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    General and faculty requirements


    Faculty of Mathematics and Physics

    Contact information

    Street: MFF UK - Ke Karlovu 3
    Municipality: Praha 2
    Postcode: 121 16
    Municipality: Prague
    WWW: https://www.mff.cuni.cz

    Bachelor's study programmes

    Contact person: Petra Okrouhliková
    Phone number: +420 951 551 210
    E-mail address: petra.okrouhlikova@matfyz.cuni.cz

    Other information

    Doors open day: November 21st, 2023 - from 9 am till 4 pm
    Address: V Holešovičkách 747/2, Prague 8, faculty campus or depending on the situation through the webapps.
    Contact person: Mgr. Luboš Veverka
    phone: +420 951 551 660
    E-mail: lubos.veverka@matfyz.cuni.cz

    http://www.mff.cuni.cz/verejnost/dod/
    Information on the admission procedure: **Bachelor’s Entry Requirements**

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

    Please note that all required documents must be physically delivered to the Department of Student Affairs of the Faculty of Mathematics and Physics preferably by June 30, 2024, and by September 30, 2024 at the latest. If you do not deliver them as required, you will be neither accepted nor enrolled for Bachelor's studies.

    To submit your scores electronically, please use the following Institution codes: TOEFL 3184, SAT 7249, ACT 6790, IB 000147.

    **High School Graduation Certificate (Diploma)**

    Each applicant into a Bachelor programme must deliver an officially authorized copy of a secondary school graduation certificate and, if the school certificate does not clearly show the content and scope of subjects that were studied, also certified secondary school transcripts with an official translation into English or Czech (if issued in a different language to these). Those applicants, who completed their secondary education at a secondary school abroad, must deliver one of the following documents:
    - a document about a general recognition of equality or validity of a foreign secondary school graduation certificate in the Czech Republic (so-called "nostrification"), or

    - a document confirming obtaining a European Baccalaureate, or

    - a foreign document about a foreign secondary school education if it is automatically recognized in the Czech Republic, according to its international agreements, without further official processing (secondary school graduation certificate from Slovakia, Poland, Hungary, Slovenia), or

    - a foreign document about completing secondary education which will be assessed by the faculty itself (no fee is being charged).

    Detailed information on how the condition of obtaining secondary education should be proven by the alumni of foreign secondary schools, as well as additional information, may be found on faculty "webpages", here: https://www.mff.cuni.cz/en/students/general-rules/assessment-of-secondary-school-certification-and-studies-for-applicants-to-bachelor-s-programmes-of-study.

    The officially authorized documents must be physically sent to the Study Office of the Faculty of Mathematics and Physics preferably by June 30, 2024, and by September 30, 2024, at the latest. If you do not deliver the document about a completed education, you will be neither accepted nor enrolled for Bachelor's studies.

    If you have not completed your secondary education yet but will complete it soon, let us know. You can provide us with the documentation later; however, you must have completed your studies before enrolment.

    **Reasoning Requirements**

    The table below summarizes the minimum Reasoning Requirements for the undergraduate Computer Science programme at Charles University. You must have at least one of the qualifications listed here or provide us comparable results for other recognized qualifications such as Irish Leaving Certificate, German Abitur, Bagrut in Israel or STMP in Malaysia (specific required scores for other internationally recognized qualifications may be provided on request). Any test results should not be older than three years.

    **Minimum Qualifications**

    AP Calculus AB - score 5
    AP Calculus BC – score 4 or 5
    SAT Composite Score 1240, including a score in Mathematics of at least 690
    ACT Composite Score 26, including a score in Mathematics of at least 30
    International Baccalaureate Diploma 32, including a score in Mathematics HL or Further Mathematics HL of at least 6
    GCE A Levels (not including General Studies, Critical Thinking or Key Skills) A A B, including an A in Mathematics

    Compliance with the admission requirements for the Computer Science programme given in Czech is an alternative to the above minimum Reasoning Requirements.

    **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 (i.e. CEFR level C1) 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 iBT 85
    TOEFL Essentials 9 Pass
    TOEIC Listening and Reading 750
    The International English Language Testing System (IELTS) 6.5
    Cambridge B2 First (formerly FCE) 180 (Grade A)
    Cambridge C1 Advanced (formerly CAE) Pass
    Cambridge C2 Proficiency (formerly CPE) Pass
    SAT - Evidence-Based Reading and Writing 550
    ACT - English and Reading 24
    International Baccalaureate - English 6
    The European Language Certificates (TELC) English C1 Pass
    UNIcert English for Mathematicians Level C1 Pass
    Duolingo 105
    Michigan English Test (MET) 64
    Examination for the Certificate of Proficiency in English (ECPE) Pass
    General State Language Examination in English in the Czech Republic Pass
    Application form requisites: **Information on the Admission Procedure**

    How to apply:

    1. Take the standardized tests (SAT, ACT, TOEFL, …) and submit your scores. We strongly recommend that applicants complete their standardized tests in time.

    2. Collect all required documents and information, including personal details (name, date and place of birth, citizenship, permanent address, correspondence address, email address, passport number), name and address of your secondary school, school leaving certificate and related documents, standardized test scores.

    3. Fill in the electronic application form. "Here":https://www.mff.cuni.cz/admission/wp-content/uploads/2013/02/sampleapplication.pdf you can view a sample application in pdf; it consists of a Czech and English part. Please note that the pdf that is generated from your online application is for your reference only; in particular, please do not send it to us.

