Charles University Faculty of Mathematics and Physics

Introduction
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Math & Computer Science Programs at Charles University

What do we offer?

High-quality affordable three-year bachelor’s and two-year master’s programs taught in English, at one of the oldest and most highly regarded universities in Europe, in one of the most beautiful cities in the world, capital of a modern and technologically advanced country. The programs have been offered to Czech students for years with great success. Now they are open to international students, too.

Whom are we looking for?

Motivated, diligent and gifted young people from all over the world who dare to think and have an interest in computer science and mathematics.

Curriculum

Bachelor’s Degree Program in Computer Science

The Bachelor of General Computer Science study program is intended for students who would like to learn the lasting foundations of computer science and to become proficient in its methods and approaches. A soundly built theoretical base is invaluable for working with applications and software development, and is a necessity for further study and research in computer science. The bachelor study program usually takes three years and ends with a state final exam, after the successful completion of which the student is awarded the title of bachelor. The degree awarded is accredited by the Ministry of Education, Youth, and Sports of the Czech Republic and is internationally recognized. The language of instruction is English.

Master’s Degree Programs

In our Master’s programs, students are given a broad overview of their field, helping them to think independently, to distinguish between important and marginal problems, and to accommodate quickly to novel technologies. The focus is on understanding the core principles of how and why things work and on the application of these principles within modern technologies. The strong theoretical basis of the Master’s study program gives our graduates a competitive advantage in a dynamically evolving world where today’s technologies are often obsolete tomorrow.

Studies usually take two years and finish with a state final exam and Master’s thesis defense. After successful completion the student is awarded the title of a Master of Science.

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Admission

Bachelor’s Entry Requirements

To apply for the Bachelor of Computer Science program delivered in English you must

  • hold or be working towards a School Leaving Certificate (Diploma) or its equivalent; in cases required by law, a certification of equivalence of education must accompany the application;
  • meet the Reasoning Requirements, and
  • provide sufficient proof of English Language Proficiency.

Master’s Entry Requirements

To apply for a Master’s program 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 2015 in Prague that is organized by the Faculty of Mathematics and Physics, or by providing transcripts (academic records) of your previous education (preferably 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 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.

There are two selection rounds each year: a winter round with submission deadline February 29, 2016, and a spring round with submission deadline May 31, 2016. The review committee will select the best applicants in each round. The goal of the admissions review process is to select from the pool of applicants those individuals who have best shown the capability and diligence expected of Charles University students.

Application Fee for Bachelor and Master Programs


All Applicants: 20 EUR (around $22) per application; please pay this by credit card, following the instructions given in the online application.

Tuition Fees for Bachelor and Master Programs


140 000 CZK (5000 EUR); students from the EU are eligible for a 40 percent discount Average living costs range from 400 to 600 EUR around $440 to $660) per month, including accommodation, meals, public transport, and leisure activities.

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This school offers programs in:
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Programs

This school also offers:

Master

Master in Computer Science: Computational Linguistics

Campus Full time 2 years October 2017 Czech Republic Prague

The aim of the program is to get the students ready for research in the area of natural language processing and development of applications dealing with both written and spoken language. Examples of such applications are systems of information retrieval, machine translation, grammar checking, text summarization and information extraction, automatic speech recognition, voice control, spoken dialogue systems, and speech synthesis. [+]

The aim of the program is to get the students ready for research in the area of natural language processing and development of applications dealing with both written and spoken language. Examples of such applications are systems of information retrieval, machine translation, grammar checking, text summarization and information extraction, automatic speech recognition, voice control, spoken dialogue systems, and speech synthesis. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer 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. 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates The graduate student is an expert in application of state-of-the-art statistical as well as rule-based methods in the area of natural language processing. The student is prepared for doctoral studies in this area and for development of software applications of natural language processing such as information retrieval, question answering, summarization and information extraction, machine translation, automatic construction of dictionaries, speech processing (in Czech and other natural languages). Given the general applicability of machine learning and data driven methods, the graduate is also well equipped to use these methods in other domains, such as finances, medicine, and other areas where large quantities of both structured and unstructured data are being analyzed. The graduate has also extensive programming skills. [-]

Master in Discrete Models and Algorithms

Campus Full time 2 years October 2017 Czech Republic Prague

Study plans Discrete mathematics and combinatorial optimization and Mathematical structures in computer science provide advanced knowledge in the fields of applied mathematics and computer science. An emphasize is put on up-to-date theoretical and applied questions in the area. [+]

