The programme is targeted at students who want to obtain theoretical and practical knowledge about mathematics of random events. It is primarily characterized by a balance between rigorous mathematical theory, depth of insight into various fields of the subject (probability, statistics, econometrics) and applications in various areas. The students will obtain a general background by taking compulsory courses in probability, optimization, statistical modelling and random processes. They continue by taking elective courses to extend their expertise and choose a specialization they want to study more deeply. In seminars, they learn to work independently as well as to collaborate on complex projects. A big emphasis is placed on the development of independent analytical thinking. Probability, statistics and econometrics have a close relationship to other mathematical subjects (mathematical analysis, numerical mathematics, discrete mathematics). The applications are inspired by real problems from economics, medicine, technology, natural sciences, physics and informatics. The primary objective of the programme is to prepare the students for successful careers in academia as well as in finances, telecommunications, marketing, medicine and natural sciences.
Entrance examination – Master's programme
Applicants who will not sufficiently demonstrate the necessary background listed above by 9 May 2016, or with their application, will be invited to take the entrance examination in Prague.
The entrance examination for a Master's programme at the Faculty of Mathematics and Physics at Charles University consists of four problems, each worth 25 points. In case of an incomplete solution a proportional number of points will be given. The maximum total score is 100. The minimum score for admission is 40 points out of 100. Depending on the study programme and study branch, the examination has the following structure:
- Mathematics (4 problems)
Master’s Entry Requirements
The goal of the admissions review process is to select from the pool of applicants those individuals who have shown the best capability and diligence expected of Charles University students. To apply for our Mathematics or Computer Science Master's programmes delivered in English you must
- hold or be working towards a Bachelor’s or Master’s diploma and provide a certified copy thereof; in cases required by law, a certification of equivalence of education must accompany the application,
- have sufficient academic background in the relevant fields (see below for details); this can be demonstrated by passing the specialized entrance examination in June 2016 in Prague that is organized by the Faculty of Mathematics and Physics, Charles University, or by providing transcripts (academic records) of your previous education accompanied by syllabi of the completed courses; promising students who do not have this background may be admitted with the provision that they complete the missing knowledge from Bachelor's courses,
- have sufficient command of the English language; this can be demonstrated by providing your results in one of the standardized English tests that we recognize (see below for details).
You are also welcome to accompany your application by
- a statement of purpose in which you describe your reasons for applying to the proposed programme, your study and possibly also research interests and future career plans,
- letters of recommendation as recent as possible from professors and employers who can comment on your recent professional accomplishments and your qualifications for pursuing a Master's degree in mathematics or computer science.
English Language Proficiency
All applicants must have an adequate command of English in order to enrol at Charles University. An applicant’s proficiency level in English may be demonstrated by various language tests; any language test results should not be older than two years. The only exemption from this requirement is for students who have completed at least two years of their previous education with English as the sole language of instruction in one of the following countries: Australia, Canada, Ireland, New Zealand, UK, or USA.
The table below summarizes the minimum requirements in the various tests of English that we recognize; you must meet the minimum score for at least one of the tests listed here, or provide us comparable results for other recognized qualifications (if in doubt please contact us to obtain specific required scores for other internationally recognized English Language qualifications).
Test Minimum score
- TOEFL Paper / Computer / Internet based - 550 / 213 / 80
- SAT Critical Reading and Writing - 550 in each part
- ACT English and Reading - 24
- International Baccalaureate English - 6
- The International English Language Testing System (IELTS) - 6.5
- Cambridge ESOL FCE A level
- Cambridge ESOL CPE, or Cambridge ESOL CAE - Passed
- City&Guilds International ESOL, or City&Guilds International Spoken ESOL - Expert level
- The European Language Certificates - Level TELC English C1
- UNIcert English for Mathematicians - Level C1
- Melab - 77
- Examination for the Certificate of Proficiency in English (ECPE) - Pass
- Test of English for International Communication (TOEIC) - 605
- Vancouver English Centre (VEC) level / online score - 13-14 / 74
- General State Language Examination in English in the Czech Republic - Pass
Conditions for admission without entrance examination
In this paragraph we summarize the minimum knowledge required for applicants in the various study programmes and study branches offered at our faculty.
Master of Mathematics
Common requirements: A sound background in linear algebra, real and complex analysis, measure theory and probability theory.
Study branch Probability, Mathematical Statistics and Econometrics: + mathematical statistics, Markov chains.
Academic records demonstrating the necessary background must show the dates of enrolment and the subjects or courses taken, together with the units of credit or time allotted to each subject. The records must also include a complete description of the institution's grading scale or other standard of evaluation. Unless academic records and diplomas are routinely issued in English by the institution, the official records in their original language must be submitted with an authorized, complete, and exact English translation.
Information on the exercise of graduates
The graduate is familiar with mathematical modelling of random events and processes and its applications. He/she understands the foundations of probability theory, mathematical statistics, random process theory and optimization. His/her general background has been extended towards deeper knowledge of random process theory and stochastic analysis, modern statistical methods, or advanced optimization and time series analysis. The graduate understands the substance of the methods, grasps their mutual relationships, and is able to extend them actively and use them. He/she knows how to apply the theoretical knowledge to practical problems in a creative way. The graduate’s ability to think logically, to analyze problems, and to solve non-trivial problems can be put to use in independent and creative jobs in the commercial sector or in academic positions.
This school offers programs in:
Last updated June 6, 2017