Drorbn - User contributions [en]

12-267

2012-12-01T04:15:37Z

Jonathanrlove:

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==Advanced Ordinary Differential Equations==
===Department of Mathematics, University of Toronto, Fall 2012===

{{12-267/Crucial Information}}

===Text===
Boyce and DiPrima, [http://ca.wiley.com/WileyCDA/WileyTitle/productCd-EHEP002451.html Elementary Differential Equations and Boundary Value Problems] (current edition is 9th and 10th will be coming out shortly. Hopefully any late enough edition will do).

===Further Resources===

* [http://www.math.toronto.edu/undergrad/ Undergraduate Information] at the [http://www.math.toronto.edu/ UofT Math Department]

* [http://www.artsandscience.utoronto.ca/ofr/calendar/crs_mat.htm Undergraduate Course Descriptions].

* Vitali Kapovitch's 2007 classes: [http://www.math.toronto.edu/vtk/267/ Spring], [http://www.math.toronto.edu/vtk/267fall07/ Fall].

* Also previously taught by T. Bloom, C. Pugh, D. Remenik.

* My {{Pensieve Link|Classes/12-267/|12-267 notebook}}.

{{Template:12-267:Dror/Students Divider}}

[[User:Drorbn|Drorbn]] 06:36, 12 September 2012 (EDT): Material by [[User:Syjytg|Syjytg]] moved to [[12-267/Tuesday September 11 Notes]].

[http://imgur.com/a/OSx1U#0 Summary of techniques to solve differential equations ] [[User:Vsbdthrsh|Vsbdthrsh]]

[http://drorbn.net/index.php?title=12-267/Existence_And_Uniqueness_Theorem Fundamental Theorem and Proof from Lecture] [[User:Twine|Twine]]

[http://drorbn.net/index.php?title=12-267/Derivation_of_Euler-Lagrange Derivation of Euler-Lagrange from Lecture] [[User:Twine|Twine]]

[http://graphics.ethz.ch/teaching/former/vc_master_06/Downloads/viscomp-varcalc_6.pdf Useful PDF: proof of Euler-Lagrange equation, explanation, examples ] [[User:Vsbdthrsh|Vsbdthrsh]]

12-267 [http://math.hunter.cuny.edu/mbenders/cofv.pdf In-depth coverage of Calculus of Variations][[User:Simon1|Simon1]]

12-267 [http://highered.mcgraw-hill.com/sites/dl/free/007063419x/392340/Calculus_of_Variations.pdf A good summary of Calculus of Variations]
[[User:Simon1|Simon1]]

12-267 [http://imgur.com/a/1vy11#0 All class notes from September 10th to October 5th] [[User:Simon1|Simon1]]

12-267 [http://imgur.com/a/uLSlM Summary of Numerical Methods] [[User:Simon1|Simon1]]

[http://drorbn.net/index.php?title=Numerical_Methods Numerical Methods (wiki)] [[User:Twine|Twine]]

12-267 [http://imgur.com/a/tliYg Summary of Chapter 3 from the Textbook on Constant Coefficient Second Order ODEs] [[User:Simon1|Simon1]]

[http://drorbn.net/images/e/e6/Geometric_Interpretation_of_Lagrange_Multiplier.pdf Geometric Interpretation of Lagrange Multiplier] [[User:Mathstudent|Mathstudent]]

Past exams from [http://exams.library.utoronto.ca.myaccess.library.utoronto.ca/handle/exams/4429 December 2009] and [http://exams.library.utoronto.ca.myaccess.library.utoronto.ca/handle/exams/4429 December 2010] [[User:Twine|Twine]]

Handwritten notes by [[User:Ktnd3|Ktnd3]]:

* September: [[Media:Mat267_-_lecture_1(sep.10).PDF|10th]], [[Media:Mat267_-_lecture_2%28sep.11%29.PDF|11th]], [[Media:Mat267_-_lecture_3%28sep.14%29.PDF|14th]], [[Media:Mat267_-_lecture_4%28sep.17%29.PDF|17th]], [[Media:12-267%28lecture5%29.PDF|18th]], [[Media:12-267%28lecture6%29.PDF|21st]], [[Media:12-267%28lecture7%29.PDF|24th]], [[Media:12-267%28lecture8%29.PDF|25th]], [[Media:12-267%28lecture9%29.PDF|28th]]

* October: [[Media:12-267%28lecture10%29.PDF|1st]], [[Media:12-267%28lecture11%29.PDF|2nd]], [[Media:12-267%28lecture12%29.PDF|5th]], [[Media:12-267%28lecture13%29.PDF|9th]] [[Media:12-267%28lecture14%29.PDF|12th]]

[http://i.imgur.com/uTugV.jpg Quick guide: system of 1st order linear equations] [[User:Vsbdthrsh|Vsbdthrsh]]

Help of Inverse Matrix [http://mathworld.wolfram.com/MatrixInverse.html Matrix Inverse] [[User:Dongwoo.kang|Dongwoo.kang]]

