Difference between revisions of "12-267"

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(Added link to numerical methods page, removed link to python example of euler method (plan to amalgamate))
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[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]]
 
[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]]
  
[http://math.hunter.cuny.edu/mbenders/cofv.pdf In-depth coverage of Calculus of Variations][[User:Simon1|Simon1]]
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12-267 [http://math.hunter.cuny.edu/mbenders/cofv.pdf In-depth coverage of Calculus of Variations][[User:Simon1|Simon1]]
  
[http://highered.mcgraw-hill.com/sites/dl/free/007063419x/392340/Calculus_of_Variations.pdf A good summary of Calculus of Variations]
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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]]
 
[[User:Simon1|Simon1]]
  
[http://imgur.com/a/1vy11#0 All class notes from September 10th to October 5th] [[User:Simon1|Simon1]]
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12-267 [http://imgur.com/a/1vy11#0 All class notes from September 10th to October 5th] [[User:Simon1|Simon1]]
  
[http://imgur.com/a/uLSlM Summary of Numerical Methods] [[User:Simon1|Simon1]]
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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]]
 
[http://drorbn.net/index.php?title=Numerical_Methods Numerical Methods (wiki)] [[User:Twine|Twine]]
  
[http://imgur.com/a/tliYg Summary of Chapter 3 from the Textbook on Constant Coefficient Second Order ODEs] [[User:Simon1|Simon1]]
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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]]
 
[http://drorbn.net/images/e/e6/Geometric_Interpretation_of_Lagrange_Multiplier.pdf Geometric Interpretation of Lagrange Multiplier] [[User:Mathstudent|Mathstudent]]

Revision as of 07:00, 30 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.

Text

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

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

12-267 In-depth coverage of Calculus of VariationsSimon1

12-267 A good summary of Calculus of Variations Simon1

12-267 All class notes from September 10th to October 5th Simon1

12-267 Summary of Numerical Methods Simon1

Numerical Methods (wiki) Twine

12-267 Summary of Chapter 3 from the Textbook on Constant Coefficient Second Order ODEs Simon1

Geometric Interpretation of Lagrange Multiplier Mathstudent

Past exams from December 2009 and December 2010 Twine

Handwritten notes by Ktnd3: