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File:MAT1100 Glossary of Terms.pdf

2014-12-14T16:35:23Z

Adam.wisniewski: Adam.wisniewski moved page File:MAT1100 Glossary of Terms.pdf to File:14-1100 MAT1100 Glossary of Terms.pdf

#REDIRECT [[File:14-1100 MAT1100 Glossary of Terms.pdf]]

File:14-1100 MAT1100 Glossary of Terms.pdf

2014-12-14T16:35:23Z

Adam.wisniewski: Adam.wisniewski moved page File:MAT1100 Glossary of Terms.pdf to File:14-1100 MAT1100 Glossary of Terms.pdf

14-1100/Navigation

2014-12-14T16:35:01Z

Adam.wisniewski:

<noinclude>Back to [[14-1100]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center
|colspan=3 style="color: red;"|'''Welcome to Math 1100!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 8
|[[14-1100/About This Class|About This Class]]; [[11-1100/Classnotes for Monday September 8|Monday]] - Non Commutative Gaussian Elimination; [[14-1100/Classnotes for Thursday September 11|Thursday]] - the category of groups, automorphisms and conjugations, images and kernels.
|- align=left
|align=center|2
|Sep 15
|[[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.
|- align=left
|align=center|3
|Sep 22
|[[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.
|- align=left
|align=center|4
|Sep 29
|[[14-1100/Classnotes for Monday September 29|Monday]] - Cauchy's Thm, Sylow 1; [[14-1100/Classnotes for Thursday October 2|Thursday]] - Sylow 2.
|- align=left
|align=center|5
|Oct 6
|[[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]
|- align=left
|align=center|6
|Oct 13
|No class Monday (Thanksgiving); [[14-1100/Classnotes for Thursday October 16|Thursday]] - groups of order 12 cont'd.
|- align=left
|align=center|7
|Oct 20
|[[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.
|- align=left
|align=center|8
|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}}
|- align=left
|align=center|9
|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]]
|- align=left
|align=center|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.
|- align=left
|align=center|11
|Nov 17
|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
|- align=left
|align=center|12
|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
|- align=left
|align=center|13
|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]]
|- align=left
|colspan=3 align=center|[[14-1100/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:14-1100-ClassPhoto.jpg|310px|Class Photo]] [[14-1100/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:10-1100-Splash.png|310px]] See {{Home Link|Talks/Cambridge-1301/|Non Commutative Gaussian Elimination}}
|}

14-1100/Glossary of terms

2014-12-14T16:34:44Z

Adam.wisniewski: Created page with "Here is a partial list of definitions from the course. The definitions are based on both lectures and external sources and their accuracy can’t be guaranteed. File:MAT1100..."

Here is a partial list of definitions from the course. The definitions are based on both lectures and external sources and their accuracy can’t be guaranteed. [[File:MAT1100 Glossary of Terms.pdf]]

File:14-1100 MAT1100 Glossary of Terms.pdf

2014-12-14T16:31:54Z

Adam.wisniewski:

File:HW1 Part 1.pdf

2014-12-14T16:23:39Z

Adam.wisniewski: Adam.wisniewski moved page File:HW1 Part 1.pdf to File:14-1100 HW1 Part 1.pdf

#REDIRECT [[File:14-1100 HW1 Part 1.pdf]]

File:14-1100 HW1 Part 1.pdf

2014-12-14T16:23:38Z

Adam.wisniewski: Adam.wisniewski moved page File:HW1 Part 1.pdf to File:14-1100 HW1 Part 1.pdf

HW 1 Solutions

2014-12-14T16:22:27Z

Adam.wisniewski: Adam.wisniewski moved page HW 1 Solutions to 14-1100/HW 1 Solutions

#REDIRECT [[14-1100/HW 1 Solutions]]

14-1100/HW 1 Solutions

2014-12-14T16:22:27Z

Adam.wisniewski: Adam.wisniewski moved page HW 1 Solutions to 14-1100/HW 1 Solutions

HW 1 solutions [[File:HW1.pdf]], [[File:HW1 Part 1.pdf]]

File:MT Q3.pdf

2014-12-14T16:21:20Z

Adam.wisniewski: Adam.wisniewski moved page File:MT Q3.pdf to File:14-1100 MT Q3.pdf

#REDIRECT [[File:14-1100 MT Q3.pdf]]

File:14-1100 MT Q3.pdf

2014-12-14T16:21:20Z

Adam.wisniewski: Adam.wisniewski moved page File:MT Q3.pdf to File:14-1100 MT Q3.pdf

File:MT Q2.pdf

2014-12-14T16:21:02Z

Adam.wisniewski: Adam.wisniewski moved page File:MT Q2.pdf to File:14-1100 MT Q2.pdf

#REDIRECT [[File:14-1100 MT Q2.pdf]]

File:14-1100 MT Q2.pdf

2014-12-14T16:21:02Z

Adam.wisniewski: Adam.wisniewski moved page File:MT Q2.pdf to File:14-1100 MT Q2.pdf

