Difference between revisions of "14-1100/Navigation"
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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, | + | |[[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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|align=center|4 | |align=center|4 | ||
|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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|align=center|5 | |align=center|5 | ||
|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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|align=center|6 | |align=center|6 | ||
|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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|align=center|9 | |align=center|9 | ||
|Nov 3 | |Nov 3 | ||
− | |[[14-1100/Homework Assignment 4|HW4]] | + | |[[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]] |
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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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|align=center|11 | |align=center|11 | ||
|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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|align=center|12 | |align=center|12 | ||
|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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|align=center|13 | |align=center|13 | ||
|Dec 1 | |Dec 1 | ||
− | |Wednesday is a "makeup Monday"! | + | |[[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]] |
+ | |- align=left | ||
+ | |align=center|F | ||
+ | |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 08:27, 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 | ||
Add your name / see who's in! | ||
See Non Commutative Gaussian Elimination |