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    Branch programme/details

    Mathematical and Computer Modeling (0541VD170011)

    Faculty: Faculty of Mathematics and Physics
    Study programme: Mathematical and computer modeling (P0541D170011)
    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: 30.04.2021
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      It is an interdisciplinary study branch which connects classical physics (particularly continuum mechanics and thermodynamics) with mathematical analysis and numerical mathematics. The student should go through the construction or understanding of the physical model, its mathematical analysis up to its numerical solution.
      Due to the complexity of problems studied both in the research and in the praxis a closed colaboration among specialist from different areas is needed. Typically, the physicists and engineers contruct the models and mathematicians study the mathematical properties of the models and solve the models numerically. These specialists often use different languages to describe the same problem. The graduates of this programme should be able to communicate with all of them and are therefore prepared to lead such groups. Moreover, they should also be prepared to solve simpler problems by themselves: from the construction of the model through its analysis up to its numerical solution.
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      Admission for studies
      Admission for studies will be granted to the applicants, who
      • Submitted a complete application form together with all obligatory attachments before the deadline,
      • they were granted an entrance examination waiver or they successfully passed the entrance examination,
      • they were granted a language examination waiver or they successfully passed 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 2021.
      The invitation to an entrance examination is delivered through the University Electronic Information System. In mid-May 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 test for which the applicant may obtain a maximum of 100 points. The exam verifies that the applicant has an adequate command of the English language, i.e. at least at level B2 of the Common European Framework of Reference for Languages (CEFR). This is an equivalent of 50 points. All applicants with a score between 50 and 79 points who will complete all other necessary admission requirements will be obliged to include an English course for PhD. students offered by the Faculty as an obligatory part of their individual study plans.


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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: 17.06.2021 Until: 18.06.2021
      Alternative date (of entrance exam): 25.06.2021 Until: 25.06.2021
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      In the released conditions for admission to the academic year 2021/22 has been changed the following:

      Entrance examination dates: July 12, 2021 – July 13, 2021

      Alternative entrance examination date: July 20, 2021, can be requested for serious reasons only


      Waiver conditions of the subject entrance examination

      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, 2021 in case of points 1,2,3, and 6, by July 7 in case of point 4 and by June 14 in case of point 5.
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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 work has been recognized in the SVOČ competition in computer science, mathematics, or teaching of mathematics (for study programmes in the fields of Computer Science and Mathematics);
      2. their work has been recognized at the Czech-Slovak Student Conference on Physics (for study programmes in the field of Physics);
      3. 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;
      4. they have finished a master's study programme in the field of Physics, Computer Science, or Mathematics in the academic year 2020/2021, and their grade in each part of the state final examination is „excellent“ or „very good“ (for study programmes in the field of Physics, Computer Science, and Mathematics);
      5. they have gained at least 120 credits in the master's study programme in the field of Physics, Computer Science, or Mathematics in academic years 2019/20 and 2020/21, and their average study grade (according to the Code of Study and Examination, Art. 8, Par. 13) is at most 1.5, where 1=„excellent“, 2=„very good“, and 3=„satisfactory“ (for study programmes in the field of Physics, Computer Science, and Mathematics);
      6. they have achieved other 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, 2021 in case of points 1,2,3,5 and 6, and by June 20 in case of point 4.

      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 (including the entrance examination from English for Ph.D. studies)
      • TOEFL (ITP) – 627 points
      • TOEFL (iBT) – 95 points
      • IELTS – min. 7 points
      • Cambridge English Certificate: C1 Advanced
      • Cambridge English Certificate: C2 Proficiency
      • Unicert – min. level C1
      • LanguageCert: C1 Expert
      • LanguageCert: C2 Mastery
      The language examination waiver and the compliance with one of the conditions mentioned above must be requested before April 30, 2021 (or, in exceptional cases, before September 30, 2021).
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      The holder of the diploma graduated from the doctoral study programme which is focused on the modelling in classical physics, especially in continuum mechanics and thermodynamics with possible applications in material science, geophysics, biology and medicine. Due to the subject of the doctoral thesis the graduate studied the problem deeper either from the point of view of physics, i.e., his/her thesis was mainly devoted to the construction and verification of different models of continuum physics, or from the point of view of mathematics, i.e. his/her thesis was mainly devoted to the mathematical analysis or numerical solution of these models. The graduates of the programme have good knowledge in mathematics, physics and scientific computations and they are able to formulate, analyze and numerically solve real world problems. They can find occupation either in academia or in commercial sphere.