Study plans Discrete mathematics and combinatorial optimization and Mathematical structures in computer science provide advanced knowledge in the fields of applied mathematics and computer science. An emphasize is put on up-to-date theoretical and applied questions in the area. Study plans Optimization and Mathematical economics provide skills to solve difficult technical and economical problems with the use of optimization methods and suitable methods in mathematical economy. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer 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. 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates Graduates have a broad range of possibilities to work in areas connected with applied mathematics and computer science. Graduates are able to solve complicated technical and economical decision problems. Solutions of these problems are based on methods of mathematical optimization and on methods solving conflict situations. Deep knowledge of modern mathematical methods enables the graduate to design mathematical models in complicated economical situations. Education in computer science provides skills to implement effectively the solutions with the use of fast computers. [-]

Master in Mathematical Structures

Campus Full time 2 years October 2017 Czech Republic Prague

The programme is focused on extending the general mathematical background (algebraic geometry and topology, Riemann geometry, universal algebra and model theory) and obtaining deeper knowledge in selected topics of algebra, geometry, logic, or combinatorics. [+]

The programme is focused on extending the general mathematical background (algebraic geometry and topology, Riemann geometry, universal algebra and model theory) and obtaining deeper knowledge in selected topics of algebra, geometry, logic, or combinatorics. The aim is to provide sufficient general knowledge of modern structural mathematics and to bring the students on the threshold of independent research activity. The emphasis is put on topics taught by instructors who have reached a world recognition in their fields of research. 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 Academic background 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 Mathematical Structures: + group theory, mathematical logic. 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 has very advanced knowledge of algebra, geometry, combinatorics and logic. He/she is in a close contact with the latest results of contemporary research in the selected field. The abstract approach, extensiveness and intensiveness of the programme result in the development of the ability to analyze, structure and solve complex and difficult problems. The graduate can pursue an academic career or realize himself in jobs that involve mastering of new knowledge and control of complex systems. [-]

Master in Mathematics: Mathematics for Information Technologies

Campus Full time 2 years October 2017 Czech Republic Prague

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. [+]

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 Academic background 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. [-]

MSc

Master in Computer Science: Artificial Intelligence

Campus Full time 2 years October 2017 Czech Republic Prague

The study branch Artificial Intelligence provides education in the area of theoretical and applied knowledge for design of intelligent systems in various areas including data analysis, automated problem solving, and robotic applications. The emphasis is put on deep understanding of formal theoretical foundations and their practical applicability. [+]

The study branch Artificial Intelligence provides education in the area of theoretical and applied knowledge for design of intelligent systems in various areas including data analysis, automated problem solving, and robotic applications. The emphasis is put on deep understanding of formal theoretical foundations and their practical applicability. Students will gain knowledge about design of efficient data structures, about formal modeling of problems and knowledge by using techniques of mathematical logic and probability theory, about algorithms (classical and nature-inspired) for problem solving, for control of autonomous agents, for machine learning, and for data mining, and about complexity analysis of computational methods. The students will learn how to apply these techniques and how to extent them both for abstract (data) and physical (robotic) worlds in single-agent and multi-agent environments. The study branch Artificial Intelligence can be studied in three core areas: intelligent agents, machine learning, and robotics. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer) 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. 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates Graduates can apply and further extend techniques for the design of intelligent systems, including knowledge modelling and formal modelling of complex systems by means of mathematical logic and probability theory, automated problem solving, planning and scheduling, control of autonomous agents (both virtual and physical), machine learning, and data mining. They are also able to analyse and formally model a complex decision problem, propose an appropriate solving technique, and implement it. Graduates can work in research and development in either academia or industry in any position requiring logical reasoning, analytical capabilities, an algorithmic approach, and the exploitation of modern methods of computer science (declarative and nature-inspired programming). [-]

Master in Computer Science: Computer Graphics and Game Development

Campus Full time 2 years October 2017 Czech Republic Prague

The study branch consists of two closely related specializations, Computer Graphics and Computer Game Development. The Computer Graphics specialization offers training in a wide range of visual sciences, including geometric modeling, rendering (image synthesis) as well as the basics of image analysis and computer vision. [+]

