# Branch of Study: Mathematical Physics (MP)

Graduates in the branch of Mathematical Physics is oriented on advanced parts of modern mathematical physics and applied mathematics. Study of this branch allows graduates to use gained knowledge to the development of theoretical physics, in natural sciences and engineering.

Branch manager: **prof. RNDr Ladislav Hlavatý, DrSc.**

In Mathematical Physics we offer the structured courses:

- Bachelor degree course (3 years) completed with the title Bc.
- Continuing Master´s Degree Course (2 years) , completed with the title Ing (Eng)
- Doctoral Degree Course (4 years) , completed with the title Ph.D.

Complete study programs for the Bachelor’s and Master´s degree course in Mathematical Physics including timetables can be found in Study programs and timetables (in Czech). If you are interested in topics for Bachelor projects and Master theses, these can be found in Project and thesis topics (in Czech).

### More info:

## Bachelor´s Degree Course

3 years, completed with the title **Bc**.

Note: In the Bachelor Program the branch title is Mathematical Engineering, the specialisation is Mathematical Physics.

### Branch description:

The subjects of study are aimed at better understanding given fields and offer a good insight into state-of- the-art theoretical and mathematical physics. The studies include individual student projects carried out independently by the student on a given topic. The projects equip the student with a better grasp of the field of specialisation and often yield original results publishable in scientific reviews.

Students get a more in-depth education in modern mathematical and theoretical physics, especially in functional analysis and spectral theory of operators, differential geometry and Lie group theory, statistical physics, classical and quantum gravitation theories, quantum field theory and quantum information theory.

The branch is recommended to especially bright and highly motivated students

### Graduate profile:

**Knowledge**: Graduates acquire thorough knowledge of advanced mathematical, physical, and computational disciplines, which can be extended, according to their specialisation, in the field of applied mathematics or engineering computational science.

**Skills:** Application of methods and procedures of applied mathematics and physics to solve theoretical and real engineering and scientific research problems. In addition to the specialised skills gained during the course, mathematical engineering graduates will also gain other typical skills such as adaptability, a quick grasp of unfamiliar interdisciplinary problems, problem analysis and its corresponding computer processing, synthesis and good writing skills.

**Competence**: Graduates will find positions in teaching, research and industry. At work they will be able to use analytical thinking, a systematic approach based on acquired knowledge and skills in advanced computer technology. They can find positions at universities, in institutes of the Academy of Science, in research and development centres of large enterprises or other research institutes. Apart from their professional specialisation, they are able to fill general management positions.

## Master´s Degree course

2 years, completed with the title **Ing.**

### Branch description:

The subjects of study are aimed at better understanding given fields and offer a good insight into state-of- the-art theoretical and mathematical physics. The studies include individual student projects carried out independently by the student on a given topic. The projects equip the student with a better grasp of the field of specialisation and often yield original results publishable in scientific reviews.

Students get a more in-depth education in modern mathematical and theoretical physics, especially in functional analysis and spectral theory of operators, differential geometry and Lie group theory, statistical physics, classical and quantum gravitation theories, quantum field theory and quantum information theory.

The branch is recommended to especially bright and highly motivated students

### Graduate profile:

**Knowledge:** Graduates acquire thorough knowledge of advanced mathematical, physical, and computational disciplines, which can be extended, according to their specialisation, in the field of applied mathematics or engineering computational science.

**Skills: **Application of methods and procedures of applied mathematics and physics to solve theoretical and real engineering and scientific research problems. In addition to the specialised skills gained during the course, mathematical engineering graduates will also gain other typical skills such as adaptability, a quick grasp of unfamiliar interdisciplinary problems, problem analysis and its corresponding computer processing, synthesis and good writing skills.

**Competence**: Graduates will find positions in teaching, research and industry. At work they will be able to use analytical thinking, a systematic approach based on acquired knowledge and skills in advanced computer technology. They can find positions at universities, in institutes of the Academy of Science, in research and development centres of large enterprises or other research institutes. Apart from their professional specialisation, they are able to fill general management positions.

## Doctoral Degree course

4 years, completed with a degree** Ph.D.**

The course builds on fundamental knowledge of mathematics and physics. Students attain a basic knowledge of functional analysis and of mathematical physics equations, of quantum mechanics and quantum field theory, of group theory, and symmetries in physics. They get acquainted with differential geometry, elementary particle theory and general theory of relativity. In regular seminars, and especially through their independent work supervised by specialists from FJFI and the Academy of Science (AV ČR), students get familiar with research work and topical problems covered by various branches of mathematical physics. They concentrate on mathematical problems of quantum theory, study abstract mathematical problems and use computers for numerical and symbolic calculations and for the simulation of physical processes. A number of dissertations are based on research projects supported by grant agencies.