School of Mathematics and Natural Sciences

Requirements for the Duration of Bachelor´s Degree Studies and Grades Achieved

You should have a Bachelor´s degree in one of the following fields: Applied Science, Business Mathematics, Chemistry, Electrical Engineering, Mechanical Engineering, Mathematics, Physics, Safety Engineering or a related field. The regular length of the Bachelor´s study should be of at least 6 semesters and should correspond to at least 180 ECTS credits, with a grade of (or equivalent to) at least 3.0 after rounding down to the first decimal place in the German ranking system.

 

Language Requirements

You should have sufficiently good proficiency in English, documented by providing the results of a recently passed language test with one of the certificates listed below:

  • TOEFL2 iBT (internet-based) with at least 79 points; or
  • TOEFL Essentials (internet-based) with at least 8.0 score; or
  • IELTS test, academic module with at least 6.0 band score; or
  • Cambrigde English Qualification with at least 173 points or certificate in B2 First, C1 Advanced, C2 Proficiency, B2 Business Vantage or C1 Business Higher; or
  • PTE (Pearson Test of English) Academic with at least 67 points; or
  • telc English B2/C1 university;
  • NULTE certificate B2.
  • For German citizens the certificate of the Abitur can also be a proof.

* Your certificate must not be older than two years at the time of enrolment.

** Only B.Sc. graduates from Australia, Canada, Ireland, New Zealand, the UK, and the USA do not need to provide a B2 language certificate. All other B.Sc. graduates must provide the B2 English language certificate according to the requirements above, even if the Bachelor´s programme was taught in English.

 

Scientific Requirements

The following knowledge must have been acquired during the studies on Bachelor´s level (percentages are used, if no ECTS credits are provided):

  • knowledge of a programming language corresponding to 8 ECTS credits or 4%; and
  • 24 ECTS credits or 13% which can be assigned to one of the following specialization fields:

Experimental Physics (Mechanics, Electricity and Magnetism, Atoms and Molecules), Thermodynamics, Data Analysis and Statistics

Self-assessment test for Atmospheric Physics

Electromagnetics / Electromagnetic Theory, Applied Mathematics, Numerical Techniques in Engineering /Computational Engineering

Self-assessment test for Computational Electromagnetics

Analysis I, II and III, Linear Algebra I and Introduction to Stochastic Calculus, Introduction into Numerical Analysis, Theory of Ordinary Differential Equations, Functional Analysis

Self-assessment test for Computational Finance

Newton’s laws, circular motion, harmonic oscillator, forced oscillations, energy and momentum conservation, elastic scattering. Basic relations of relativistic kinematics. Coloumb’s law of electric forces, Lorentz force, law of induction, propagation of planar electromagnetic waves in vacuum and matter. Quantisation of energy levels in atoms, excitations of atoms, photoelectric effect, description of microscopic particles with wave functions, Compton scattering. Radioactive decays.

Self-assessment test for Detector Physics

Atomic Physics, Nuclear Physics, Basic Quantum Mechanics

Self-assessment test for Imaging in Medicine

Physical Chemistry (including Introductory Thermodynamics), Modern General Physics.

Self-assessment test for Molecular and Materials Modelling

Quantum Mechanics, Elementary Particle Physics, Theoretical Physics (Mechanics, Electromagnetism, Thermodynamics).

Self-assessment test for Theoretical Particle Physics

If the knowledge at the Bachelor´s level is not sufficient for the choice of a specialization field, admission can be granted conditional on the fulfillment of further requirements. Mathematical knowledge corresponding to a Bachelor of Science or Engineering is assumed.

Last modified: 17.11.2025