Drorbn - User contributions [en]

15-344/Classnotes for Tuesday December 8

2015-12-16T18:39:58Z

Com138:

{{15-344/Navigation}}

Today's handouts were [[15-344/The Final Exam]] and {{Pensieve link|Classes/15-344-Combinatorics/nb/FibonacciFormula.pdf|FibonacciFormula.pdf}}.

{{15-344:Dror/Students Divider}}

== Scanned Lecture Notes for December 8 ==

<gallery>
Image:15-344 lecture note for Dec.8 .jpg|Page 1
Image:15-344 lecture note for Dec.8 2 .jpg|Page 2

</gallery>

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture23).PDF|MAT344 - Lecture23 (Dec 8)]]

15-344/Classnotes for Thursday December 3

2015-12-16T18:39:34Z

Com138:

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}
== Scanned Lecture Notes for December 3==

<gallery>
Image:15-344 Dec.3 001.jpg|Page 1
Image:15-344 Dec.3 002.jpg|Page 2

</gallery>

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture22).PDF|MAT344 - Lecture22 (Dec 3)]]

15-344/Classnotes for Tuesday December 1

2015-12-16T18:39:16Z

Com138:

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}
== Scanned Lecture Notes for December 1==

<gallery>
Image:15-344 Dec.1 001.jpg|Page 1
Image:15-344 Dec.1 002.jpg|Page 2
Image:15-344 Dec.1 003.jpg|Page 3

</gallery>

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture21).PDF|MAT344 - Lecture21 (Dec 1)]]

15-344/Classnotes for Tuesday December 1

2015-12-16T18:39:00Z

Com138:

15-344/Classnotes for Thursday November 26

2015-12-16T18:38:39Z

Com138:

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}

== Scanned Lecture Notes for November 26 ==
<gallery>
15-344_Nov_26_Lecture_(1).jpg | Page 1
15-344_Nov_26_Lecture_(2).jpg | Page 2
</gallery>

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture20).PDF|MAT344 - Lecture20 (Nov 26)]]

File:15-344(lecture23).PDF

2015-12-16T18:37:54Z

Com138:

File:15-344(lecture22).PDF

2015-12-16T18:37:48Z

Com138:

File:15-344(lecture21).PDF

2015-12-16T18:37:41Z

Com138:

File:15-344(lecture20).PDF

2015-12-16T18:37:23Z

Com138:

15-344/Classnotes for Tuesday December 8

2015-12-02T00:12:41Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Navigation

2015-12-02T00:12:16Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Thursday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Classnotes for Tuesday November 17|Tuesday]], [[15-344/Classnotes for Thursday November 19|Thursday]], [[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Classnotes for Tuesday November 24|Tuesday]], [[15-344/Classnotes for Thursday November 26|Thursday]], [[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Classnotes for Tuesday December 1|Tuesday]], [[15-344/Classnotes for Thursday December 3|Thursday]], [[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|[[15-344/Classnotes for Tuesday December 8|Tuesday]], Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Thursday December 3

2015-12-02T00:10:24Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Classnotes for Tuesday December 1

2015-12-02T00:10:13Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Navigation

2015-12-02T00:09:49Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Thursday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Classnotes for Tuesday November 17|Tuesday]], [[15-344/Classnotes for Thursday November 19|Thursday]], [[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Classnotes for Tuesday November 24|Tuesday]], [[15-344/Classnotes for Thursday November 26|Thursday]], [[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Classnotes for Tuesday December 1|Tuesday]], [[15-344/Classnotes for Thursday December 3|Thursday]], [[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Tuesday November 24

2015-11-24T22:22:30Z

Com138:

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture19).PDF|MAT344 - Lecture19 (Nov 24)]]

File:15-344(lecture19).PDF

2015-11-24T22:21:21Z

Com138:

15-344/Classnotes for Thursday November 26

2015-11-24T02:59:12Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Classnotes for Tuesday November 24

2015-11-24T02:59:02Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Navigation

2015-11-24T02:58:25Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Thursday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Classnotes for Tuesday November 17|Tuesday]], [[15-344/Classnotes for Thursday November 19|Thursday]], [[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Classnotes for Tuesday November 24|Tuesday]], [[15-344/Classnotes for Thursday November 26|Thursday]], [[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Thursday November 19

2015-11-19T21:26:43Z

Com138:

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture18).PDF|MAT344 - Lecture18 (Nov 19)]]

File:15-344(lecture18).PDF

2015-11-19T21:25:33Z

Com138:

15-344/Classnotes for Thursday November 19

2015-11-18T01:09:56Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Navigation

2015-11-18T01:09:27Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Thursday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Classnotes for Tuesday November 17|Tuesday]], [[15-344/Classnotes for Thursday November 19|Thursday]], [[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Tuesday November 17

2015-11-17T22:35:44Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}} == Handwritten Lecture Notes in PDF == MAT344 - Lecture17 (Nov 17)"

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture17).PDF|MAT344 - Lecture17 (Nov 17)]]

15-344/Navigation

2015-11-17T22:34:22Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Thursday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Classnotes for Tuesday November 17|Tuesday]], [[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Thursday November 12

2015-11-17T22:32:52Z

Com138:

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}

== Scanned Lecture Notes for November 12 ==

<gallery>
Image:15-344-Nov12-01.jpg|Page 1
Image:15-344-Nov12-02.jpg|Page 2

</gallery>

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture16).PDF|MAT344 - Lecture16 (Nov 12)]]

File:15-344(lecture17).PDF

2015-11-17T22:30:55Z

Com138:

File:15-344(lecture16).PDF

2015-11-17T22:30:45Z

Com138:

15-344/Classnotes for Thursday November 12

2015-11-12T12:53:14Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Classnotes for Thursday November 5

2015-11-12T12:53:01Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}} == Handwritten Lecture Notes in PDF == MAT344 - Lecture15 (Nov 5)"

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}
== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture15).PDF|MAT344 - Lecture15 (Nov 5)]]

15-344/Navigation

2015-11-12T12:52:48Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Thursday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Navigation

2015-11-12T12:49:12Z

Com138: Undo revision 15037 by Com138 (talk)

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Tuesday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Tuesday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Navigation

2015-11-12T12:47:46Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Thursday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Tuesday November 12

2015-11-12T12:46:12Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}}"

15-344/Navigation

2015-11-12T12:45:16Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Tuesday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Classnotes for Tuesday November 12|Thursday]], [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Thursday September 24

2015-11-07T15:43:07Z

Com138:

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}

== Scanned Lecture Notes for September 24 ==

<gallery>
Image:15-344-Sept24-1.jpg|Page 1
Image:15-344-Sept24-2.jpg|Page 2

</gallery>

== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture4).PDF|MAT344 - Lecture4 (Sep 24)]]

== Handwritten Turotial Notes in PDF ==
[[Media:15-344(tutorial2).PDF|MAT344 - Turotial2 (Sep 24)]]

15-344/Classnotes for Tuesday November 5

2015-11-07T15:40:52Z

Com138: Created page with "{{15-344/Navigation}} {{15-344:Dror/Students Divider}} == Handwritten Lecture Notes in PDF == MAT344 - Lecture15 (Nov 5)"

{{15-344/Navigation}}

{{15-344:Dror/Students Divider}}
== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture15).PDF|MAT344 - Lecture15 (Nov 5)]]

15-344/Navigation

2015-11-07T15:39:46Z

Com138:

<noinclude>Back to [[15-344]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center style="color: red;"
|colspan=3|'''Welcome to Math 344!'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 14
|[[15-344/About This Class|About This Class]], {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}}, [[15-344/Classnotes for Tuesday September 15|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Hour3.html|Hour 3 Handout}}, [[15-344/Classnotes for Thursday September 17|Thursday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial1.jpg|Tutorial 1 Handout}}
|- align=left
|align=center|2
|Sep 21
|[[15-344/Classnotes for Tuesday September 22|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-1.jpg|Tutorial 2 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/Tutorial2-2.jpg|Tutorial 2 Page 2}}, [[15-344/Classnotes for Thursday September 24|Thursday]], [[15-344/Homework Assignment 1|HW1]]
|- align=left
|align=center|3
|Sep 28
|[[15-344/Classnotes for Tuesday September 29|Tuesday]], [[15-344/Class Photo|Class Photo]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-1.jpg|Tutorial 3 Page 1}}, {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct1-2.jpg|Tutorial 3 Page 2}}, [[15-344/Classnotes for Thursday October 1|Thursday]], [[15-344/Homework Assignment 2|HW2]]
|- align=left
|align=center|4
|Oct 5
|[[15-344/Classnotes for Tuesday October 6|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/nb/Cubes.pdf|Drawing <math>n</math>-cubes}}, [[15-344/Classnotes for Thursday October 8|Thursday]], [[15-344/Homework Assignment 3|HW3]]
|- align=left
|align=center|5
|Oct 12
|[[15-344/Classnotes for Tuesday October 13|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct15.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 15|Thursday]], [[15-344/Homework Assignment 4|HW4]]
|- align=left
|align=center|6
|Oct 19
|[[15-344/Classnotes for Tuesday October 20|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialOct22.jpg|Tutorial Handout}}, [[15-344/Classnotes for Thursday October 22|Thursday]]
|- align=left
|align=center|7
|Oct 26
|[[15-344/Term Test|Term Test]] on Tuesday, {{Pensieve link|Classes/15-344-Combinatorics/Dijkstra.html|Dijkstra Handout}},[[15-344/Classnotes for Thursday October 29|Thursday]],[[15-344/Homework Assignment 5|HW5]]
|- align=left
|align=center|8
|Nov 2
|[[15-344/Classnotes for Tuesday November 3|Tuesday]], {{Pensieve link|Classes/15-344-Combinatorics/TutorialNov05.jpg|Tutorial Handout}}, [[15-344/Classnotes for Tuesday November 5|Thursday]], [[15-344/Homework Assignment 6|HW6]], Sunday November 8 is the last day to drop this class
|- align=left
|align=center|9
|Nov 9
|Monday-Tuesday is UofT Fall Break, [[15-344/Homework Assignment 7|HW7]]
|- align=left
|align=center|10
|Nov 16
|[[15-344/Homework Assignment 8|HW8]]
|- align=left
|align=center|11
|Nov 23
|[[15-344/Homework Assignment 9|HW9]]
|- align=left
|align=center|12
|Nov 30
|[[15-344/Homework Assignment 10|HW10]]
|- align=left
|align=center|13
|Dec 7
|Semester ends on Wednesday - no class Thursday
|- align=left
|align=center|F
|Dec 11-22
|[[15-344/The Final Exam|The Final Exam]]
|- align=left
|colspan=3 align=center|[[15-344/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:15-344-ClassPhoto.jpg|310px|Class Photo]] [[15-344/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:15-344-Splash.png|310px]]
|}

