It is an interdisciplinary study program 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 collaboration among specialist from different areas is needed. Typically, the physicists and engineers construct 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 program 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.

*The program does not contain specializations.*

Description of verification and evaluation criteria

Description of verification and evaluation criteria

**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 successfully passed the language examination or they got a waiver of it.

**Invitation to the 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 2019. 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 program. The committee gives the applicant three questions related to the chosen study program. 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 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 containing 100 questions (completing gaps in a text, i.e. choosing the correct word for each gap). 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 correct answers.

Conditions for admission

Conditions for admission

Admission to Doctoral studies is conditioned by successful completion of a Master's study program.

Verification method: |
entrance exam |

Confirmation date (of entrance exam) |
from: 20.06.2019 until: 21.06.2019 |

Alternative date (of entrance exam) |
from: 28.06.2019 until: 28.06.2019 |

Rules governing exemption from entrance examination

Rules governing exemption from entrance examination

**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 approval of a future supervisor, and for whom at least one of the following conditions applies:

- their work has been recognized in the SVOČ competition in computer science, mathematics, or teaching of mathematics (for study programs in the fields of Computer Science and Mathematics);
- their work has been recognized at the Czech-Slovak Student Conference on Physics (for study programs in the field of Physics);
- 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;
- they have finished a master's study program in the field of Physics, Computer Science, or Mathematics in the academic year 2018/2019, and their grade in each part of the state final examination is „excellent“ or „very good“ (for study programs in the field of Physics, Computer Science, and Mathematics);
- they have gained at least 120 credits in the master's study program in the field of Physics, Computer Science, or Mathematics in academic years 2018/19 and 2019/20, 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 programs in the field of Physics, Computer Science, and Mathematics);
- 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, 2019, 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
- TOEFL (paper) – 550 points
- TOEFL (computer) – 213 points
- TOEFL (internet) – 80 points
- IELTS – 6.5 points
- Cambridge ESOL CPE
- Cambridge ESOL CAE
- Cambridge ESOL FCE – (Grade A, B, C)
- City & Guilds International ESOL IESOL and ISESOL, expert level
- TELC (The European Language Certificates) – TELC English level C1
- UNIcert – level C1
- Melab – 77 points
- Examination for the Certificate of Proficiency in English (ECPE)
- Test of English for International Communication (TOEIC) – 605 points
- International ESOL and Spoken ESOL – Expert LanguageCert and Mastery LanguageCert

The language examination waiver and the compliance with one of the conditions mentioned above must be requested before April 30, 2019 (or, in exceptional cases, before September 30, 2019).

**Career Prospect**

The holder of the diploma graduated from the doctoral study of a program which is combined between mathematics and classical physics and is directed to modeling in the physics of solids, liquids, and gases with possible applications in the material science, geophysics, biology or medicine. Due to the content of the doctoral thesis the student dealt with creation or properties of models in mechanics and thermodynamics of fluids and solids, the connected mathematical or numerical analysis of the corresponding systems of partial differential equations or their numerical solution. The graduates of this program have good knowledge of mathematical and numerical analysis, classical physics and applications of numerical methods, and are able to formulate, analyze and numerically solve real-world problems.

** Program taught in:**

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per academic year. Online Application fee: 540 CZK.