    4. Submit the application online. If you have any questions regarding your application, please write to admission@mff.cuni.cz. Please make sure to upload with your application all required documents as specified above. For TOEFL, SAT, ACT and IB, you should have your test scores sent directly to Charles University, Faculty of Mathematics and Physics. Here are our institution codes: TOEFL 3184, SAT 7249, ACT 6790, IB 000147.

    Please note that an application cannot be processed without the required documents having been received, nor can it be processed if the application fee has not been paid. If the applicant has not paid the application fee in full and this deficiency has not been eliminated even within an additionally set deadline, the admission procedure shall be terminated. Also, for enrolment we require an official copy of every document that you have submitted with your application (i.e., to submit your application a scanned copy of the relevant document is sufficient, but to complete the admission process you must provide an official document – e.g., a copy verified by a notary, or an original).
    Contact person: Bc. Eliška Zábrodská
    Phone number: +420 951 551 217
    E-mail address: eliska.zabrodska@matfyz.cuni.cz

    Other information

    Doors open day: November 21st, 2023 - from 9 am till 4 pm
    Address: V Holešovičkách 747/2, Prague 8, faculty campus or depending on the situation through the webapps.
    Contact person: Mgr. Luboš Veverka
    phone: +420 951 551 660
    E-mail: lubos.veverka@matfyz.cuni.cz

    http://www.mff.cuni.cz/verejnost/dod/
    Information on the admission procedure: **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 capability and diligence expected of Charles University students. To apply for our Computer Science, Mathematics or Physics 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 academic background in the relevant fields,
    - 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).

    Please note that in the case of Computer Science programmes, the deadline for submitting the take-home assignment is May 31, 2024. All other required documents must be physically delivered to the Department of Student Affairs of the Faculty of Mathematics and Physics preferably by June 30, 2024, and by September 30, 2024 at the latest. If you do not deliver them as required, you will be neither accepted nor enrolled for Master's studies.

    **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 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 a 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":https://www.mff.cuni.cz/en/students/general-rules/assessment-of-university-degrees-and-studies-for-applicants-to-master-s-and-doctoral-studies. The officially authorized documents must be physically sent to the Study Office of the Faculty of Mathematics and Physics preferably by June 30, 2024, and by September 30, 2024, 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.

    **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 Computer Science*

    You must have sufficient academic background in the relevant fields (see below for details); this should be demonstrated by solving a given take-home assignment correctly and on time, and by providing transcripts (academic records) of your previous education accompanied by syllabi of the completed courses (i.e., you must submit both the assignment and the transcript). For the take-home assignment, you may consult your notes, textbooks, Internet resources, friends etc. but the submitted solution must be your own work. To correctly solve the take-home assignment means to obtain at least 70 per cent of the maximum score. The deadline for submitting the take-home assignment is May 31, 2024. Solving the take-home assignment is not obligatory for the applicants for the study programme Computer Science – Language Technologies and Computational Linguistics.

    *Common requirements* for study programmes Computer Science - Theoretical Computer Science, Computer Science – Language Technologies and Computational Linguistics, Computer Science - Discrete Models and Algorithms, Computer Science – Visual Computing and Game Development, Computer Science - Software and Data Engineering, Computer Science - Software Systems, Computer Science - Artificial Intelligence:
    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.

    *Master’s Degree in Mathematics*

    You must 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.

    *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.

    Study programme **Mathematical Analysis:** common requirements + general topology, functional analysis, ordinary and partial differential equations.

    Study programme **Computational Mathematics:** common requirements + numerical mathematics, functional analysis, ordinary and partial differential equations.

    Study programme **Mathematical Modelling in Physics and Technology:** common requirements + classical mechanics, functional analysis, ordinary and partial differential equations.

    Study programme **Probability, Mathematical Statistics and Econometrics:** common requirements + mathematical statistics, Markov chains.

    Study programme **Financial and Insurance Mathematics:** common requirements + mathematical statistics, Markov chains, financial mathematics.

    Study programme **Mathematics for Information Technologies:** common requirements + commutative and computer algebra, theoretical and applied cryptography.

    *Master’s Degree in Physics*

    You must 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.

    *Common requirements:* a sound background in physics, i.e., in mechanics, molecular physics, electricity and magnetism, electrodynamics, optics, theoretical mechanics, thermodynamics, statistical physics, atomic physics, and quantum theory. Appropriate knowledge of mathematical apparatus is expected.

    Study programme **Particle and Nuclear Physics:** Common requirements + basic knowledge of nuclear and particle physics and intermediate knowledge of quantum mechanics.

    - Nuclear and particle physics: Knowledge on the level of an elementary course of nuclear and particle physics (main features and basic models of atomic nuclei, nuclear decays and reactions, elementary particles and their interactions, principles of modern particle experiments and accelerators).

    - Quantum mechanics: Knowledge on the level of an intermediate course of non-relativistic quantum mechanics (basic formalism based on the Hilbert space, stationery and nonstationary problems, perturbative approaches, theory of angular momentum, basic scattering theory, systems composed of identical particles and second-quantization formalism).

    Study programme **Atmospheric Physics, Meteorology and Climatology:** Common requirements +

    - Hydrodynamics - ideal and real fluids motion, concepts of the flow field, hydrodynamic equations, viscous fluid flow.

