Mat-1.3658 Special course in numerical analysis (5 cp) P, fall 2013
I
The topic of this year is
Numerical Dynamical Systems
Lectures: On Mondays at
10:15 in M3 (M234) and Thursdays at 10:15 in M2 (M233) starting Sept
9th.
Lecturers: prof. Timo
Eirola and prof. Luca Dieci (Georgia
Tech, Atlanta)
Exercises: On Fridays in M3 at 10:15 by
Armando Gutiérrez.
Overview: During this course we concentrate in numerical methods
for finding some important quantities and objects of dynamical systems.
Basic concepts of dynamical systems are also considered, while many
teorems are given without proofs.
- Solution methods for systems of equations, especially of those
that are underdetermined
- Computational methods for bifurcations
- Methods for computing invariant manifolds
- Solution methods for boundary value problems
This course suits well for students in mathematics, mechanics, systems
analysis, control engineering, and computational science and
engineering. The course work consists of lectures, exercises, home
work, and a special assignment.
Language: the course will be given in English
Prerequisities: Basic courses of the first two years
Material: The lecture notes
will become downloadable here as well as the weekly exercises.
Grading: Passing and the grade
will come from a combination of exam points and AHP
points (that is Attendance, Home work, and Project work). From the exam
the maximum is 30 pts while the maximum of AHP is 6+36+12=54.
- Attendance means following the exercise sessions (1 pt each).
In these sessions there will be first demo problems and then you start to work on
homework problems.
Some more hints may be given if needed.
- Homework is three problems/week and they will be returned by
Wednesday of the following week and graded 0-2 pts.
- A project work problem will be given a couple of weeks before the
end of the course. Graded 0-12 pts
Working in pairs or groups is allowed and encouraged. Anyway everyone
returns her/his own solution papers.
The grading will be done according to the following figure:
Or as a formula: having received p% of AHP points you will need for
grade j
12+3j-(19+j) p/200
exam points. Needed exam points are given here still in a table form
Grade/AHP
|
0 %
|
50 %
|
100 %
|
1
|
15
|
10
|
5
|
2
|
18
|
13
|
8
|
3
|
21
|
16
|
10
|
4
|
24
|
18
|
13
|
5
|
27
|
21
|
15
|
Note that these are the maxima of requirements.
If, for example, the exam turns out to become too difficult, the lines
will move leftwards
and the required numbers can come a little bit down.