School of Mathematics and Natural Sciences

Elective Courses

The courses within the CSiS Master´s Programme are divided into compulsory and elective. Elective courses are those, related to the specializations, which student has chosen. These courses are taught during the second and third semester of studies. Below you can find some descriptions of these courses and links to the corresponding web-pages:

This course is aimed on the acquisition of expertise and skills on specific topics of atmospheric physics, atmospheric chemistry, measurement techniques as well as numerical modelling. It also includes the one-week studies in the Summer School on Chemistry and Dynamics of the Atmosphere at the Research Centre Jülich.

More about the Atmospheric Physics Course

More about AtmP specialization

During this course students acquire an insight into various techniques to numerically simulate electromagnetic and coupled multiphysics field problems in highly complex technical systems or biological organisms. Students gain ability to effectively use modern commercial CEM simulation tools or to alternatively develop and use own implementations of electromagnetic field simulators.

More about the Computational Electromagnetics Course

More about CEM specialization

During this course students find out the basic concepts in Computational Finance, as modelling of financial markets, Black-Scholes model, stochastic differential equations, finite difference methods, finite element methods, partial differential equations arising in finance, numerical solution of initial boundary value problems etc. They learn how to model in finance, develop and use simulation tools and judge their efficiency and practicability in front offices.

More about the Computational Finance Course

More about CompFin specialization

CFM course consists of several options to choose: Computational Fluid Dynamics, Radiative Heat Transfer, Pedestrian Dynamics, Fire Simulation etc. During the course students master the basics of fluid dynamics. They shall be enabled to apply different models to simulate flows for the purposes of research and development, as well as to critically evaluate 
CFD results. 

More about the Computational Fluid Mechanics Course

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In Detector Physics course students learn how to apply techniques of particle detection and reconstruction to particular detector setups. They gain knowledge how to simulate the response of particle detectors to incident particles. They learn how to operate and control detectors, record data in laboratory setups and analyse these data, obtain hands-on 
experience in state-of-the-art experimental equipment (tunneling microscopy).

More about the Detector Physics Course

More about DET specialization

This course is dedicated to mastering the basics of quantitative medical imaging. Students learn the underlying physical principles, detection methods, and analysis tools. They get to understand the advantages and disadvantages of different brain imaging approaches, and then master the basics of imaging the brain at different scales (from MRI to microscopy, from macro to micro).

More about the Imaging in Medicine Course

More about IMG specialization

During their studies on this course students learn to describe material properties from the microscopic to the macroscopic scale. They get acquainted with the fundamental concepts of quantum mechanics, thermodynamics and essential knowledge in quantum chemistry and statistical thermodynamics, learn and apply numerical methods for the simulations of materials at the molecular level.

More about the Molecular and Materials Modelling Course

More about MMM specialization

This course is consisted of several options: the Standard Model of Elementary Particle Physics, Many Particle Theory, Statistical Field Theory, Cosmology and General Relativity, Introduction to Quantum Field Theory, and Advanced Quantum Mechanics are among them. The students learn the properties and foundations of the Standard Model of Elementary Particle Physics.

More about the Theoretical Particle Physics Course

More about COS/EQFT/FQM specialization

Last modified: 15.10.2025