    - Meteorology and Climatology - basic characteristics of meteorological elements and physical interactions in the climate system.

    Study programme **Surface and Plasma Physics:** Common requirements + fundamentals of condensed matter physics, kinetic theory of gases, and plasma physics.

    Study programme **Physics of Condensed Matter and Materials:** Common requirements + Fundamentals of condensed matter physics - atomic and electronic structure of matter, basics of quantum physics, experimental methods in condensed matter physics.

    Study programme **Optics and optoelectronics:** Common requirements + fundamentals of Fourier optics, Gaussian beams, radiation detectors and methods of measurements of optical properties of matter.

    Study programme **Biophysics and Chemical Physics:** Common requirements +

    - Quantum theory - formal scheme of quantum theory, angular momentum. approximate methods - variational and perturbation methods, structure of atomic spectral lines, many-body problem. Fundamentals of quantum electrodynamics (non-relativistic theory) and of scattering theory.

    - General chemistry - Atomic and molecular masses, isotopes, solutions, concentrations, state functions, partial molar quantities, chemical potential, phase and chemical equilibrium.

    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, India, Ireland, Malta, 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 (i.e., CEFR level C1) 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 iBT 85
    TOEFL Essentials 9 Pass
    TOEIC Listening and Reading 750
    The International English Language Testing System (IELTS) 6.5
    Cambridge B2 First 180 (Grade A)
    Cambridge C1 Advanced Pass
    Cambridge C2 Proficiency Pass
    The European Language Certificates (TELC) English C1 Pass
    UNIcert English for Mathematicians Level C1 Pass
    Duolingo 105
    Michigan English Test (MET) 64
    Examination for the Certificate of Proficiency in English (ECPE) Pass
    General State Language Examination in English in the Czech Republic Pass

    **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 from professors and employers who can comment on your recent professional accomplishments and your qualifications for pursuing a master’s degree in Computer Science, Mathematics or Physics. You should arrange for letters of recommendation to be sent directly by your referees to the email address admission@mff.cuni.cz by May 31, 2024, at the latest.

    Please ask your referees to state “Recommendation letter for [your name], CS/Math/Physics programme” in the Subject of the email.
    Application form requisites: **Information on the Admission Procedure**

    How to apply:

    1. Take the language tests (IELTS, TOEFL,...) and submit your scores. We strongly recommend that applicants complete their tests in time.

    2. Collect all required documents and information, including personal details (name, date and place of birth, citizenship, permanent address, correspondence address, email address, passport number), name and address of your secondary school, school leaving certificate and related documents, standardized test scores.

    3. Fill in the electronic application form. Here (https://www.mff.cuni.cz/admission/wp-content/uploads/2013/02/sampleapplication.pdf) you can view a sample application in pdf; it consists of a Czech and English part. Please note that the pdf that is generated from your online application is for your reference only; in particular, please do not send it to us.

    4. Submit the application online. If you have any questions regarding your application, please write to admission@mff.cuni.cz. Please make sure to upload with your application all required documents as specified above. For TOEFL, you should have your test scores sent directly to Charles University, Faculty of Mathematics and Physics. Our institution code for TOEFL is 3184.

    **Please note that an application cannot be processed without the required documents having been received, nor can it be processed if the application fee has not been paid. If the applicant has not paid the application fee in full and this deficiency has not been eliminated even within an additionally set deadline, the admission procedure shall be terminated. Also, for enrolment we require an official copy of every document that you have submitted with your application (i.e., to submit your application a scanned copy of the relevant document is sufficient, but to complete the admission process you must provide an official document – e.g., a copy verified by a notary, or an original).**

    Ph.D. study programmes

    Contact person: Ing. Daniela Rejnušová
    Phone number: +420 221 911 218
    E-mail address: rejnusova@dekanat.mff.cuni.cz

    Charge for the admission procedure

    Note: All PH.D. study programmes do not contain specializations

    Other information

    Information on the admission procedure: Admission procedure 2024/2025 for
    all doctoral programs taught in English at Charles University, Faculty of Mathematics and Physics, with the exception of the Bioinformatics and Computational Biology program

    To apply for one of our doctoral study programmes taught in English you must hold or be working towards a master's diploma and have the necessary abilities for research. The latter consists mainly of the knowledge of the chosen field, English language, and the ability of independent creative work as well as teamwork. The assessment of these abilities is based on the documents submitted with your application and on the entrance examination, if the latter is not waived (see below). The entrance examination has two parts – examination in the expertise in the field (subject examination) and examination in the English language (language examination).

    The admission procedure commences with the submission of an application form.
    Important dates:
    • Application's submission till April 30, 2024
    • Letters of recommendation are due till April 30, 2024
    • The language examination waiver must be requested and the compliance with one of the conditions for the waiver must be documented till April 30, 2024
    • Application for the waiver of the subject entrance examination as soon as possible, but no later than May 31, 2024
    • Invitation to take the entrance examination in mid-May, 2024
    • Entrance examination dates: June 17 and 18, 2024
    • Alternative entrance examination date: June 25, 2024, can be requested for serious reasons only
    • A document certifying completion of a university education at Master's level needs to be delivered as soon as possible after the application submission, and in any case no later than September 30, 2024.

