Last modified: 2009-05-22
Variationskalkyl (FMA 200) 2009
Course plan
Annonsen (Ps, Pdf)
Program (Ps, Pdf)
Info:
- The second exam is ready (see below in the Exam section).
- Book time slot for the oral exam - one hour between 10:00 and
15:00,
June 1 to June 5. Send me an email and suggest your time.
Lectures:
On Fridays at 13:15 in MH:333.
Exercises:
On Tuesdays weeks 3, 5 and 7 at 10:15
in MH:333
- 2/2: Problems (Ps, Pdf),
Answers (Ps, Pdf),
Solutions (Ps, Pdf)
- 16/2: Problems (Ps, Pdf),
Answers (Ps, Pdf),
Solutions (Ps, Pdf)
- 2/3: Problems (Ps, Pdf),
Answers (Ps, Pdf),
Solutions (Ps, Pdf)
- 31/3:
Problems (Ps, Pdf),
Answers (Ps, Pdf),
Solutions (Ps, Pdf)
- 5/5:
Problems (Ps, Pdf),
Answers (Ps, Pdf),
Solutions (Ps, Pdf)
- 19/5:
No new problems for this session. Instead I will solve some more
examples (Otto's engine model, Pontryagin's maximum principle for the
double integrator, (maybe) some problems from the exam 2007 etc).
Exams:
- Two written take-home exams after the first and the second parts
of the course respectively, and
- The final oral exam at the end.
- Some old exams Part 1 (2007, 2004,
2002)
and partial solutions (2007, 2004,
2002).
- The first take-home exam (modified
09-03-17: Ps, Pdf) to be returned on March 20. Check
out here for possible typos found.
- 2009-03-17: Typos in
Problem 4: C1 should
read C4, and within
the integral y''(x) should read y''(x)2.
- Some old exams Part 2 (2007, 2004,
2002).
- The second take-home exam (modified
09-05-22: Ps, Pdf) to be returned on May 27. Check
out here later on for possible typos found.
- 2009-05-22: Minor
reformulation has been made to clarify the questions.
Links:
- Derivation under the integral sign (Pdf)
- Introduktion
till variationskalkyl från Johan Byström at al.
- Lecture Notes on Calculus of Variations (pdf, 133
pages) by I. B. Russak
- Another Lecture Notes (pdf,
171 pages) by A. Cherkaev at el.
Andrey
Ghulchak