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Computer Science - Discrete Models and Algorithms, M.Sc.

  • Application Deadline
  • 24 months
University rank #201 (ARWU) ,
In the Computer Science - Discrete Models and Algorithms program at Charles University, students are given a broad overview of their field, helping them to think independently, to distinguish between important and marginal problems, and to accommodate quickly to novel technologies.


The Computer Science - Discrete Models and Algorithms program at Charles University provides education in the area of discrete (meaning non-continuous) mathematical structures used in Computer Science. It deals also with combinatorial (and other) algorithms and with modeling phenomena and processes by means of such structures and algorithms. In the specialization Optimization it puts emphasis on solid grasp of various kinds of optimization. The study branch enables to its graduates to be in contact with current scientific results and ideally it prepares them for independent research activity.

The graduate knows in depth discrete mathematics and discrete structures used in computer science and can model, using algorithms, various phenomena and processes. According to chosen specialization the graduate has advanced knowledge in one or more of the areas: combinatorics and graph theory, random techniques and methods in discrete mathematics and algorithms, algebraic and topological methods, and finally optimization of various kinds. 

The graduate can use this knowledge in research when solving difficult theoretical and practical questions in the area of applied mathematics and computer science, in technical and economical practice, and in interdisciplinary research. The graduate can work in research and development in either academia or industry in any position requiring logical reasoning, analytical capabilities, an algorithmic approach, and the exploitation of modern methods of computer science.

Programme Structure

Courses include:

  • Introduction to Complexity and Computability 
  • Data Structures  
  • Mathematical Structures 
  • Logic Programming 
  • Combinatorial and Computational Geometry 
  • Graph Algorithms 
  • Combinatorial Counting 
  • Approximation and Online Algorithms 
  • Randomized Algorithms 
  • Linear Algebra Applications in Combinatorics 
  • Combinatorial Structures 
  • Geometric Representations of Graphs 
  • Analytic and Combinatorial Number Theory 

Detailed Programme Facts

  • More details: Applicants from outside the European Union and the Schengen Area are advised to apply in the winter round to have enough time for obtaining a student visa.
  • Programme intensity Full-time
    • Full-time duration 24 months
  • Credits
    120 alternative credits
  • Languages
    • English
  • Delivery mode
    On Campus

English Language Requirements

You only need to take one of these language tests:

  • Minimum required score:


    The TOEFL iBT ® measures your English-language abilities in an academic setting. The test has four sections (reading, listening, speaking, and writing), each with a score range of 0-30, for a total score range of 0-120. Read more about TOEFL iBT ®.

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  • Minimum required score:


    The TOEFL®PBT is administered in a paper format and measures your ability to use and understand English in a classroom setting at the college or university level. It accurately measures how well you can listen, read and write in English while performing academic tasks. Read more about TOEFL®PBT.

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  • Minimum required score:


    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

    Schedule IELTS

Academic Requirements

To apply for our Mathematics or Computer Science Master’s programmes given in English you must:

  • hold or be working towards a Bachelor’s or Master’s diploma (see below for details),
  • 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).
  • have sufficient academic background in the relevant fields; this can 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.

Tuition Fee

  • International

    5500 EUR/year
    Tuition Fee
    Based on the original amount of 5500 EUR per year and a duration of 24 months.
  • EU/EEA

    5500 EUR/year
    Tuition Fee
    Based on the original amount of 5500 EUR per year and a duration of 24 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.
  • 140 000 CZK + application fee  640 CZK (around $29) per application
  • Students from the EU are eligible for a 40 percent discount. 

Living costs for Prague

  • 15441 - 26250 CZK/month
    Living Costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.


The Faculty of Mathematics and Physics, Charles University, grants a limited number of scholarships to highly qualified applicants, consisting of a tuition fee waiver of 84 000 CZK up to 420 000 CZK, depending on the applicant’s chosen programme, academic performance and country of origin.

StudyPortals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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