15-344/Classnotes for Tuesday September 15

2015-11-07T15:33:48Z

Com138:

{{15-344/Navigation}}

We mostly went over {{Pensieve link|Classes/15-344-Combinatorics/DayOne.html|Day One Handout}} today.

{{15-344:Dror/Students Divider}}

== Lecture Note for September 15 ==

'''DEFINITION 1''' '''Graph''' A graph <math>G = (V,E)</math> is a set <math>V = \{a,b,...\}</math> (usually finite, "vertices")
along with a set <math>E = \{(ab),(bc),(bd),...\}</math> ("edges") of unordered pairs of distinct elements of
<math>V</math>.

'''DEFINITION 2''' '''Incident''' If an edge <math>e = (ab)\in{E}</math>, we say that <math>e</math> is incident to <math>a</math>
''and'' <math>b</math>.

'''DEFINITION 3''' '''N-valent''' In a graph <math>G = (V,E)</math>, a vertex <math>u \in{V}</math> is called
bivalent if it is incident to precisely two edges and n-valent if incident to precisely n edges, where <math>n = 0,1,2,.. </math>.

'''DEFINITION 4''' '''Edge Cover''' An edge cover for graph <math>G = (V,E)</math> is a subset <math>C\subset{V}</math> such that every edge of <math>G</math> incident to at least one vertex in <math>C</math>.

'''DEFINITION 5''' '''Independent''' Let <math>G = (V,E)</math> be a graph. A subset <math>I\subset{V}</math> is called independent if whenever <math>a,b\in{I}</math>, then <math>(ab)\notin{E}</math>.

'''THEOREM 1''' Edge covers are complementary to independent sets. In other words, <math>C\subset{V}</math> is an edge cover if and only if
the complementary subset <math>V-C</math> is an independent set.

'''''Proof'''''
<math>(\rightarrow)</math> Assume <math>C</math> is an edge cover. I assert that <math>I = V-C</math> is independent.
Indeed, if <math>e=(ab)\in{E}</math>, then since <math>C</math> is an edge cover, either <math>a\in{C} \implies a\notin{I}</math> or
<math>b\in{C} \implies b\notin{I}</math>, which implies <math>e</math> does not connect any two elements of <math>I</math>.

<math>(\leftarrow)</math> Assume <math>I=V-C</math> is independent. Pick any edge <math>e = (ab)\in{E}</math>. As <math>I</math> is independent,
<math>(ab)</math> does not connect any two members of <math>I</math>. Hence, either <math>a\notin{I} \implies a\in{C}</math> or <math>b\notin{I} \implies b\in{C}</math>, which implies <math>e</math> is incident to an element of <math>C</math>. QED

'''DEFINITION 6''' '''Matching''' is a subset of edges of a graph where no two edges share a common vertex. A matching is said to be perfect if
all edges in a graph are matched.

== Scanned Lecture Notes for September 15 ==

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== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture1).PDF|MAT344 - Lecture1 (Sep 15)]]

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== Scanned Lecture Notes for September 29 ==

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== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture5).PDF|MAT344 - Lecture5 (Sep 29)]]

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== Scanned Lecture Notes for November 3 ==

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== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture14).PDF|MAT344 - Lecture14 (Nov 3)]]

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== Scanned Lecture Notes for October 29 ==

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[[Media:15-344(lecture13).PDF|MAT344 - Lecture13 (Oct 29)]]

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== Scanned Lecture Notes for November 3 ==

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== Handwritten Lecture Notes in PDF ==
[[Media:15-344(lecture14).PDF|MAT344 - Lecture14 (Nov 3)]]

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