Welcome to Math 1100! (additions to this web site no longer count towards good deed points)

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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, JordanHolder 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, OrbitStabilizer Thm, Class Equation.

4

Sep 29

Monday  Cauchy's Thm, Sylow 1; Thursday  Sylow 2.

5

Oct 6

Monday  Sylow 3, semidirect 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, CayleyHamilton Thm, ideals, iso thm 1; Thursday  iso thms 24, integral domains, maximal ideals, One Theorem, Three Corollaries, Five Weeks

9

Nov 3

Monday  prime ideals, primes & irreducibles, UFD's, Euc.Domain$\Rightarrow$PID, Thursday  Noetherian rings, PID$\Rightarrow$UFD, Euclidean Algorithm, modules: defn & examples, HW4, HW 4 Solutions

10

Nov 10

Monday  R is a PID iff R has a DH norm, Rmodules, 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

MondayTuesday 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

EndofCourse 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

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See Non Commutative Gaussian Elimination


Important. The good deed points are extra, bonus, a treat. If you got some you should be happy. But if you got none, so what? You are still eligible to get an A+ in this class just going the normal routes.
User id

Deed or deeds

All contributions

Points

Adam.wisniewski

Last minute partial solutions set for HW1, HW4, TT; glossary of terms

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8

Anai

Blackboard shots of almost every class; posting of notes by Yvon.verberne

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25

Jqi

Class summary; scanned solution of one HW problem (all files misnamed)

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5

Malboiu



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Masoud88b



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Michaely.yu

Solution sets for HW3 (misnamed)

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see next

My

Last minute solution sets for HW3, HW4 (misnamed)

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7

Travis.russell



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Tselings

Typeset "simplicity of An", solution sets for HW1, HW2, HW3, HW4, "checklist for topics covered", 32pages "final exam notes", one external link (misnamed files and pages)

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25

Yvon.verberne

Photographed lecture notes for many classes

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25
