FF505: Computational science (8 ECTS)

STADS: 07005501

Level
Bachelor course

Teaching period
The course is offered in the spring semester.

Teacher responsible
Email: paolo.sibani@sdu.dk
Email: pica@cp3.sdu.dk

Additional teachers
marco@imada.sdu.dk

Timetable
Show entire timetable
Show personal time table for this course.

Comment:
Ubegrænset deltagerantal. 3. kvartal.

Prerequisites:
None

Academic preconditions:
None

Course introduction
Many phenomena in science can be described mathematically by differential equations. The solutions to these equations, and thereby also the phenomena themselves, can often be simulated on a computer. Students taking this course will be introduced to mathematical modelling of selected physical systems using linear algebra, differential equations and computer simulations, using for example the software package MatLab.

Expected learning outcome
At the end of the course, the student is expected to:
- Be able to use basic methods and results from linear algebra and Fourier analysis to solve linear systems of coupled and partial differential equations describing physical models.
- Be able to use software packages, e.g., MatLab, to treat specific physical models numerically, assess the quality of the results obtained and the applicability of the underlying model to the phenomena the model is meant to describe.
- Write a report in which the results obtained are presented in a clear and concise way, and to present and defend this report at an oral examination.

Subject overview
Subjects covered:
- Elementary vector space theory: vectors, matrices, linear spaces, linear transformations and their matrix representations, eigenvectors and eigenvalues.
- The spectral theorem for linear transformations on finite dimensional linear spaces and eigenfunction expansion, including Fourier series.
- Solving boundary value problems using eigenfunction expansions.
- Markov chains and their applications.

Literature

Meddeles ved kursets start.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
Oral exam. evaluated by Danish 7 mark scale, external examiner (8 ECTS)

Reexamination after the 4th quarter

The mode of exam at the reexamination may differ from the mode of exam at the ordinary exam.

Expected working hours
The teaching method is based on three phase model.
Intro phase: 22 hours
Skills training phase: 22 hours

Educational activities Study phase: 14 hours

Language
This course is taught in Danish or English, depending on the lecturer.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.