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{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
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|colspan=3 style="color: red;"|'''Welcome to Math 1100!'''
|colspan=3 style="color: red;"|'''Welcome to Math 1100!'''<br/>(additions to this web site no longer count towards good deed points)
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!#
!#
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|Sep 15
|Sep 15
|[[14-1100/Classnotes for Monday September 15|Monday]] - coset spaces, isomorphisms theorems; [[14-1100/Classnotes for Thursday September 18|Thursday]] - simple groups, Jordan-Holder decomposition series.
|[[14-1100/Classnotes for Monday September 15|Monday]] - coset spaces, isomorphism theorems; [[14-1100/Classnotes for Thursday September 18|Thursday]] - simple groups, Jordan-Holder decomposition series.
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|Sep 22
|Sep 22
|[[14-1100/Classnotes for Monday September 22|Monday]], {{Pensieve Link|Classes/14-1100/The_Simplicity_of_the_Alternating_Groups.html|The Simplicity of the Alternating Groups}}, [[14-1100/Homework Assignment 1| HW1]], [[HW 1 Solutions]], [[14-1100/Class Photo|Class Photo]]; [[14-1100/Classnotes for Thursday September 25|Thursday]]
|[[14-1100/Classnotes for Monday September 22|Monday]] - alternating groups, group actions, {{Pensieve Link|Classes/14-1100/The_Simplicity_of_the_Alternating_Groups.html|The Simplicity of the Alternating Groups}}, [[14-1100/Homework Assignment 1| HW1]], [[HW 1 Solutions]], [[14-1100/Class Photo|Class Photo]]; [[14-1100/Classnotes for Thursday September 25|Thursday]] - group actions, Orbit-Stabilizer Thm, Class Equation.
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|Sep 29
|Sep 29
|[[14-1100/Classnotes for Monday September 29|Monday]]; [[14-1100/Classnotes for Thursday October 2|Thursday]]
|[[14-1100/Classnotes for Monday September 29|Monday]] - Cauchy's Thm, Sylow 1; [[14-1100/Classnotes for Thursday October 2|Thursday]] - Sylow 2.
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|Oct 6
|Oct 6
|[[14-1100/Classnotes for Monday October 6|Monday]]; [[14-1100/Homework Assignment 2|HW2]]; [[HW 2 Solutions]]; [[14-1100/Classnotes for Thursday October 9|Thursday]], [http://matematita.science.unitn.it/braids/index.html Braids]
|[[14-1100/Classnotes for Monday October 6|Monday]] - Sylow 3, semi-direct products, braids; [[14-1100/Homework Assignment 2|HW2]]; [[HW 2 Solutions]]; [[14-1100/Classnotes for Thursday October 9|Thursday]] - braids, groups of order 12, [http://matematita.science.unitn.it/braids/index.html Braids]
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|Oct 13
|Oct 13
|No class Monday (Thanksgiving); [[14-1100/Classnotes for Thursday October 16|Thursday]]
|No class Monday (Thanksgiving); [[14-1100/Classnotes for Thursday October 16|Thursday]] - groups of order 12 cont'd.
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|Oct 20
|Oct 20
|[[14-1100/Term Test|Term Test]] on Monday, [[14-1100/Homework Assignment 3|HW3]]; [[14-1100/Classnotes for Thursday October 23|Thursday]] - solvable groups, rings: defn's & examples.
|[[14-1100/Term Test|Term Test]]; [[14-1100/Term Test Solutions|Term Test Solutions]] on Monday, [[14-1100/Homework Assignment 3|HW3]]; [[HW 3 Solutions]]; [[14-1100/Classnotes for Thursday October 23|Thursday]] - solvable groups, rings: defn's & examples.
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|Oct 27
|Oct 27
|[[14-1100/Classnotes for Monday October 27|Monday]] - functors, Cayley-Hamilton Thm, ideals, iso thm 1; [[14-1100/Classnotes for Thursday October 30|Thursday]] - iso thms 2-4, integral domains, maximal ideals, {{Pensieve Link|Classes/14-1100/1t3c5w.pdf|One Theorem, Three Corollaries, Five Weeks}}
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|Nov 3
|Nov 3
|[[14-1100/Classnotes for Monday November 3|Monday]] - prime ideals, primes & irreducibles, UFD's, Euc.Domain<math>\Rightarrow</math>PID, [[14-1100/Classnotes for Thursday November 6|Thursday]] - Noetherian rings, PID<math>\Rightarrow</math>UFD, Euclidean Algorithm, modules: defn & examples, [[14-1100/Homework Assignment 4|HW4]], [[HW 4 Solutions]]
|[[14-1100/Homework Assignment 4|HW4]]
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|Nov 10
|Nov 10
|[[14-1100/Classnotes for Monday November 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, [[14-1100/Classnotes for Thursday November 13|Thursday]] - row & column reductions plus, existence part of Thm 1 in 1t3c5w handout.
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|Nov 17
|Nov 17
|Monday-Tuesday is UofT's Fall Break, [[14-1100/Homework Assignment 5|HW5]]
|Monday-Tuesday is UofT's Fall Break, [[14-1100/Homework Assignment 5|HW5]], [[14-1100/Classnotes for Thursday November 20|Thursday]] - 1t3c5w handout cont'd, JCF Tricks & Programs handout
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|Nov 24
|Nov 24
|[[14-1100/Classnotes for Monday November 24|Monday]] - JCF Tricks & Programs cont'd, tensor products, [[14-1100/Classnotes for Thursday November 27|Thursday]] - tensor products cont'd
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|Dec 1
|Dec 1
|[[14-1100/End-of-Course Schedule|End-of-Course Schedule]]; [[14-1100/Classnotes for Monday December 1|Monday]] - tensor products finale, extension/reduction of scalars, uniqueness part of Thm 1 in 1t3c5w, localization & fields of fractions; [[14-1100/Classnotes for Wednesday December 3|Wednesday]] is a "makeup Monday"!; [[Notes for Studying for the Final Exam]] [[14-1100/Glossary of terms|Glossary of terms]]
|Wednesday is a "makeup Monday"!
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|Dec 15
|[[14-1100/The Final Exam|The Final Exam]]
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|colspan=3 align=center|[[14-1100/Register of Good Deeds|Register of Good Deeds]]
|colspan=3 align=center|[[14-1100/Register of Good Deeds|Register of Good Deeds]]

Latest revision as of 07:27, 20 June 2015

Back to 14-1100.

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
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See Non Commutative Gaussian Elimination
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