    If the applicant has submitted an application for recognition of foreign education and no decision has yet been made on it, the deadline for delivery of the document is extended to October 22, 2024. For students graduating between September 1, 2024 and September 30, 2024, the deadline is also extended till October 22, 2024.

    Admission for studies
    Admission for studies in one of our doctoral study programmes taught in English except the programme Physics Education and General Problems of Physics will be granted to the applicants who
    • Submitted a complete application form together with all obligatory attachments before the deadline,
    • successfully passed the subject part of the entrance examination or they were granted a waiver of it,
    • successfully passed the language part of the entrance examination or they were granted a waiver of it.

    Admission for studies to the doctoral study programme Physics Education and General Problems of Physics 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 subject part of the entrance examination and achieved rank 1 in the ranking of applicants,
    • successfully passed the language part of the entrance 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, 2024.

    The invitation to an entrance examination is delivered through the University Electronic Information System. In mid-May, 2024, 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 after sending out the invitation, the invitation ceases to apply.

    Entrance examination to all programmes taught in English, except the programme Physics Education and General Problems of Physics

    The entrance examination consists of two parts, subject part and a language part. 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.

    Entrance examination to the programme Physics Education and General Problems of Physics taught in English
    The entrance examination consists of two parts, subject part and a language part. The subject part of the entrance examination takes the form of a discussion about the field of Physics education and general problems of physics. The committee gives the applicant three questions related to the field of the study programme. The committee judges the correctness of the answers, the knowledge of the field and overall readiness for doctoral studies. Each answer is evaluated on the scale of 0-30 points, the applicant can therefore obtain at most 90 points for all three answers. In order to pass the exam, the applicant must obtain at least 60 points. If there is more than one successful applicant, the committee will rank the applicants according to the total number of points they obtained. Admission for studies to the doctoral study programme Physics Education and General Problems of Physics taught in English will be granted to the candidate who successfully passes both parts of the entrance examination and obtains the highest score from the subject part of the examination among all applicants.

    Language part of the entrance examination
    The language part of the entrance examination consists of verification of knowledge of the English language in the form of a written test conducted in person. The applicant may obtain a maximum of 100 points, the threshold for passing the exam is 50 points. If the applicant cannot take part in the face-to-face test for objective reasons, it is possible to take the test online at the Department of Language Education of the Faculty of Mathematics and Physics under the same conditions. In this case, the student must contact the Study Department two weeks before the exam at the latest and ask for a permission to take the exam online.

    Waiver conditions of the subject entrance examination
    The subject entrance examination cannot be waived for applicants to the study programme Physics Education and General Problems of Physics.

    The subject entrance examination may be waived for applicants for any study programme (with the exception of the programme Physics Education and General Problems of Physics) 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, corresponding to the field of the doctoral programme they are applying to;
    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, 2024

    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 – 7 points
    • C2 Proficiency (formerly known as CPE) - Pass
    • C1 Advanced (formerly known as CAE) - Pass
    • B2 First (formerly known as FCE) – Grade A
    • ESOL International (C1 – C2)
    • 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.
    Application form requisites: APPLICATION SUBMISSION
    Applications are to be submitted electronically via the Student Information System of Charles University at https://is.cuni.cz/studium/eng/prijimacky/. The application fee will be determined by a dean’s measure. You need to fill in the application form, confirm it, and submit it in the system. Electronically submitted applications do not need to be sent in paper form.
    After the completion and submission of an electronic application, the information system generates a 6-digit ID number for each applicant; this ID should be given in any subsequent correspondence about the application with the Department of Student Affairs.
    In the application the applicant chooses a study programme, and states a desired doctoral thesis topic (from those offered by the programme). We recommend discussing these at the department concerned before submitting the application.

    ATTACHMENTS TO THE APPLICATION
    A. Obligatory
    1. A document proving the completion of a master's study programme;
    A document certifying the completion of a university education at Master's level needs to be delivered as soon as possible after the application submission, and in any case no later than September 30, 2024. For students graduating between September 1, 2024 and September 30, 2024, the deadline is extended till October 22, 2024. This is not required from students and graduates of the Charles University, Faculty of Mathematics and Physics.
    Those applicants who completed their education at a university abroad, must deliver one of the following documents: a document about a general recognition of equality or validity of a foreign university graduation certificate in the Czech Republic (so called "nostrification"), or a foreign document about a foreign university education if it is automatically recognized in the Czech Republic, according to its international agreements, without further official processing (university diploma from Slovakia, Poland, Hungary, Slovenia), or a foreign document about completing university education which will be assessed by the faculty itself (no fee is being charged).
    2. Two letters of recommendation; letters of recommendation from professors and employers who can comment on your recent professional accomplishments and your qualifications for pursuing a master’s degree in Computer Science, Mathematics or Physics. You should arrange for letters of recommendation to be sent directly by your referees to the e-mail address phd@mff.cuni.cz till April 30, 2024.
    3. A brief CV.
    4. A letter of motivation.

    B. Optional
    • An application for a waiver of the subject or language part of the entrance examination and its attachments
    • A brief annotation of a proposed thesis topic in case that the applicant has not chosen a thesis topic offered by the programme

    APPLICATION FEE
    An application fee must be paid for each application. The application fee is 1500 CZK. The fee is to be paid by the application submission deadline to the bank account below with the 6-digit ID applicant number as “a specific symbol” or a message for the recipient. The fee can either be paid in EUR or in CZK. The application fee is non-refundable. The fee can be paid by postal order or by bank transfer. When paying by bank transfer, the applicants are obliged to pay any additional fees charged by the banks (esp. when paying from abroad).

