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Faculty of Mathematics and Physics

Ke Karlovu 3, Praha 2, 12116
Phone: +420221911262, , fax: +420 221 911 426
E-mail: studijni@mff.cuni.cz, WWW Page: www.mff.cuni.cz

Types of Study Programmes and Degrees Awarded
The Faculty offers the following study programmes and awards the following degrees: - Bachelor Study Programmes After the state final examination: "bakalář" (i.e. "Bachelor"), abbreviated as "Bc." - Master Study Programmes After the state final examination: "magistr" (i.e. "Master"), abbreviated as "Mgr." After the state "rigorous" examination: "doktor přírodních věd" (i.e. "Doctor of Natural Sciences"), abbreviated as "RNDr." - Doctoral Study Programmes After the state doctoral examination: "doktor" (i.e. "Doctor"), abbreviated as "Ph.D."

Code	Name of study programme	Type of study	Academic title	Form of study	Lenght of study
B	Physics	Bachelor study	Bc.	Full time study	3
B	Physics	Bachelor study	Bc.	Combination of FT and Dis	3
B	Physics	Bachelor study	Bc.	Full time study	3
B	Physics	Bachelor study	Bc.	Combination of FT and Dis	3
B	Physics	Bachelor study	Bc.	Full time study	2
B	Physics	Bachelor study	Bc.	Combination of FT and Dis	2
B	Physics	Bachelor study	Bc.	Full time study	2
B	Physics	Bachelor study	Bc.	Combination of FT and Dis	2
B	Physics	Bachelor study	Bc.	Full time study	4
B	Physics	Bachelor study	Bc.	Combination of FT and Dis	4
B	Mathematics	Bachelor study	Bc.	Full time study	3
B	Mathematics	Bachelor study	Bc.	Full time study	3
B	Mathematics	Bachelor study	Bc.	Full time study	2
B	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	2
B	Mathematics	Bachelor study	Bc.	Full time study	4
B	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	4
B	Mathematics	Bachelor study	Bc.	Full time study	4
B	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	4
B	Mathematics	Bachelor study	Bc.	Full time study	4
B	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	4
B	Mathematics	Bachelor study	Bc.	Full time study	2
B	Mathematics	Bachelor study	Bc.	Full time study	2
B	Mathematics	Bachelor study	Bc.	Full time study	5
B	Mathematics	Bachelor study	Bc.	Full time study	5
B	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	5
B	Mathematics	Bachelor study	Bc.	Full time study	3
B	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	3
B	Mathematics	Bachelor study	Bc.	Full time study	3
B	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	3
B1101	Mathematics	Bachelor study	Bc.	Full time study	3
	Financial Mathematics	Bachelor study	Bc.	Full time study	3
	General Mathematics	Bachelor study	Bc.	Full time study	3
	Mathematical Methods of Information Security	Bachelor study	Bc.	Full time study	3
	Mathematics for Education	Bachelor study	Bc.	Full time study	3
B1101	Mathematics	Bachelor study	Bc.	Combination of FT and Dis	3
	Financial Mathematics	Bachelor study	Bc.	Combination of FT and Dis	3
	General Mathematics	Bachelor study	Bc.	Combination of FT and Dis	3
	Mathematical Methods of Information Security	Bachelor study	Bc.	Combination of FT and Dis	3
	Mathematics for Education	Bachelor study	Bc.	Combination of FT and Dis	3
B1701	Physics	Bachelor study	Bc.	Full time study	3
	General Physics	Bachelor study	Bc.	Full time study	3
	Physics for Education	Bachelor study	Bc.	Full time study	3
B1701	Physics	Bachelor study	Bc.	Combination of FT and Dis	3
	General Physics	Bachelor study	Bc.	Combination of FT and Dis	3
	Physics for Education	Bachelor study	Bc.	Combination of FT and Dis	3
B1801	Informatics	Bachelor study	Bc.	Full time study	3
	Computer Systems Control	Bachelor study	Bc.	Full time study	3
	General Informatics	Bachelor study	Bc.	Full time study	3
	Programming	Bachelor study	Bc.	Full time study	3
B1801	Informatics	Bachelor study	Bc.	Combination of FT and Dis	3
	Computer Systems Control	Bachelor study	Bc.	Combination of FT and Dis	3
	General Informatics	Bachelor study	Bc.	Combination of FT and Dis	3
	Programming	Bachelor study	Bc.	Combination of FT and Dis	3
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	2
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	2
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	3
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	5
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	2
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	5
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	5
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	2
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	3
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Full time study	3
N	Training Teachers at Lower Secondary School	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N1101	Mathematics	Continuos of Bachelor study	Mgr.	Full time study	2
	Financial and Insurance Mathematics	Continuos of Bachelor study	Mgr.	Full time study	2
	Mathematical Analysis	Continuos of Bachelor study	Mgr.	Full time study	2
	Mathematical Methods of Information Security	Continuos of Bachelor study	Mgr.	Full time study	2
	Mathematical Modelling in Physics and Technology	Continuos of Bachelor study	Mgr.	Full time study	2
	Mathematical Structures	Continuos of Bachelor study	Mgr.	Full time study	2
	Numerical and Computational Mathematics	Continuos of Bachelor study	Mgr.	Full time study	2
	Probability, Mathematical Statistics, and Econometrics	Continuos of Bachelor study	Mgr.	Full time study	2
	Teaching Certificate for Mathematics - Informatics for Middle Schools	Continuos of Bachelor study	Mgr.	Full time study	2
	Teaching Certificate for Mathematics for Secondary Schools with combination - Technical Mathematics	Continuos of Bachelor study	Mgr.	Full time study	2
	Teaching Certificate for Mathematics - Decstriptive Mathematics for Middle Schools	Continuos of Bachelor study	Mgr.	Full time study	2
N1101	Mathematics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Financial and Insurance Mathematics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Mathematical Analysis	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Mathematical Methods of Information Security	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Mathematical Modelling in Physics and Technology	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Mathematical Structures	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Numerical and Computational Mathematics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Probability, Mathematical Statistics, and Econometrics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Teaching Certificate for Mathematics - Informatics for Middle Schools	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Teaching Certificate for Mathematics for Secondary Schools with combination - Technical Mathematics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Teaching Certificate for Mathematics - Decstriptive Mathematics for Middle Schools	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1101	Mathematics	Continuos of Bachelor study	Mgr.	Full time study	2
N1101	Mathematics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1101	Mathematics	Continuos of Bachelor study	Mgr.	Full time study	2
N1101	Mathematics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Full time study	2
	Astronomy and Astrophysics	Continuos of Bachelor study	Mgr.	Full time study	2
	Biophysics and Chemical Physics	Continuos of Bachelor study	Mgr.	Full time study	2
	Geophysics	Continuos of Bachelor study	Mgr.	Full time study	2
	Mathematical and Computer Modelling in Physics and Engineering	Continuos of Bachelor study	Mgr.	Full time study	2
	Meteorology and Climatology	Continuos of Bachelor study	Mgr.	Full time study	2
	Nuclear and Subnuclear Physics	Continuos of Bachelor study	Mgr.	Full time study	2
	Optics and Optoelectronics	Continuos of Bachelor study	Mgr.	Full time study	2
	Physics and Condensed Materials	Continuos of Bachelor study	Mgr.	Full time study	2
	Physics of Surfaces and Ionized Media	Continuos of Bachelor study	Mgr.	Full time study	2
	Training Teachers of Physics and Mathematics at Higher Secondary Schools	Continuos of Bachelor study	Mgr.	Full time study	2
	Training Teachers of Physics at Higher Secondary Schools in Combination with Professional Physics	Continuos of Bachelor study	Mgr.	Full time study	2
	Theoretical Physics	Continuos of Bachelor study	Mgr.	Full time study	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Astronomy and Astrophysics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Biophysics and Chemical Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Geophysics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Mathematical and Computer Modelling in Physics and Engineering	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Meteorology and Climatology	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Nuclear and Subnuclear Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Optics and Optoelectronics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Physics and Condensed Materials	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Physics of Surfaces and Ionized Media	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Training Teachers of Physics and Mathematics at Higher Secondary Schools	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Training Teachers of Physics at Higher Secondary Schools in Combination with Professional Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Theoretical Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Full time study	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Full time study	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Full time study	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1701	Physics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
	Discrete Models and Algorithms	Continuos of Bachelor study	Mgr.	Full time study	2
	Mathematical Linguistics	Continuos of Bachelor study	Mgr.	Full time study	2
	Software Systems	Continuos of Bachelor study	Mgr.	Full time study	2
	Training Teachers of Computer Science at Higher Secondary Schools in Combination with Professional Computer Science	Continuos of Bachelor study	Mgr.	Full time study	2
	Theoretical Computer Science	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Discrete Models and Algorithms	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Mathematical Linguistics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Software Systems	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Training Teachers of Computer Science at Higher Secondary Schools in Combination with Professional Computer Science	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Theoretical Computer Science	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	2
