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: C
^{1} should
read C^{4}, 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