Difference between revisions of "12267"
(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/viscompvarcalc_6.pdf Useful PDF: proof of EulerLagrange equation, explanation, examples ] [[User:VsbdthrshVsbdthrsh]]  [http://graphics.ethz.ch/teaching/former/vc_master_06/Downloads/viscompvarcalc_6.pdf Useful PDF: proof of EulerLagrange equation, explanation, examples ] [[User:VsbdthrshVsbdthrsh]]  
−  [http://math.hunter.cuny.edu/mbenders/cofv.pdf Indepth coverage of Calculus of Variations][[User:Simon1Simon1]]  +  12267 [http://math.hunter.cuny.edu/mbenders/cofv.pdf Indepth coverage of Calculus of Variations][[User:Simon1Simon1]] 
−  [http://highered.mcgrawhill.com/sites/dl/free/007063419x/392340/Calculus_of_Variations.pdf A good summary of Calculus of Variations]  +  12267 [http://highered.mcgrawhill.com/sites/dl/free/007063419x/392340/Calculus_of_Variations.pdf A good summary of Calculus of Variations] 
[[User:Simon1Simon1]]  [[User:Simon1Simon1]]  
−  [http://imgur.com/a/1vy11#0 All class notes from September 10th to October 5th] [[User:Simon1Simon1]]  +  12267 [http://imgur.com/a/1vy11#0 All class notes from September 10th to October 5th] [[User:Simon1Simon1]] 
−  [http://imgur.com/a/uLSlM Summary of Numerical Methods] [[User:Simon1Simon1]]  +  12267 [http://imgur.com/a/uLSlM Summary of Numerical Methods] [[User:Simon1Simon1]] 
[http://drorbn.net/index.php?title=Numerical_Methods Numerical Methods (wiki)] [[User:TwineTwine]]  [http://drorbn.net/index.php?title=Numerical_Methods Numerical Methods (wiki)] [[User:TwineTwine]]  
−  [http://imgur.com/a/tliYg Summary of Chapter 3 from the Textbook on Constant Coefficient Second Order ODEs] [[User:Simon1Simon1]]  +  12267 [http://imgur.com/a/tliYg Summary of Chapter 3 from the Textbook on Constant Coefficient Second Order ODEs] [[User:Simon1Simon1]] 
[http://drorbn.net/images/e/e6/Geometric_Interpretation_of_Lagrange_Multiplier.pdf Geometric Interpretation of Lagrange Multiplier] [[User:MathstudentMathstudent]]  [http://drorbn.net/images/e/e6/Geometric_Interpretation_of_Lagrange_Multiplier.pdf Geometric Interpretation of Lagrange Multiplier] [[User:MathstudentMathstudent]] 
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 BarNatan, drorbn@math.toronto.edu, Bahen 6178, 4169465438. Office hours: by appointment.
Classes: Mondays, Tuesdays, and Fridays 910 in RW 229.
Teaching Assistant: Jordan Bell, jordan.bell@utoronto.ca.
Tutorials: Tuesdays 1011 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.
 My 12267 notebook.
Dror's notes above / Student's notes below 
Drorbn 06:36, 12 September 2012 (EDT): Material by Syjytg moved to 12267/Tuesday September 11 Notes.
Summary of techniques to solve differential equations Vsbdthrsh
Fundamental Theorem and Proof from Lecture Twine
Derivation of EulerLagrange from Lecture Twine
Useful PDF: proof of EulerLagrange equation, explanation, examples Vsbdthrsh
12267 Indepth coverage of Calculus of VariationsSimon1
12267 A good summary of Calculus of Variations Simon1
12267 All class notes from September 10th to October 5th Simon1
12267 Summary of Numerical Methods Simon1
Numerical Methods (wiki) Twine
12267 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: