Difference between revisions of "12-267"

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(Gathered links to Ktnd3's notes from lecture video pages, put them in student link section)
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Handwritten notes by [[User:Ktnd3|Ktnd3]]:
September: [http://drorbn.net/images/7/72/Mat267_-_lecture_1%28sep.10%29.PDF 10th], [http://drorbn.net/images/b/ba/Mat267_-_lecture_2%28sep.11%29.PDF 11th], [http://drorbn.net/images/5/5a/Mat267_-_lecture_3%28sep.14%29.PDF 14th], [http://drorbn.net/images/8/82/Mat267_-_lecture_4%28sep.17%29.PDF 17th], [http://drorbn.net/images/d/df/12-267%28lecture5%29.PDF 18th], [http://drorbn.net/images/3/34/12-267%28lecture6%29.PDF 21st], [http://drorbn.net/images/a/a4/12-267%28lecture7%29.PDF 24th], [http://drorbn.net/images/a/a8/12-267%28lecture8%29.PDF 25th], [http://drorbn.net/images/f/fe/12-267%28lecture9%29.PDF 28th]
October: [http://drorbn.net/images/9/97/12-267%28lecture10%29.PDF 1st], [http://drorbn.net/images/c/cc/12-267%28lecture11%29.PDF 2nd], [http://drorbn.net/images/4/43/12-267%28lecture12%29.PDF 5th], [http://drorbn.net/images/4/4d/12-267%28lecture13%29.PDF 9th] [http://drorbn.net/images/7/73/12-267%28lecture14%29.PDF 12th]
[[User:Drorbn|Drorbn]] 06:36, 12 September 2012 (EDT): Material by [[User:Syjytg|Syjytg]] moved to [[12-267/Tuesday September 11 Notes]].
[[User:Drorbn|Drorbn]] 06:36, 12 September 2012 (EDT): Material by [[User:Syjytg|Syjytg]] moved to [[12-267/Tuesday September 11 Notes]].

Revision as of 18:31, 24 October 2012

Advanced Ordinary Differential Equations

Department of Mathematics, University of Toronto, Fall 2012

Agenda: If calculus is about change, differential equations are the equations governing change. We'll learn much about these, and nothing's more important!

Instructor: Dror Bar-Natan, drorbn@math.toronto.edu, Bahen 6178, 416-946-5438. Office hours: by appointment.

Classes: Mondays, Tuesdays, and Fridays 9-10 in RW 229.

Teaching Assistant
Teaching Assistant: Jordan Bell, jordan.bell@utoronto.ca.

Tutorials: Tuesdays 10-11 at RW 229. No tutorials on the first week of classes.


Boyce and DiPrima, 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

  • Also previously taught by T. Bloom, C. Pugh, D. Remenik.
Dror's notes above / Student's notes below

Handwritten notes by Ktnd3:

September: 10th, 11th, 14th, 17th, 18th, 21st, 24th, 25th, 28th

October: 1st, 2nd, 5th, 9th 12th

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

Summary of techniques to solve differential equations Vsbdthrsh

Fundamental Theorem and Proof from Lecture Twine

Derivation of Euler-Lagrange from Lecture Twine

Useful PDF: proof of Euler-Lagrange equation, explanation, examples Vsbdthrsh

Python example for Euler's Method Twine

In-depth coverage of Calculus of VariationsSimon1

A good summary of Calculus of Variations Simon1

All class notes from September 10th to October 5th Simon1

Summary of Numerical Methods Simon1

Summary of Chapter 3 from the Textbook on Constant Coefficient Second Order ODEs Simon1