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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

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 Syjytg 21:20, 2 October 2012 (EDT)

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

In-depth coverage of Calculus of Variations A good summary of what we've covered so far Simon1

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