The exam can be conducted in Polish or in English. It consists of 3 parts:

**Part I**: A short (10 min) presentation of the applicant’s research experience (such as undergraduate thesis work).

**Part II**: Presentation of three topics, one from each section, selected by the exam committee from the following list:

- Section A
- Inertial frames of reference; Galilean and Lorentz transformations
- Formulations of classical mechanics
- Symmetries and integrals of motion
- The two-body problem

- Section B
- Maxwell’s equations and the electric and magnetic properties of matter
- Electromagnetic waves
- Principles of thermodynamics
- Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac distributions

- Section C
- The Schrödinger equation and the interpretation of the wave function
- Observables in quantum mechanics; the Heisenberg uncertainty principle
- Quantum description of the hydrogen atom
- Symmetries in Quantum mechanics

**Part III**: Presentation of a selected topic related to the future research program (about 20 min). The topic will be sent to the candidate by e-mail two weeks before the exam date.

Each part of the exam is evaluated separately on a scale of A-D. An applicant may be admitted to our Graduate Studies Program if each of the three parts receives at least a C grade.