File:HW4 Q5.pdf

2014-12-14T16:20:51Z

Adam.wisniewski: Adam.wisniewski moved page File:HW4 Q5.pdf to File:14-1100 HW4 Q5.pdf

#REDIRECT [[File:14-1100 HW4 Q5.pdf]]

File:14-1100 HW4 Q5.pdf

2014-12-14T16:20:51Z

Adam.wisniewski: Adam.wisniewski moved page File:HW4 Q5.pdf to File:14-1100 HW4 Q5.pdf

File:HW4 Q4.pdf

2014-12-14T16:20:38Z

Adam.wisniewski: Adam.wisniewski moved page File:HW4 Q4.pdf to File:14-1100 HW4 Q4.pdf

#REDIRECT [[File:14-1100 HW4 Q4.pdf]]

File:14-1100 HW4 Q4.pdf

2014-12-14T16:20:38Z

Adam.wisniewski: Adam.wisniewski moved page File:HW4 Q4.pdf to File:14-1100 HW4 Q4.pdf

File:HW4 Q3.pdf

2014-12-14T16:19:41Z

Adam.wisniewski: Adam.wisniewski moved page File:HW4 Q3.pdf to File:14-1100 HW4 Q3.pdf

#REDIRECT [[File:14-1100 HW4 Q3.pdf]]

File:14-1100 HW4 Q3.pdf

2014-12-14T16:19:41Z

Adam.wisniewski: Adam.wisniewski moved page File:HW4 Q3.pdf to File:14-1100 HW4 Q3.pdf

14-1100/HW 1 Solutions

2014-12-11T17:26:14Z

Adam.wisniewski:

HW 1 solutions [[File:HW1.pdf]], [[File:HW1 Part 1.pdf]]

File:14-1100 HW1 Part 1.pdf

2014-12-11T17:25:25Z

Adam.wisniewski:

14-1100/Navigation

2014-12-11T17:13:34Z

Adam.wisniewski:

<noinclude>Back to [[14-1100]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center
|colspan=3 style="color: red;"|'''Welcome to Math 1100!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 8
|[[14-1100/About This Class|About This Class]]; [[11-1100/Classnotes for Monday September 8|Monday]] - Non Commutative Gaussian Elimination; [[14-1100/Classnotes for Thursday September 11|Thursday]] - the category of groups, automorphisms and conjugations, images and kernels.
|- align=left
|align=center|2
|Sep 15
|[[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.
|- align=left
|align=center|3
|Sep 22
|[[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.
|- align=left
|align=center|4
|Sep 29
|[[14-1100/Classnotes for Monday September 29|Monday]] - Cauchy's Thm, Sylow 1; [[14-1100/Classnotes for Thursday October 2|Thursday]] - Sylow 2.
|- align=left
|align=center|5
|Oct 6
|[[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]
|- align=left
|align=center|6
|Oct 13
|No class Monday (Thanksgiving); [[14-1100/Classnotes for Thursday October 16|Thursday]] - groups of order 12 cont'd.
|- align=left
|align=center|7
|Oct 20
|[[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.
|- align=left
|align=center|8
|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}}
|- align=left
|align=center|9
|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]]
|- align=left
|align=center|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.
|- align=left
|align=center|11
|Nov 17
|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
|- align=left
|align=center|12
|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
|- align=left
|align=center|13
|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"!
|- align=left
|colspan=3 align=center|[[14-1100/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:14-1100-ClassPhoto.jpg|310px|Class Photo]] [[14-1100/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:10-1100-Splash.png|310px]] See {{Home Link|Talks/Cambridge-1301/|Non Commutative Gaussian Elimination}}
|}

14-1100/Term Test Solutions

2014-12-11T17:13:21Z

Adam.wisniewski: Created page with "Some solutions: File:MT_Q2.pdf, File:MT_Q3.pdf"

Some solutions: [[File:MT_Q2.pdf]], [[File:MT_Q3.pdf]]

File:14-1100 MT Q3.pdf

2014-12-11T17:09:25Z

Adam.wisniewski:

File:14-1100 MT Q2.pdf

2014-12-11T17:08:53Z

Adam.wisniewski:

HW 4 Solutions

2014-12-11T17:05:10Z

Adam.wisniewski:

Some solutions: [[File:HW4_Q1.pdf]], [[File:HW4_Q2.pdf]], [[File:HW4_Q3.pdf]], [[File:HW4_Q4.pdf]], [[File:HW4_Q5.pdf]]

File:14-1100 HW4 Q5.pdf

2014-12-11T17:03:27Z

Adam.wisniewski:

File:14-1100 HW4 Q4.pdf

2014-12-11T17:02:59Z

Adam.wisniewski:

File:14-1100 HW4 Q3.pdf

2014-12-11T17:01:37Z

Adam.wisniewski: