## 4 Results in Mathematics, Czech Republic

**Degrees**

**Location**

**Study type**

**Pace**

Mathematical modeling is an interdisciplinary field connecting mathematical analysis, numerical mathematics, and physics. The curriculum is designed to provide excellent ... [+]

Mathematical modeling is an interdisciplinary field connecting mathematical analysis, numerical mathematics, and physics. The curriculum is designed to provide excellent basic knowledge in all these disciplines and to allow a flexible widening of knowledge by studying specialized literature when the need arises. All students take compulsory courses in continuum mechanics, partial differential equations, and numerical mathematics.

Students acquire the ability to design mathematical models of natural phenomena (especially related to continuum mechanics and thermodynamics), analyze them, and conduct numerical simulations. After passing the compulsory classes, students get more closely involved with the physical aspects of mathematical modeling (model design), with mathematical analysis of partial differential equations, or with methods for computing mathematical models. The grasp of all levels of mathematical modeling (model, analysis, simulations) allows students to use modern results from all relevant fields to address problems in physics, technology, biology, and medicine, surpassing the scope of each individual field.... [-]

The program is targeted at students who wish to obtain theoretical and practical knowledge about the mathematics of random events. It is primarily characterized by a bala ... [+]

The program is targeted at students who wish to obtain theoretical and practical knowledge about the mathematics of random events. It is primarily characterized by a balance between rigorous mathematical theory, depth of insight into various fields of the subject (probability, statistics, econometrics) and applications in various areas. The students will obtain a general background by taking compulsory courses in probability, optimization, statistical modeling, and random processes.

They continue by taking elective courses to extend their expertise and choose a specialization they would like to study more deeply. In seminars, they learn to work independently as well as to collaborate on complex projects. Great emphasis is placed on the development of independent analytical thinking. Probability, statistics, and econometrics have a close relationship with other mathematical subjects (mathematical analysis, numerical mathematics, discrete mathematics). Applications are inspired by real problems from economics, medicine, technology, natural sciences, physics, and informatics.... [-]

This program focuses on the design, analysis, algorithmization, and implementation of methods for computer processing of mathematical models. It represents a transition f ... [+]

This program focuses on the design, analysis, algorithmization, and implementation of methods for computer processing of mathematical models. It represents a transition from theoretical mathematics to obtaining practically useful results. An emphasis is placed on the creative use of information technology and the production of programming applications.

An integral part of the program is the verification of methods employed. The students will study modern methods for solving partial differential equations, the finite element method, linear and non-linear functional analysis, and methods for matrix calculation. They will choose elective courses according to the topic of their master’s thesis. They may specialize in industrial mathematics, numerical analysis, or matrix calculations.... [-]

The program in Mathematical Analysis offers students advanced knowledge of traditional fields of mathematical analysis (real function theory, complex analysis, functional ... [+]

The program in Mathematical Analysis offers students advanced knowledge of traditional fields of mathematical analysis (real function theory, complex analysis, functional analysis, ordinary and partial differential equations). It is characterized by a depth of insight into individual topics and an emphasis on their mutual interconnections. Basic knowledge of these topics at an advanced level is provided by the set of compulsory courses. Elective courses deepen the knowledge of selected fields, especially those related to the topic of the diploma thesis. Seminars provide contact with contemporary mathematical research. Mathematical analysis has close relationships with other mathematical disciplines, such as probability theory, numerical analysis, and mathematical modeling. Students become familiar with these relationships in some of the elective courses.... [-]