    Bank details for the application fee:
    Bank: Komercni banka
    Account number: 21210277/0100
    IBAN: CZ49 0100 0000 0000 2121 0277
    SWIFT: KOMB CZ PP

    If the application is not completed and confirmed, or the application fee is not fully paid in due time, and the deficiencies are not corrected in the additional time permitted, the faculty will officially terminate the admission procedure.

    Payment instructions

    Constant symbol: 0179
    Constant symbol (for a bank transaction): 0308
    Bank: Komerční banka
    Account number: 21210277/0100
    IBAN: CZ49 0100 0000 0000 2121 0277
    SWIFT:KOMBCZPP
    Variable symbol: 1
    Specific symbol: ID přihlášky

    Statistics

    Total number of registered applicants: 2229
    Bachelor's: 1698
    Master's: 531

    Programmes/Branches for this year

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    Financial Mathematics Financial Mathematics full-time Bachelor's Czech 3 years Detail
    Physics Physics full-time Bachelor's Czech 3 years Detail
    Physics for Teacher Education Physics for Teacher Education with double curriculum study Computer Science for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    Physics for Teacher Education Physics for Teacher Education with double curriculum study Mathematics for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    Computer Science Computer Science full-time Bachelor's Czech 3 years Detail
    Mathematical Modelling Mathematical Modelling full-time Bachelor's Czech 3 years Detail
    Mathematics for Information Technologies Mathematics for Information Technologies full-time Bachelor's Czech 3 years Detail
    Mathematics for Teacher Education Mathematics for Teacher Education with double curriculum study English Language and Literature for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    Mathematics for Teacher Education Mathematics for Teacher Education with double curriculum study Czech Language and Literature for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    Mathematics for Teacher Education Mathematics for Teacher Education with double curriculum study Descriptive Geometry for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    Mathematics for Teacher Education Mathematics for Teacher Education with double curriculum study French Language and Literature for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    Mathematics for Teacher Education Mathematics for Teacher Education with double curriculum study Computer Science for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    Mathematics for Teacher Education Mathematics for Teacher Education with double curriculum study German Language and Literature for Teacher Education (double subject study) full-time Bachelor's Czech 3 years Detail
    General Mathematics General Mathematics full-time Bachelor's Czech 3 years Detail
    Astronomy and Astrophysics Astronomy and Astrophysics full-time Master's (post-Bachelor) Czech 2 years Detail
    Atmospheric Physics, Meteorology and Climatology Atmospheric Physics, Meteorology and Climatology full-time Master's (post-Bachelor) English 2 years Detail
    Biophysics and Chemical Physics Biophysics and Chemical Physics full-time Master's (post-Bachelor) Czech 2 years Detail
    Biophysics and Chemical Physics Biophysics and Chemical Physics full-time Master's (post-Bachelor) English 2 years Detail
    Computational Mathematics Computational Mathematics full-time Master's (post-Bachelor) English 2 years Detail
    Computer Science - Artificial Intelligence Computer Science - Artificial Intelligence full-time Master's (post-Bachelor) English 2 years Detail
    Computer Science - Discrete Models and Algorithms Computer Science - Discrete Models and Algorithms full-time Master's (post-Bachelor) English 2 years Detail
    Computer Science - Language Technologies and Computational Linguistics Computer Science - Language Technologies and Computational Linguistics full-time Master's (post-Bachelor) English 2 years Detail
    Computer Science - Software and Data Engineering Computer Science - Software and Data Engineering full-time Master's (post-Bachelor) English 2 years Detail
    Computer Science - Software Systems Computer Science - Software Systems full-time Master's (post-Bachelor) English 2 years Detail
    Computer Science - Theoretical Computer Science Computer Science - Theoretical Computer Science full-time Master's (post-Bachelor) English 2 years Detail
    Computer Science - Visual Computing and Game Development Computer Science - Visual Computing and Game Development full-time Master's (post-Bachelor) English 2 years Detail
    Particle and Nuclear Physics Particle and Nuclear Physics full-time Master's (post-Bachelor) Czech 2 years Detail
    Financial and Insurance Mathematics Financial and Insurance Mathematics full-time Master's (post-Bachelor) English 2 years Detail
    Financial and Insurance Mathematics Financial and Insurance Mathematics full-time Master's (post-Bachelor) Czech 2 years Detail
    Atmospheric Physics, Meteorology and Climatology Atmospheric Physics, Meteorology and Climatology full-time Master's (post-Bachelor) Czech 2 years Detail
    Physics of Condensed Matter and Materials Physics of Condensed Matter and Materials full-time Master's (post-Bachelor) Czech 2 years Detail
    Surface and Plasma Physics Surface and Plasma Physics full-time Master's (post-Bachelor) Czech 2 years Detail
    Geophysics and Planetary Science Geophysics and Planetary Science full-time Master's (post-Bachelor) Czech 2 years Detail
    Computer Science - Discrete Models and Algorithms Computer Science - Discrete Models and Algorithms full-time Master's (post-Bachelor) Czech 2 years Detail