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	5
N1801	Informatics	Continuos of Bachelor study	Mgr.	Full time study	3
N1801	Informatics	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	3
N7503	Primary School Teacher Education	Continuos of Bachelor study	Mgr.	Full time study	2
	Teaching Certificate for Physics - Mathematics for the Second Stage of Primary Schools	Continuos of Bachelor study	Mgr.	Full time study	2
N7503	Primary School Teacher Education	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
	Teaching Certificate for Physics - Mathematics for the Second Stage of Primary Schools	Continuos of Bachelor study	Mgr.	Combination of FT and Dis	2
M1101	Mathematics	Master study	Mgr.	Full time study	2
M1101	Mathematics	Master study	Mgr.	Combination of FT and Dis	2
M1101	Mathematics	Master study	Mgr.	Full time study	4
M1101	Mathematics	Master study	Mgr.	Combination of FT and Dis	4
M1101	Mathematics	Master study	Mgr.	Combination of FT and Dis	2
M1101	Mathematics	Master study	Mgr.	Combination of FT and Dis	2
M1101	Mathematics	Master study	Mgr.	Full time study	4
M1101	Mathematics	Master study	Mgr.	Combination of FT and Dis	4
M1101	Mathematics	Master study	Mgr.	Full time study	5
M1101	Mathematics	Master study	Mgr.	Combination of FT and Dis	5
M1101	Mathematics	Master study	Mgr.	Full time study	5
M1101	Mathematics	Master study	Mgr.	Combination of FT and Dis	5
M1701	Physics	Master study	Mgr.	Full time study	5
M1701	Physics	Master study	Mgr.	Combination of FT and Dis	5
M1701	Physics	Master study	Mgr.	Full time study	5
M1701	Physics	Master study	Mgr.	Combination of FT and Dis	5
M1701	Physics	Master study	Mgr.	Full time study	4
M1701	Physics	Master study	Mgr.	Combination of FT and Dis	4
M1701	Physics	Master study	Mgr.	Full time study	3
M1701	Physics	Master study	Mgr.	Combination of FT and Dis	3
M1701	Physics	Master study	Mgr.	Full time study	3
M1701	Physics	Master study	Mgr.	Combination of FT and Dis	3
M1701	Physics	Master study	Mgr.	Full time study	4
M1701	Physics	Master study	Mgr.	Combination of FT and Dis	4
M1801	Informatics	Master study	Mgr.	Full time study	5
M1801	Informatics	Master study	Mgr.	Combination of FT and Dis	5
M1801	Informatics	Master study	Mgr.	Full time study	5
M1801	Informatics	Master study	Mgr.	Combination of FT and Dis	5
M1801	Informatics	Master study	Mgr.	Full time study	2
M1801	Informatics	Master study	Mgr.	Combination of FT and Dis	2
M7503	Primary School Teacher Education	Master study	Mgr.	Full time study	5
M7503	Primary School Teacher Education	Master study	Mgr.	Combination of FT and Dis	5
M7503	Primary School Teacher Education	Master study	Mgr.	Full time study	5
M7503	Primary School Teacher Education	Master study	Mgr.	Combination of FT and Dis	5
M7504	Secondary School Teacher Education	Master study	Mgr.	Full time study	5
M7504	Secondary School Teacher Education	Master study	Mgr.	Combination of FT and Dis	5
M7504	Secondary School Teacher Education	Master study	Mgr.	Full time study	5
M7504	Secondary School Teacher Education	Master study	Mgr.	Combination of FT and Dis	5
P	Mathematics	Doctoral study	Ph.D.	Full time study	4
P	Mathematics	Doctoral study	Ph.D.	Combination of FT and Dis	4
P	Mathematics	Doctoral study	Ph.D.	Full time study	4
P	Mathematics	Doctoral study	Ph.D.	Combination of FT and Dis	4
P	Mathematics	Doctoral study	Ph.D.	Full time study	2
P	Mathematics	Doctoral study	Ph.D.	Combination of FT and Dis	2
P	Mathematics	Doctoral study	Ph.D.	Full time study	3
P	Mathematics	Doctoral study	Ph.D.	Full time study	3
P	Mathematics	Doctoral study	Ph.D.	Full time study	3
P	Mathematics	Doctoral study	Ph.D.	Full time study	3
P	Informatics	Doctoral study	Ph.D.	Full time study	4
P	Informatics	Doctoral study	Ph.D.	Combination of FT and Dis	4
P	Informatics	Doctoral study	Ph.D.	Full time study	4
P	Informatics	Doctoral study	Ph.D.	Combination of FT and Dis	4
P1101	Mathematics	Doctoral study	Ph.D.	Full time study	3
P1101	Mathematics	Doctoral study	Ph.D.	Combination of FT and Dis	3
P1101	Mathematics	Doctoral study	Ph.D.	Full time study	3
P1101	Mathematics	Doctoral study	Ph.D.	Combination of FT and Dis	3
P1701	Physics	Doctoral study	Ph.D.	Full time study	3
P1701	Physics	Doctoral study	Ph.D.	Combination of FT and Dis	3
P1701	Physics	Doctoral study	Ph.D.	Full time study	3
P1701	Physics	Doctoral study	Ph.D.	Combination of FT and Dis	3
P1701	Physics	Doctoral study	Ph.D.	Full time study	4
P1701	Physics	Doctoral study	Ph.D.	Combination of FT and Dis	4
P1701	Physics	Doctoral study	Ph.D.	Full time study	4
P1701	Physics	Doctoral study	Ph.D.	Combination of FT and Dis	4
P1801	Informatics	Doctoral study	Ph.D.	Full time study	3
P1801	Informatics	Doctoral study	Ph.D.	Combination of FT and Dis	3
P1801	Informatics	Doctoral study	Ph.D.	Full time study	3
P1801	Informatics	Doctoral study	Ph.D.	Combination of FT and Dis	3
P1801	Informatics	Doctoral study	Ph.D.	Full time study	3
P1801	Informatics	Doctoral study	Ph.D.	Combination of FT and Dis	3
P1801	Informatics	Doctoral study	Ph.D.	Full time study	2
P1801	Informatics	Doctoral study	Ph.D.	Combination of FT and Dis	2
P1801	Informatics	Doctoral study	Ph.D.	Full time study	4
P1801	Informatics	Doctoral study	Ph.D.	Combination of FT and Dis	4

