 | November 16, hours 26-27: UFDs, Euc->PID->UFD | 2010-11-11 16:18:10 | 2011-11-10 00:46:52 |
| 39 | --- Planning Page for November 16 | 2010-11-15 21:58:31 | 2010-11-16 14:22:39 |
| 40 | November 18, hour 28: The ring of modules | 2010-11-17 19:05:06 | 2010-12-10 16:25:21 |
| 41 | November 23, hours 29-30: Existence part for modules over a PID, justice for tensor products | 2010-11-19 16:23:45 | 2010-12-11 17:30:43 |
| 42 | November 25, hour 31: Justice for tensor products, uniqueness part for modules over a PID | 2010-11-23 18:17:56 | 2011-11-29 01:20:43 |
| 43 | --- November 25 Scratch | 2010-11-25 02:44:36 | 2010-11-25 14:31:49 |
| 44 | November 30, hours 32-33: Uniqueness part for modules over a PID, applications | 2010-11-28 16:10:10 | 2011-11-29 01:20:35 |
| 45 | December 2, hour 34: The Jordan Canonical Form | 2010-12-01 19:37:16 | 2011-12-01 00:53:51 |
| 46 | --- Cayley-Hamilton | 2010-11-28 16:47:57 | 2010-12-01 20:43:11 |
| 47 | December 7, hours 35-36: Unboxing the Jordan Canonical Form | 2010-12-04 13:07:49 | 2010-12-07 02:38:33 |
| 48 | --- Boxing Day Handout, 1 | 2010-12-07 11:38:56 | 2010-12-07 18:18:25 |
| 49 | --- Boxing Day Handout, 2 | 2010-12-07 11:38:56 | 2010-12-07 18:18:03 |
| 50 | --- Boxing Day | 2010-12-04 17:59:39 | 2010-12-07 00:39:30 |
| 51 | --- Boxing Day Scratch | 2010-12-02 14:12:05 | 2010-12-07 14:07:38 |
<< Mathematica Notebooks >>
| Notebook (.pdf) | Source (.nb) | Created | Last Modified | Summary | |
|---|---|---|---|---|---|
| 1 | NonCommutativeGaussianElimination | source | 2024-03-17 10:28:19 | 2010-09-14 12:20:11 | Non Commutative Gaussian Ellimination @ MAT 1100 - as on handout + a printout of the filling table. See more at Dror Bar-Natan: Academic Pensieve: 2009-07. |
| 2 | PermMaxOrder | source | 2024-03-17 10:28:19 | 2010-10-20 19:45:16 | Computing the maximal order of a permutation in S_n. |
| 3 | Permutation Calculator | source | 2024-03-17 10:28:19 | 2010-09-14 12:09:24 | A very simple - minded permutation calculator for MAT1100. |
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