    Computer Science - Language Technologies and Computational Linguistics Computer Science - Language Technologies and Computational Linguistics full-time Master's (post-Bachelor) Czech 2 years Detail
    Computer Science - Software and Data Engineering Computer Science - Software and Data Engineering full-time Master's (post-Bachelor) Czech 2 years Detail
    Computer Science - Software Systems Computer Science - Software Systems full-time Master's (post-Bachelor) Czech 2 years Detail
    Computer Science - Theoretical Computer Science Computer Science - Theoretical Computer Science full-time Master's (post-Bachelor) Czech 2 years Detail
    Computer Science - Artificial Intelligence Computer Science - Artificial Intelligence full-time Master's (post-Bachelor) Czech 2 years Detail
    Computer Science - Visual Computing and Game Development Computer Science - Visual Computing and Game Development full-time Master's (post-Bachelor) Czech 2 years Detail
    Mathematical Analysis Mathematical Analysis full-time Master's (post-Bachelor) Czech 2 years Detail
    Mathematical and Computational Modelling in Physics Mathematical and Computational Modelling in Physics full-time Master's (post-Bachelor) Czech 2 years Detail
    Mathematical Modelling in Physics and Technology Mathematical Modelling in Physics and Technology full-time Master's (post-Bachelor) Czech 2 years Detail
    Mathematical Structures Mathematical Structures full-time Master's (post-Bachelor) Czech 2 years Detail
    Mathematics for Information Technologies Mathematics for Information Technologies full-time Master's (post-Bachelor) Czech 2 years Detail
    Mathematical Analysis Mathematical Analysis full-time Master's (post-Bachelor) English 2 years Detail
    Mathematical Modelling in Physics and Technology Mathematical Modelling in Physics and Technology full-time Master's (post-Bachelor) English 2 years Detail
    Mathematical Structures Mathematical Structures full-time Master's (post-Bachelor) English 2 years Detail
    Mathematics for Information Technologies Mathematics for Information Technologies full-time Master's (post-Bachelor) English 2 years Detail
    Computational Mathematics Computational Mathematics full-time Master's (post-Bachelor) Czech 2 years Detail
    Optics and Optoelectronics Optics and Optoelectronics full-time Master's (post-Bachelor) English 2 years Detail
    Optics and Optoelectronics Optics and Optoelectronics full-time Master's (post-Bachelor) Czech 2 years Detail
    Particle and Nuclear Physics Particle and Nuclear Physics full-time Master's (post-Bachelor) English 2 years Detail
    Physics of Condensed Matter and Materials Physics of Condensed Matter and Materials full-time Master's (post-Bachelor) English 2 years Detail
    Probability, Mathematical Statistics and Econometrics Probability, Mathematical Statistics and Econometrics full-time Master's (post-Bachelor) Czech 2 years Detail
    Probability, Mathematical Statistics and Econometrics Probability, Mathematical Statistics and Econometrics full-time Master's (post-Bachelor) English 2 years Detail
    Surface and Plasma Physics Surface and Plasma Physics full-time Master's (post-Bachelor) English 2 years Detail
    Theoretical Physics Theoretical Physics full-time Master's (post-Bachelor) Czech 2 years Detail
    Teacher Education of Physics for Upper Secondary Schools Teacher Education of Physics for Upper Secondary Schools with double curriculum study Teacher Education of Mathematics for Upper Secondary Schools (double subject study) full-time Master's (post-Bachelor) Czech 2 years Detail
    Teacher Education of Mathematics for Upper Secondary Schools Teacher Education of Mathematics for Upper Secondary Schools with double curriculum study Teacher Education of English Language and Literature for Upper Secondary Schools (double subject study) full-time Master's (post-Bachelor) Czech 2 years Detail
    Teacher Education of Mathematics for Upper Secondary Schools Teacher Education of Mathematics for Upper Secondary Schools with double curriculum study Teacher Education of Czech Language and Literature for Upper Secondary Schools (double subject study) full-time Master's (post-Bachelor) Czech 2 years Detail
    Teacher Education of Mathematics for Upper Secondary Schools Teacher Education of Mathematics for Upper Secondary Schools with double curriculum study Teacher Education of Descriptive Geometry for Upper Secondary Schools (double subject study) full-time Master's (post-Bachelor) Czech 2 years Detail
    Teacher Education of Mathematics for Upper Secondary Schools Teacher Education of Mathematics for Upper Secondary Schools with double curriculum study Teacher Education of French Language and Literature for Upper Secondary Schools (double subject study) full-time Master's (post-Bachelor) Czech 2 years Detail
    Teacher Education of Mathematics for Upper Secondary Schools Teacher Education of Mathematics for Upper Secondary Schools with double curriculum study Teacher Education of Computer Science for Upper Secondary Schools (double subject study) full-time Master's (post-Bachelor) Czech 2 years Detail
    Algebra, number theory, and mathematical logic Algebra, number theory, and mathematical logic full-time doctoral English 4 years Detail
    Algebra, number theory, and mathematical logic Algebra, number theory, and mathematical logic combined doctoral English 4 years Detail
    Algebra, number theory, and mathematical logic Algebra, number theory, and mathematical logic full-time doctoral Czech 4 years Detail
    Algebra, number theory, and mathematical logic Algebra, number theory, and mathematical logic combined doctoral Czech 4 years Detail
    Atmospheric physics, meteorology and climatology Atmospheric physics, meteorology and climatology full-time doctoral English 4 years Detail