12-267 [http://imgur.com/a/50sRR All class notes from October 5th to October 30th] [[User:Simon1|Simon1]]

[http://imgur.com/a/sZSYx#0 Quick guide: Power Series + ODE] [[User:Vsbdthrsh|Vsbdthrsh]]

[https://lh4.googleusercontent.com/-V1WnvvzXRlE/TxTGwl_BBjI/AAAAAAAAE9k/yVuy1zRmnWs/Gatos-cute-cute-32-800x500.jpg mirrors do actually flip top-to-bottom, depending on how you look at them] [[User:jonathanrlove|jonathanrlove]]

User:Jonathanrlove

2012-09-27T06:00:01Z

Jonathanrlove:

Second Year Math Specialist, president of the [http://utmu.ca/ UofT math union], and [http://www.imdb.com/name/nm3548465/ movie star].

My courses this semester (Fall 2012):

[http://www.artsandscience.utoronto.ca/ofr/calendar/crs_mat.htm#MAT257Y1 MAT257Y1]

[http://drorbn.net/index.php?title=12-267/About_This_Class MAT267H1]

[http://www.artsandscience.utoronto.ca/ofr/calendar/crs_mat.htm#MAT347Y1 MAT347Y1]

[http://www.utstat.toronto.edu/~olgac/sta257_2012/ STA257H1]

[http://www.artsandscience.utoronto.ca/ofr/calendar/crs_pol.htm#POL101Y1 POL101Y1]

[http://www.math.toronto.edu/lam/ MAT135H1] (TA)

(Page layout stolen from [[User:Eyjaffe]])

User:Jonathanrlove

2012-09-26T04:20:37Z

Jonathanrlove:

12-267/Class Photo

2012-09-26T04:13:27Z

Jonathanrlove: /* Who We Are... */

Our class on September 25, 2012:
{{12-267/Navigation}}
[[Image:12-267-ClassPhoto.jpg|thumb|centre|800px|Class Photo: click to enlarge]]

Please identify yourself in this photo! There are two ways to do that:

* [[Special:Userlogin|Log in]] to this Wiki and edit this page. Put your name, userid, email address and location in the picture in the alphabetical list below.
* Send [[User:Drorbn|Dror]] an email message with this information.

The first option is more fun but less private.

===Who We Are...===

{| align=center border=1 cellspacing=0
|-
!First name
!Last name
!UserID
!Email
!In the photo
!Comments

{{Photo Entry|last=Bar-Natan|first=Dror|userid=Drorbn|email=drorbn@ math. toronto. edu|location=left most person in the front row, red shirt with red and white stripes|comments=Take this entry as a model and leave it first. Otherwise alphabetize by last name. Feel free to leave some fields blank. For better line-breaking, leave a space next to the "@" in email addresses.}}
{{Photo Entry|last=Jaffe|first=Ethan|userid=Eyjaffe|email=eyjaffe@ gmail.com|location=top row, eighth from right, directly below the "RIES" in "Laboratories."|comments=}}
{{Photo Entry|last=Love|first=Jonathan|userid=Jonathanrlove|email=jonathan.love@ mail.utoronto.ca|location=immediately to the left of the big awkward space in the middle row|comments=}}


|}

12-267/Class Photo

2012-09-26T04:12:58Z

Jonathanrlove:

Our class on September 25, 2012:
{{12-267/Navigation}}
[[Image:12-267-ClassPhoto.jpg|thumb|centre|800px|Class Photo: click to enlarge]]

Please identify yourself in this photo! There are two ways to do that:

* [[Special:Userlogin|Log in]] to this Wiki and edit this page. Put your name, userid, email address and location in the picture in the alphabetical list below.
* Send [[User:Drorbn|Dror]] an email message with this information.

The first option is more fun but less private.

===Who We Are...===

{| align=center border=1 cellspacing=0
|-
!First name
!Last name
!UserID
!Email
!In the photo
!Comments

{{Photo Entry|last=Bar-Natan|first=Dror|userid=Drorbn|email=drorbn@ math. toronto. edu|location=left most person in the front row, red shirt with red and white stripes|comments=Take this entry as a model and leave it first. Otherwise alphabetize by last name. Feel free to leave some fields blank. For better line-breaking, leave a space next to the "@" in email addresses.}}
{{Photo Entry|last=Jaffe|first=Ethan|userid=Eyjaffe|email=eyjaffe@ gmail.com|location=top row, eighth from right, directly below the "RIES" in "Laboratories."|comments=}}
{{Photo Entry|last=Love|first=Jonathan|userid=Jonathanrlove|email=jonathan.love@ mail.utoronto.ca|immediately to the left of the big awkward space in the middle row|comments=}}


|}

12-267/Class Photo

2012-09-14T03:10:04Z

Jonathanrlove:

It's a little hard to see me because I'm pretty obscured, but I'm the third guy from the left in the second row from the top. (Jonathan Love)