The study branch consists of two closely related specializations, Computer Graphics and Computer Game Development. The Computer Graphics specialization offers training in a wide range of visual sciences, including geometric modeling, rendering (image synthesis) as well as the basics of image analysis and computer vision. The Computer Game Development specialization focuses - apart from computer graphics techniques - mainly on artificial intelligence and intelligent agent systems, as well as on software engineering skills necessary for the development of large-scale gaming projects. Both specializations place emphasis on general programming skills, both at the system level closer to the hardware, as well as on the higher level of modern programming languages. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates Graduates have expertise in the design and development of graphical systems and computer games, but they can work in any position which requires logical thinking, analytic and algorithmic approaches or the use of methods of computer science. Depending on the chosen specialization, graduates have a deep knowledge of computer graphics and image analysis, and their expertise covers the development of large-scale gaming projects, real-time applications, programming of portable devices, as well as the foundations of artificial intelligence and computer graphics in the context of computer games. Graduates can apply this knowledge to solve specific practical tasks. They can work in research and development both in the private sector and in academia. [-]

Master in Computer Science: Discrete Models and Algorithms

Campus Full time 2 years October 2017 Czech Republic Prague

Study plans Discrete mathematics and combinatorial optimization and Mathematical structures in computer science provide advanced knowledge in the fields of applied mathematics and computer science. An emphasize is put on up-to-date theoretical and applied questions in the area. [+]

Study plans Discrete mathematics and combinatorial optimization and Mathematical structures in computer science provide advanced knowledge in the fields of applied mathematics and computer science. An emphasize is put on up-to-date theoretical and applied questions in the area. Study plans Optimization and Mathematical economics provide skills to solve difficult technical and economical problems with the use of optimization methods and suitable methods in mathematical economy. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer Conditions for admission 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates Graduates have a broad range of possibilities to work in areas connected with applied mathematics and computer science. Graduates are able to solve complicated technical and economical decision problems. Solutions of these problems are based on methods of mathematical optimization and on methods solving conflict situations. Deep knowledge of modern mathematical methods enables the graduate to design mathematical models in complicated economical situations. Education in computer science provides skills to implement effectively the solutions with the use of fast computers. [-]

Master in Computer Science: Software and Data Engineering

Campus Full time 2 years October 2017 Czech Republic Prague

The study branch Software and data engineering aims at expertise in analysis, design and development of complex software solutions, and systems focused on big data processing. The portfolio of courses provided in the study covers a number of technological platforms, from classic, web-based, to modern cloud and distributed solutions. [+]

The study branch Software and data engineering aims at expertise in analysis, design and development of complex software solutions, and systems focused on big data processing. The portfolio of courses provided in the study covers a number of technological platforms, from classic, web-based, to modern cloud and distributed solutions. A required part of the study is a work on large software project where students apply not only the theoretical knowledge and technological skills but also team work abilities. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer 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. 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates The graduate gains a deep knowledge of software and data engineering based on her/his specialization. With the specialization Software Engineering the graduate is able to analyse requirements for software solutions, to design architectures, and to lead the development process. The specialization Software Development prepares the graduate for leading a team of SW developers. The development of internet applications is covered by the specialization Web Engineering. The graduate of Database Systems is able to design schemas of databases and to implement complex database applications. With the Big Data Processing specialization the graduate is prepared for the role of data scientist with abilities in data mining and related data analytics knowledge. [-]

Master in Computer Science: Software Systems

Campus Full time 2 years October 2017 Czech Republic Prague

The study branch puts emphasis on system-oriented programming in one of three focus domains. The System Programming domain focuses on coding the basic layers of a computer system (middleware, operating system). In the Dependable Systems domain, the curriculum deals with systematic construction of systems with high reliability, such as embedded and real-time systems. [+]

The study branch puts emphasis on system-oriented programming in one of three focus domains. The System Programming domain focuses on coding the basic layers of a computer system (middleware, operating system). In the Dependable Systems domain, the curriculum deals with systematic construction of systems with high reliability, such as embedded and real-time systems. The High Performance Computing branch introduces techniques for software development on high performance computing systems (highly parallel systems, distributed systems, clouds). All focus domains pay attention to both the programming tools and methods and the associated architectural knowledge. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates Graduates will have an expertise in the team development of software systems, their analysis, design, implementation and deployment in the real world including an evaluation. They will acquire during the study an ability to flexibly react to the continual advancement of new techologies. They will have knowledge from the areas of database systems, architectures and principles of system environments and software systems, modern internet techologies, computer graphics etc. [-]