    Atmospheric physics, meteorology and climatology Atmospheric physics, meteorology and climatology combined doctoral English 4 years Detail
    Biophysics, Chemical and Macromolecular Physics Biophysics, Chemical and Macromolecular Physics full-time doctoral Czech 4 years Detail
    Biophysics, Chemical and Macromolecular Physics Biophysics, Chemical and Macromolecular Physics combined doctoral Czech 4 years Detail
    Bioinformatics and computational biology Bioinformatics and computational biology full-time doctoral English 4 years Detail
    Bioinformatics and computational biology Bioinformatics and computational biology combined doctoral English 4 years Detail
    Bioinformatics and computational biology Bioinformatics and computational biology full-time doctoral Czech 4 years Detail
    Bioinformatics and computational biology Bioinformatics and computational biology combined doctoral Czech 4 years Detail
    Biophysics, Chemical and Macromolecular Physics Biophysics, Chemical and Macromolecular Physics full-time doctoral English 4 years Detail
    Biophysics, Chemical and Macromolecular Physics Biophysics, Chemical and Macromolecular Physics combined doctoral English 4 years Detail
    Computational linguistics Computational linguistics full-time doctoral English 4 years Detail
    Computational linguistics Computational linguistics combined doctoral English 4 years Detail
    Computational mathematics Computational mathematics full-time doctoral English 4 years Detail
    Computational mathematics Computational mathematics combined doctoral English 4 years Detail
    Computer Science - Software Systems Computer Science - Software Systems full-time doctoral English 4 years Detail
    Computer Science - Software Systems Computer Science - Software Systems combined doctoral English 4 years Detail
    Computer Science - Theory of Computing, Discrete Models and Optimization Computer Science - Theory of Computing, Discrete Models and Optimization full-time doctoral English 4 years Detail
    Computer Science - Theory of Computing, Discrete Models and Optimization Computer Science - Theory of Computing, Discrete Models and Optimization combined doctoral English 4 years Detail
    Computer Science - Visual computing and computer games Computer Science - Visual computing and computer games full-time doctoral English 4 years Detail
    Computer Science - Visual computing and computer games Computer Science - Visual computing and computer games combined doctoral English 4 years Detail
    Particle and Nuclear Physics Particle and Nuclear Physics full-time doctoral Czech 4 years Detail
    Particle and Nuclear Physics Particle and Nuclear Physics combined doctoral Czech 4 years Detail
    Physics Education and General Problems of Physics Physics Education and General Problems of Physics full-time doctoral Czech 4 years Detail
    Atmospheric physics, meteorology and climatology Atmospheric physics, meteorology and climatology full-time doctoral Czech 4 years Detail
    Atmospheric physics, meteorology and climatology Atmospheric physics, meteorology and climatology combined doctoral Czech 4 years Detail
    Physics of Condensed Matter and Materials Research Physics of Condensed Matter and Materials Research full-time doctoral Czech 4 years Detail
    Physics of Condensed Matter and Materials Research Physics of Condensed Matter and Materials Research combined doctoral Czech 4 years Detail
    Physics of nanostructures and nanomaterials Physics of nanostructures and nanomaterials full-time doctoral Czech 4 years Detail
    Physics of nanostructures and nanomaterials Physics of nanostructures and nanomaterials combined doctoral Czech 4 years Detail
    Physics of Plasmas and Ionized Media Physics of Plasmas and Ionized Media full-time doctoral Czech 4 years Detail
    Physics of Plasmas and Ionized Media Physics of Plasmas and Ionized Media combined doctoral Czech 4 years Detail
    Physics of Surfaces and Interfaces Physics of Surfaces and Interfaces full-time doctoral Czech 4 years Detail
    Physics of Surfaces and Interfaces Physics of Surfaces and Interfaces combined doctoral Czech 4 years Detail
    Physics of the Earth and Planets Physics of the Earth and Planets full-time doctoral Czech 4 years Detail
    Physics of the Earth and Planets Physics of the Earth and Planets combined doctoral Czech 4 years Detail
    General Questions of Mathematics and Computer Science General Questions of Mathematics and Computer Science full-time doctoral English 4 years Detail
    General Questions of Mathematics and Computer Science General Questions of Mathematics and Computer Science combined doctoral English 4 years Detail
    Geometry, topology, and global analysis Geometry, topology, and global analysis full-time doctoral Czech 4 years Detail
    Geometry, topology, and global analysis Geometry, topology, and global analysis combined doctoral Czech 4 years Detail
    Geometry, topology, and global analysis Geometry, topology, and global analysis full-time doctoral English 4 years Detail
    Geometry, topology, and global analysis Geometry, topology, and global analysis combined doctoral English 4 years Detail
    Computer Science - Software Systems Computer Science - Software Systems full-time doctoral Czech 4 years Detail
    Computer Science - Software Systems Computer Science - Software Systems combined doctoral Czech 4 years Detail
    Computer Science - Theory of Computing, Discrete Models and Optimization Computer Science - Theory of Computing, Discrete Models and Optimization full-time doctoral Czech 4 years Detail
    Computer Science - Theory of Computing, Discrete Models and Optimization Computer Science - Theory of Computing, Discrete Models and Optimization combined doctoral Czech 4 years Detail