Basic Information About Academic Programmes
The faculty is involved in teaching and research in the areas of mathematics, physics and computer science. Bachelor and master study programmes at the faculty are undertaken on a full-time or part-time basis. Combined studies are provided in the form ofan interdisciplinary study programme, which is partly carried out by another faculty of the University. The study programmes in teacher education require simultaneous studies of two of the following subjects for teacher certification: mathematics, physics, computer science and descriptive geometry. Doctoral study programmes consist of course work and supervised research which is outlined in an individual study plan. Throughout his or her studies, the student is supervised by his/her advisor. Students are required to take several special examinations, and at the end of their studies they take a doctoral examination and present their doctoral thesis.

Lifelong Learning
The faculty offers a wide range of courses (preparatory courses, courses for senior citizens, and other specialized courses). For more information, please visit the faculty web site, or contact the Students' Department.

Admission
All applicants to bachelor and master study programmes are required to take a written entrance examination in at least two of the following subjects: mathematics, physics and computer science. In order to be admitted to a doctoral study programme, the applicant must have a master's degree from a Czech higher education institution (or an equivalent master's degree from a foreign higher education institution) and successfully pass the entrance examination. In 2009/2010, the number of applicants to the Faculty was 1575. The Faculty selected 1165 applicants, i.e., 74,0 % of the candidates, for admission.

Information for Foreign Students
All bachelor and master study programmes are only conducted in the Czech language. International students must speak and read Czech language fluently, or must attend language courses simultaneously with their studies. Doctoral study programmes are available in Czech or in English. Tuition fee for international students in doctoral study programmes in English is USD 5,000 per academic year.

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