Master in Computer Science: Theoretical Computer Science

Campus Full time 2 years October 2017 Czech Republic Prague

The goal of the study program is to prepare graduates with a deep and broad enough background in computer science which is based on mastering its theoretical foundations. These foundations are extended by specialized courses giving graduates a good overview in areas of computer science such as complexity and computability, design and analysis of algorithms, and artificial intelligence. [+]

The goal of the study program is to prepare graduates with a deep and broad enough background in computer science which is based on mastering its theoretical foundations. These foundations are extended by specialized courses giving graduates a good overview in areas of computer science such as complexity and computability, design and analysis of algorithms, and artificial intelligence. The deep theoretical knowledge then allows graduates to faster absorb new findings in the developing areas of computer science and to contribute actively to the advancement of the state-of-the-art. 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: Master of Computer Science. All study branches: Computer Science (4 problems, e.g., logic, automata theory, programming, theoretical computer 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 Academic background 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 Computer Science: background in calculus, linear algebra, discrete mathematics, probability, logic, computer programming, algorithms and data structures, computer organization, and the theory of automata and formal grammars. Information on the exercise of graduates The graduates can work in research and development in the area of software production for industrial applications, state administration, and in consulting companies. They can work at any position which requires logical thinking, analytical capabilities, algorithmic approach to problem solving, and exploitation of modern methods of computer science (artificial intelligence, knowledge representation, declarative programming, machine learning, biologically inspired paradigms, and multi-agent systems). The graduates can work at universities and continue in PhD studies. The acquired education also allows the graduates to work as programmers at any position. [-]

Master in Mathematics: Financial and Insurance Mathematics

Campus Full time October 2017 Czech Republic Prague

This programme provides theoretical and applied education in financial and insurance mathematics. Solid mathematical background provides the foundations for developing disciplines of mathematical modelling in insurance and banking industry and other financial areas. The graduate is able to develop financial and insurance products and analyze their profitability and risk. [+]

This programme provides theoretical and applied education in financial and insurance mathematics. Solid mathematical background provides the foundations for developing disciplines of mathematical modelling in insurance and banking industry and other financial areas. The graduate is able to develop financial and insurance products and analyze their profitability and risk. 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 (2 problems) Probability and Statistics (1 problem) Financial Mathematics (1 problem) 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 Academic background 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 Financial and Insurance Mathematics: + mathematical statistics, Markov chains, financial mathematics. 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 has deeper knowledge of basic mathematical disciplines (mathematical analysis, algebra) and special knowledge in the fields of probability and statistics, stochastic processes, mathematical methods in finance, life and non-life insurance, advanced financial management, risk theory, accounting, and modelling with progressive systems (mathematica). The knowledge provides tools for effective modelling of financial and insurance products, analysis of their profitability and risk, and other characteristics important for effective financial management. [-]

Master in Mathematics: Mathematical Analysis

Campus Full time 2 years October 2017 Czech Republic Prague

Mathematical analysis programme offers students advanced knowledge of mathematical fields traditionally forming mathematical analysis (real function theory, complex analysis, functional analysis, ordinary and partial differential equations). It is characterized by depth of insight into individual topics and emphasis on their mutual relations and interconnections. [+]

Mathematical analysis programme offers students advanced knowledge of mathematical fields traditionally forming mathematical analysis (real function theory, complex analysis, functional analysis, ordinary and partial differential equations). It is characterized by depth of insight into individual topics and emphasis on their mutual relations and interconnections. Basic knowledge of these topics on an advanced level is provided by a set of compulsory courses. Elective courses deepen the knowledge of selected fields, especially those related to the diploma thesis topic. Seminars provide contact with contemporary mathematical research. Mathematical analysis has close relationships with other mathematical disciplines, such as probability theory, numerical analysis and mathematical modelling. Students become familiar with these relationships in some of the elective courses. The programme prepares students for doctoral studies in mathematical analysis and related subjects. Applications of mathematical theory, theorems and methods to applied problems broaden the qualification to employment in a non-research environment. 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 Academic background 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 Mathematical Analysis: + general topology, functional analysis, ordinary and partial differential equations. 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 has acquired advanced knowledge in principal fields of mathematical analysis (real function theory, complex analysis, functional analysis, ordinary and partial differential equations), understands their interconnections and relations to other mathematical disciplines. He/she is able to apply advanced theoretical methods to real problems. The programme prepares students for doctoral studies but acquired knowledge and abilities can be put into use in practical occupations as well. [-]

