Study programmes

Mathematical Modelling in Physics and Technology

Study program:
Mathematical Modelling in Physics and Technology
SP code:
N0541A170015
Study form:
full-time
Study type:
Master's (post-Bachelor)
Standard duration of study in years:
2
Language of instruction:
Czech
Title:
Mgr.
Title:
Yes - RNDr.
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SP name in English:
Mathematical Modelling in Physics and Technology
SP name in Latin:
Exemplaria mathematica usui disciplinae physicae atque arti technicae applicata
SP profile:
academically oriented

SP characteristics

Mathematical modeling is an interdisciplinary study programme that combines mathematical analysis, numerical mathematics and physics. The programme is designed in such a way that the students acquire specialised as well as general knowledge in all mentioned fields, and they are ready, if required by the problem they are studying, to deepen their knowledge by studying highly specialized scientific works. All students are required to attend lectures on continuum mechanics, mathematical analysis of partial differential equations and numerical mathematics with the objective to acquire the ability to design mathematical models of natural phenomena (especially in the field of mechanics and continuum thermodynamics), and analyze and implement numerical methods for computer simulations of the given phenomenon. After completing the compulsory courses the students focus more closely on either the physical aspects of mathematical modeling (design of mathematical models), the mathematical analysis of partial differential equations, or methods for numerical solution of these equations. Extensive experience with all aspects of mathematical modeling (model design, analysis, simulation) enables students to use the state-of-the-art knowledge from all aforementioned fields in solving complex problems in physics, technology, biology and medicine that are beyond the scope of particular specialised fields. Graduates of the study programme are ready to work in the academic as well as commercial institutions that rely on mathematical modelling and simulations in their study of natural phenomena.
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Graduate profile for the public:
Graduates of mathematical modeling have a general knowledge of mathematical models and methods in continuum mechanics and thermodynamics, mathematical analysis of partial differential equations and numerical mathematics, and they are ready to deepen their knowledge by studying highly specialized scientific works. The graduates are able to ask questions about the physical nature of natural phenomena - especially phenomena related to the behavior of liquids and solids within the framework of classical physics - with applications in technology, medicine and biology. For such natural phenomena, the graduates are able to design or select a suitable mathematical model, perform its mathematical analysis and subsequently perform computer simulations using appropriate numerical methods. The graduates understand the whole process of mathematical modeling, from the model design via mathematical analysis to computer simulations, and they can critically evaluate the benefits and limitations of the models in terms of their applicability in answering relevant practical questions. In simple cases, the graduates are able to evaluate the role of errors in the mathematical modelling process (model error, numerical error), and identify to what extent are numerical simulations accurate in predicting the behavior of real physical systems. The graduates are ready to work in interdisciplinary teams and can formulate interesting questions in a form accessible to rigorous mathematical research and vice versa, they can use abstract mathematical results to study practical problems.

Related accreditations

Faculty Name of the study program Language of instruction Study form
Matematicko-fyzikální fakulta Mathematical Modelling in Physics and Technology angličtina prezenční

Teaching provided by

Faculty:
Cooperating institutions:
No
More details
Foreign university joint diploma type:
No
External department:
No

Classification

Area of education:
  • Mathematics

SP structure

Specialisation:
No
Double-curriculum study:
No
Data for persons with disabilities
Contact person for persons with disability:
Mgr. Lukáš Krump, Ph.D.
Web page for persons with disability:
Further information about the study of persons with disability:

Personal provision

Garant SP:
  • doc. RNDr. Miroslav Bulíček, Ph.D.
Study plans

Instruction

Admission procedure requirements:
Study programme (branch) is open for applicants for the academic year 2026/2027:
Admission procedure requirements in the acaademic year 2025/2026:

Can be studied in combination

No combinations have been found