Study programme: Geophysics
Study cycle: Master (second)
Core of the programme: Mandatory for Meteorology module
Lectures: 30 hours
Exercises: 30 hours
Seminar: 0 hours
No. of ECTS credits: 7
Specifics: 14 weekly projects
Objectives of the course and intended learning outcomes (competences)Acquainting with basic modelling approaches and basic mathematical tools. Each weekly project is a combination of a model type and a tool.
Contents (Syllabus outline)
- Kinematic models (variational approach, linear programming, nonlinear minimization).
- Population models and chemical kinetics (phase space analysis, modelling of data and parameter estimates, normal matrix, singular value decomposition).
- Stochastic models (pseudorandom generators, basic probability distributions, Monte Carlo integration, simulation, Metropolis algorithm).
- Harmonic analysis (FFT, convolution, data filtering, noise removal).
- I. Kuščer, A. Kodre: Mathematik in Physik und Technik, Springer 1993.
- W.H. Press, B.P.Flannery, S.A.Teukolsky, W.T.Vetterling: Numerical Recipes, Cambridge Univ. Press, 1986.
- J.W. Demmel: Uporabna numerična linearna algebra, DMFA, Ljubljana 2000.
- M.H.Kalos, P.A.Whitlock: Monte Carlo methods.
Expected achievementsKnowledge and understanding
The knowledge of basic modelling aproaches, understanding of individual modelling tools.
The skill of data modelling and methods of stochastic analysis.
Understanding of the phenomenon-model relation, the reflection of complexity.
Presenting of data and results of analysis – advanced graphic tools. Mastering of time- and memory-extensive computational algorithms.
Teaching methodsLectures, discussion of projects, consultations.
Assesment methodsThe assessment consists of two parts, successful completion of all weekly assignments and successful completion of the final project assignment. The candidate successfully completes the assessment by obtaining a grade 6 (pass) to 10 (excellent) in both parts.
Methods of quality assessmentSelfevaluation, student questionaires.
Course coodinator and his references
- Prof. Dr. Alojz Kodre.