Master in Mathematics: Mathematical Modelling in Physics and Technology

Campus Full time 2 years October 2017 Czech Republic Prague

Mathematical modelling is an interdisciplinary field connecting mathematical analysis, numerical mathematics, and physics. The curriculum is designed to provide excellent basic knowledge in all these disciplines and to allow a flexible widening of knowledge by studying specialized literature when the need arises. [+]

Mathematical modelling is an interdisciplinary field connecting mathematical analysis, numerical mathematics, and physics. The curriculum is designed to provide excellent basic knowledge in all these disciplines and to allow a flexible widening of knowledge by studying specialized literature when the need arises. All students take compulsory courses in continuum mechanics, partial differential equations, and numerical mathematics. The students will acquire ability to design mathematical models of natural phenomena (especially related to continuum mechanics and thermodynamics), analyze them, and conduct numerical simulations. After passing the compulsory classes, the students get more closely involved with physical aspects of mathematical modelling (model design), with mathematical analysis of partial differential equations, or with methods for computing mathematical models. The grasp of all levels of mathematical modelling (model, analysis, simulations) allows the students to use modern results from all relevant fields to address problems in physics, technology, biology, and medicine that surpass the scope of the individual fields. Graduates can pursue academic or commercial careers in applied mathematics, physics and technology. 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 Academic background 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 Mathematical Modelling in Physics and Technology: + classical mechanics, functional analysis, ordinary and partial differential equations. 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 has mastered methods and results in continuum mechanics and thermodynamics, mathematical analysis of partial differential equations, and numerical mathematics and is ready to widen his/her knowledge by studying specialized literature. He/she can formulate questions regarding the physical substance of natural phenomena, especially those related to the behaviour of fluids and solid matter in the framework of classical physics, with applications to technology, medicine, biology, geophysics, and meteorology. He/she can choose appropriate mathematical models for such phenomena, perform its mathematical analysis, and conduct numerical simulations with suitable methods. He/she can critically analyze, evaluate, and tie in the whole modelling process. In simpler cases, he/she is able to assess the errors in the modelling process and predict the agreement between the numerical results and the physical process. The graduate is ready to work in interdisciplinary teams. He/she can pose interesting questions in a format ready for mathematical investigation and use abstract mathematical results for addressing applied problems. [-]

Master in Mathematics: Numerical and Computational Mathematics

Campus Full time 2 years October 2017 Czech Republic Prague

This programme focuses on design, analysis, algorithmization, and implementation of methods for computer processing of mathematical models. It represents a transition from theoretical mathematics to practically useful results. An emphasis is placed on creative use of information technology and production of programming applications. [+]

This programme focuses on design, analysis, algorithmization, and implementation of methods for computer processing of mathematical models. It represents a transition from theoretical mathematics to practically useful results. An emphasis is placed on creative use of information technology and production of programming applications. An integral part of the programme is verification of employed methods. The students will study modern methods for solving partial differential equations, the finite element method, linear and non-linear functional analysis, and methods for matrix calculation. They will choose the elective courses according to the topic of their master’s thesis. They can specialize on industrial mathematics, numerical analysis, or matrix calculations. 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 Academic background 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 Numerical and Computational Mathematics: + numerical mathematics, functional analysis, ordinary and partial differential equations. 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 has attained knowledge needed for numerical solution of practical problems from discretization through numerical analysis up to implementation and verification. He/she can choose an appropriate numerical method for a given problem, conduct its numerical analysis, and implement its computation including analysis of the numerical error. The graduate can critically examine, assess, and tune the whole process of the numerical solution, and can assess the agreement between the numerical results and reality. He/she can conduct analytical approach to the solution of a general problem based on thorough and rigorous reasoning. The graduate is qualified for doctoral studies and for employment in industry, basic or applied research, or government institutions. [-]

Master in Mathematics: Probability, Mathematical Statistics and Econometrics

Campus Full time 2 years October 2017 Czech Republic Prague

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 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 Academic background 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. [-]

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Prague, 121 16 CZ