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    Branch programme/details

    Mathematical analysis (0541VD170016)

    Faculty: Faculty of Mathematics and Physics
    Study programme: Mathematical analysis (P0541D170016)
    Form of study: full-time
    Type of study: doctoral
    Language of instruction: English
    Standard length of study: 4 years
    Application type: Online, Paper
    Possibility of exemption from entrance examination: yes

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

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      Application submission date: 30.04.2022
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      Admission for studies
      Admission for studies in one of our doctoral study programmes taught in English will be granted to the applicants, who
      • Submitted a complete application form together with all obligatory attachments before the deadline,
      • successfully passed the entrance examination or they were granted an entrance examination waiver,
      • successfully passed the language examination or they got a waiver of it

      Invitation to subject entrance examination

      The invitation to the subject entrance examination will be sent to those applicants, who
      • submitted a complete application together with its obligatory attachments 2,3 and 4 before the deadline,
      • paid the application fee,
      • did not obtain the confirmation of the waiver of the subject entrance examination before mid-May, 2022.The invitation to an entrance examination is delivered through the University Electronic Information System. In mid-May, 2022, all applicants without a waiver receive an invitation to take the entrance examination from the Faculty of Mathematics and Physics. If the Faculty approves the waiver, the invitation ceases to apply.

      Entrance examination

      The entrance examination consists of two parts, subject and language one. The subject part of the entrance examination takes the form of a discussion about the chosen study programme. The committee gives the applicant three questions related to the chosen study programme. The committee judges the correctness of the answer, the knowledge of the field and overall readiness for doctoral studies. Each answer is evaluated on the binary Pass/Fail scale. The applicant must obtain three passing grades. If the applicant has chosen one of the thesis topics offered by the faculty and has obtained an approval of a future supervisor, or if the committee accepts the annotation of the applicant‘s own topic, the applicant will successfully pass the exam with only two passing grades from three questions.
      The language entrance examination consists of a written test. The applicant may obtain a maximum of 100 points, the threshold for passing the exam is 50 points.
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      Admission to Doctoral studies is conditioned by successful completion of a Master's study programme.

      Verification method: entrance exam
      Confirmation date (of entrance exam) from: 20.06.2022 Until: 21.06.2022
      Alternative date (of entrance exam): 28.06.2022 Until: 28.06.2022
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      Waiver conditions of the subject entrance examination
      The subject entrance examination may be waived for applicants who have chosen one of the thesis topics offered by the faculty and obtained an approval of a future supervisor, and for whom at least one of the following conditions applies:
      1. their original scientific work on a relevant topic has been published, or has been accepted for publication, in a reviewed medium indexed by MathSciNet, SCOPUS or ISI Web of Knowledge databases;
      2. they have achieved excellent results in their master's study programme in the field of Physics, Computer Science, or Mathematics;
      3. they have achieved other remarkable results testifying their ability for doctoral studies.

      It is necessary to apply for the waiver and prove that the applicant satisfies some of the above conditions, by no later than May 31, 2022

      Conditions for a language examination waiver

      The language examination will be waived if the applicant fulfills at least one of the following waiver conditions:

      A. The applicant spent at least two years of his/her previous education at secondary or university level with English as the sole language of instruction in one of the following countries: Australia, Canada, India, Ireland, Malta, New Zealand, South Africa, UK or USA.

      B. The applicant does not need to take the language examination of English if (s)he has already passed one of the following exams (in some cases we recognize the exam only with a minimum score or level):
      • General State Language Examination in English in the Czech Republic
      • examination in English at Charles University, Faculty of Mathematics and Physics
      • TOEFL (paper) – 550 points
      • TOEFL (computer) – 213 points
      • TOEFL (internet) – 80 points
      • IELTS – 6.5 points
      • C2 Proficiency (formerly known as CPE) - Pass
      • C1 Advanced (formerly known as CAE) - Pass
      • B2 First (formerly known as FCE) – Grade A
      • City&Guilds International ESOL, or City&Guilds International Spoken ESOL: Expert level - expert level
      • TELC (The European Language Certificates) – TELC English C1 - Pass
      • UNIcert English for Mathematicians: Level C1 – level C1
      • Melab – 77 points
      • Examination for the Certificate of Proficiency in English (ECPE) - Pass
      • Test of English for International Communication (TOEIC) – 605 points

      The language examination waiver and the compliance with one of the conditions mentioned above must be requested before the deadlines mentioned above.
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      The graduate has gained deep theoretical knowledge as well as practical skills of techniques of advanced mathematical analysis. He/She is capable of solving difficult problems requiring analytical mind. He/She is able to understand a given task well, to suggest an optimal method of solution and finally to carry out the solution. He/She can be a significant asset to any field of human activity which requires the ability of analytical thinking, for example in science and research in natural, applied or social sciences, in both academic and commercial sphere, home or abroad.