This Master Program focuses on deeper knowledge of various mathematical disciplines and their algorithmic aspects. The student can get specialized either in Mathematics for Information Security or in Computer Geometry.
Best Masters in IT Security in Czech Republic 2017. This Master Program focuses on deeper knowledge of various mathematical disciplines and their algorithmic aspects. The student can get specialized either in Mathematics for Information Security or in Computer Geometry.
The direction Mathematics for Information Security is focused on deepening the theoretical knowledge of number theory, probability theory, theory of error correcting codes, complexity theory, theory of elliptic curves, and computer algebra applied to some of these subjects. Attention is also given to practical aspects such as internet security, standards in cryptography, and legal aspects of data security.
The direction Computer Geometry deepens theoretical knowledge in various algebraic and geometric subjects together with their applications in geometry of computer vision and robotics, computer graphics and image processing, optimization methods, and numerical linear algebra.
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.
Mathematics for Information Technologies: + commutative and computer algebra, theoretical and applied cryptography.
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
Graduates have a broad knowledge of advanced algebra, geometry and logic, and can apply it to solve advanced problems of mathematical information security and computer geometry.
Graduates specialized in Mathematics for |Information Security are well acquainted with both the present and prospective systems of data security and encryption, including their mathematical principles, practical applications and standards. The mathematical knowledge covers the theoretical background of cryptography in full breadth (number theory, self-correcting codes, complexity of algorithms, elliptic curves, one-way functions). Graduates also understand the structure of cryptographic protocols and are aware of basic legal aspects of data security.
Graduates specialized in Computer Geometry have deep knowledge of algebra and geometry subjects that are applied in information technologies processing geometric information and data.
The graduates are well prepared for various jobs in information technologies where understanding and processing new knowledge and big data is needed. They are also prepared for academic career.