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    Branch programme/details

    Mathematical Structures (0541TA170020)

    Faculty: Faculty of Mathematics and Physics
    Study programme: Mathematical Structures (N0541A170020)
    Form of study: full-time
    Type of study: Master's (post-Bachelor)
    Language of instruction: English
    Standard length of study: 2 years
    Application type: Online, Paper

    • You cannot apply for study of this programme/branch now.

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      Application submission date: 30.04.2020
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      The master level program "Mathematical structures" is aimed at broadening student's general mathematical background in algebra, geometry, combinatorics and mathematical logic, and at acquiring a deeper knowledge in selected parts of these areas. The aim is to offer a fairly general overview of modern structural mathematics as well as leading the student towards an independent creative work. The emphasis is on areas in which we have lecturers that are on top of their fields.
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      ** Conditions for Admission**

      The goal of the admissions review process is to select from the pool of applicants those individuals who have shown the capability and diligence expected of Charles University students. To apply for our Computer Science or Mathematics Master's programmes given in English you must

      - hold or be working towards a Bachelor’s or Master’s diploma and provide a certified copy thereof;
      - 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).

      ** Bachelor’s or Master’s Diploma**

      Each applicant into a Master’s programme must deliver an officially authorized copy of a Bachelor’s or Master’s diploma, or a confirmation of a faculty or university concerning a successful completion of Bachelor’s or Master’s studies. This requirement does not apply to students and graduates of Bachelor’s or Master’s studies at the Faculty of Mathematics and Physics of the Charles University.
      The applicants who graduated from a higher education institution abroad, must deliver one of the following documents in order to prove their previous education: a document about a general recognition of foreign higher education in the Czech Republic obtained according to § 89 and 90 of the higher education law of the Czech Republic (so called "nostrification"), or a foreign document about a foreign higher education if it is automatically recognized in the Czech Republic, according to its international agreements, without further official processing (diploma and diploma supplements from Slovakia, Poland, Hungary, Slovenia), or a foreign document about completing higher education which will be assessed by the faculty itself (no fee is being charged). Detailed information on how the condition of obtaining previous Bachelor’s or Master’s degree should be proven by the alumni of foreign higher education institutions, as well as additional information, may be found on faculty webpages, here: https://www.mff.cuni.cz/en/students/general-rules/recognition-of-foreign-university-degrees-and-studies. The officially authorized documents must be physically sent to the Study Office of the Faculty of Mathematics and Physics preferebly by June 30, 2020, and by September 30,2020 at the latest. If you do not deliver the document about a completed education, you will be neither accepted nor enrolled for Master’s studies.
      In addition to this, depending on the programme for which you are applying, you also must:

      - **Mathematics programmes:** - have sufficient academic background in the relevant fields (see below for details); this can be demonstrated by providing transcripts (academic records) of your previous education accompanied by syllabi of the completed courses.

      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.

      **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’s Degree in Mathematics**

      Common requirements: a sound background in linear algebra, real and complex analysis, measure theory, and probability theory.

      - Study programme Mathematical Structures: common requirements + 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. These 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 concerned, the official records in their original language must be submitted with an authorized, complete, and exact English
      translation.

      **English Language Proficiency**

      An applicant must have an adequate command of English in order to enroll on an English-taught programme at Charles University. Proficiency in English may be demonstrated by one of the standard language tests listed below; any language test results should not be older than two years. Students who have completed at least two years of their previous education with English as the sole language of instruction in Australia, Canada, Ireland, New Zealand, UK, Republic of South Africa or USA are exempt from this requirement. Applicants who provide us with comparable qualifications demonstrating proficiency in English also meet our requirements.

      The table below lists the various tests of English that we recognize, and gives the minimum score that should be obtained.

      ** Test Minimum Score**

      TOEFL Paper/Computer/Internet based 550/213/80
      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
      General State Language Examination in English in the Czech Republic Pass
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      Admission to Master's studies is conditioned by completed secondary education confirmed by a school-leaving certificate. Admission to Post-Bachelor studies (Master's programme) is likewise conditioned by completed education in any type of study programme.

      Verification method: other form
      Confirmation date (of entrance exam) from: Until:
      Alternative date (of entrance exam):
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      A graduate of the program has advanced knowledge of algebra, geometry, combinatorics and mathematical
      logic. These enable him or her to understand and to contribute to recent research. The abstract nature of the
      field, the depth and the difficulty of the study, lead to a development of the graduate's ability
      to analyse, structure and solve various problems of complex and abstract nature. Besides academia
      the graduate will function well in various positions where it is required to understand and to be able to use
      new advances and large systems.
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      Tuition [CZK] / per period: 140000 CZK / year
      Note on tuition [CZK]: The tuition fee for students from the EU is 84 000 CZK per academic year.