    Computer Science - Visual computing and computer games Computer Science - Visual computing and computer games full-time doctoral Czech 4 years Detail
    Computer Science - Visual computing and computer games Computer Science - Visual computing and computer games combined doctoral Czech 4 years Detail
    Quantum Optics and Optoelectronics Quantum Optics and Optoelectronics full-time doctoral Czech 4 years Detail
    Quantum Optics and Optoelectronics Quantum Optics and Optoelectronics combined doctoral Czech 4 years Detail
    Mathematical analysis Mathematical analysis full-time doctoral Czech 4 years Detail
    Mathematical analysis Mathematical analysis combined doctoral Czech 4 years Detail
    Computational linguistics Computational linguistics full-time doctoral Czech 4 years Detail
    Computational linguistics Computational linguistics combined doctoral Czech 4 years Detail
    Mathematical and computer modeling Mathematical and computer modeling full-time doctoral Czech 4 years Detail
    Mathematical and computer modeling Mathematical and computer modeling combined doctoral Czech 4 years Detail
    Mathematical analysis Mathematical analysis full-time doctoral English 4 years Detail
    Mathematical analysis Mathematical analysis combined doctoral English 4 years Detail
    Mathematical and computer modeling Mathematical and computer modeling full-time doctoral English 4 years Detail
    Mathematical and computer modeling Mathematical and computer modeling combined doctoral English 4 years Detail
    Computational mathematics Computational mathematics full-time doctoral Czech 4 years Detail
    Computational mathematics Computational mathematics combined doctoral Czech 4 years Detail
    General Questions of Mathematics and Computer Science General Questions of Mathematics and Computer Science full-time doctoral Czech 4 years Detail
    General Questions of Mathematics and Computer Science General Questions of Mathematics and Computer Science combined doctoral Czech 4 years Detail
    Particle and Nuclear Physics Particle and Nuclear Physics full-time doctoral English 4 years Detail
    Particle and Nuclear Physics Particle and Nuclear Physics combined doctoral English 4 years Detail
    Physics Education and General Problems of Physics Physics Education and General Problems of Physics full-time doctoral English 4 years Detail
    Physics of Condensed Matter and Materials Research Physics of Condensed Matter and Materials Research full-time doctoral English 4 years Detail
    Physics of Condensed Matter and Materials Research Physics of Condensed Matter and Materials Research combined doctoral English 4 years Detail
    Physics of nanostructures and nanomaterials Physics of nanostructures and nanomaterials full-time doctoral English 4 years Detail
    Physics of nanostructures and nanomaterials Physics of nanostructures and nanomaterials combined doctoral English 4 years Detail
    Physics of Plasmas and Ionized Media Physics of Plasmas and Ionized Media full-time doctoral English 4 years Detail
    Physics of Plasmas and Ionized Media Physics of Plasmas and Ionized Media combined doctoral English 4 years Detail
    Physics of Surfaces and Interfaces Physics of Surfaces and Interfaces full-time doctoral English 4 years Detail
    Physics of Surfaces and Interfaces Physics of Surfaces and Interfaces combined doctoral English 4 years Detail
    Physics of the Earth and Planets Physics of the Earth and Planets full-time doctoral English 4 years Detail
    Physics of the Earth and Planets Physics of the Earth and Planets combined doctoral English 4 years Detail
    Probability and statistics, econometrics and financial mathematics Probability and statistics, econometrics and financial mathematics full-time doctoral Czech 4 years Detail
    Probability and statistics, econometrics and financial mathematics Probability and statistics, econometrics and financial mathematics combined doctoral Czech 4 years Detail
    Probability and statistics, econometrics and financial mathematics Probability and statistics, econometrics and financial mathematics full-time doctoral English 4 years Detail
    Probability and statistics, econometrics and financial mathematics Probability and statistics, econometrics and financial mathematics combined doctoral English 4 years Detail
    Quantum Optics and Optoelectronics Quantum Optics and Optoelectronics full-time doctoral English 4 years Detail
    Quantum Optics and Optoelectronics Quantum Optics and Optoelectronics combined doctoral English 4 years Detail
    Theoretical Physics, Astronomy and Astrophysics Theoretical Physics, Astronomy and Astrophysics full-time doctoral Czech 4 years Detail
    Theoretical Physics, Astronomy and Astrophysics Theoretical Physics, Astronomy and Astrophysics combined doctoral Czech 4 years Detail
    Theoretical Computer Science and Artificial Intelligence Theoretical Computer Science and Artificial Intelligence full-time doctoral Czech 4 years Detail
    Theoretical Computer Science and Artificial Intelligence Theoretical Computer Science and Artificial Intelligence combined doctoral Czech 4 years Detail
    Theoretical Computer Science and Artificial Intelligence Theoretical Computer Science and Artificial Intelligence full-time doctoral English 4 years Detail
    Theoretical Computer Science and Artificial Intelligence Theoretical Computer Science and Artificial Intelligence combined doctoral English 4 years Detail
    Theoretical Physics, Astronomy and Astrophysics Theoretical Physics, Astronomy and Astrophysics full-time doctoral English 4 years Detail
    Theoretical Physics, Astronomy and Astrophysics Theoretical Physics, Astronomy and Astrophysics combined doctoral English 4 years Detail