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Course PM
MAN460 - Ordinära differentialekvationer
Ordinary differential equations
The course deals wih
- theoretical aspects of ode's
(existence and uniqueness of
solutions to the initial value problem;
theory of linear systems;
qualitative properties of solutions;
stability of solutions;
two-point boundary value problems and
Sturm-Liouville theory)
- practical use of ode's (mathematical models)
- a little about numerical methods (with a project)
The official course description (in swedish) can be found
here .
The schedule, with information about lecture rooms, can be
found
here .
(Note that all lectures in the afternoon,
begin 15 minutes past the hour, while the morning lectures begin
on the hour).
A course diary, with information about the course activity so
far can be found
here .
Links to downloadable material are put
at the bottom of the page.
MAN460 is also an elective course in the international master's
programme "Engineering Mathematics", and hence it will be
given in English, if any one student prefers this.
Course literature
- Walter, Wolfgang: Ordinary
Differential Equations , Springer (1998).
Can be orderd e.g. at
adlibris.se . It is also sold at Cremona.
-This book will be the base for the course at least this
year.
- Andersson, K.G., Böiers, L.-C.:
Ordinära differentialekvationer ,
Studentlitteratur (1992).
Can be orderd e.g. at
adlibris.se , and it is also available at Cremona.
- This book used to be the standard book for the course,
and it is very well adapted to the course
programme. Unfortunately it is not available in
English. However, for anyone who understands Swedish, this
is quite sufficient as course litterature.
- Simmons, G.F.: Differential
equations with applications and historical notes
McGraw-Hill. Can be orderd e.g. at
adlibris.se
- A nice book on ordinary differential equations, which
also contains many good exercises (some will be presented
in the course). It also presents some of the men who
created the theory (of course, also women have made very
important contributions to this theory, but Simmons has
chosen only men in his list)
-
Some additional
material, will be available for download from the
webpage:
Examination
The written examination takes place on June 5. Calculators and
collections of formulas etc. are not allowed during the exam, only
pencil and eraser may be used (paper to write on will be distributed
by the exam organiser.
In addition to the written exam, a compulsory computer exerise
must be carried out, and the report be handed in
no later than June 15.
OBS Please observe that at this date, the report should be
handed in in final form, and hence it may be a good idea to show the
examinor a preliminary version before that.
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