Charles University

Overview

The Master's programme in Mathematical Modelling in Physics and Technology at Charles University equips students with the skills to construct and analyze mathematical models pertinent to physical and engineering systems. This course emphasizes the application of numerical methods for simulation and explores critical areas such as continuum mechanics, partial differential equations, and computational techniques essential for both research and industry applications.

What you'll study

Core study areas integrate mathematical principles with physics-based modeling and computational approaches.

• Partial Differential Equations — Understanding the theory and methodologies for modeling and analyzing systems governed by PDEs.
• Continuum Mechanics — Exploring the mathematical framework for describing deformable bodies and continuous media.
• Thermodynamics and Mechanics of Non-Newtonian Fluids — Investigating complex fluid behaviors through continuum and thermodynamic principles.
• Solutions of Continuum Physics Problems — Practical applications of problem-solving and modeling in continuum scenarios.
• Thermodynamics and Mechanics of Solids — Analyzing solid mechanics in conjunction with thermodynamic modeling.
• Finite Element Method — Employing numerical discretization techniques for PDE-based models.
• Matrix Iterative Methods — Utilizing advanced numerical linear algebra techniques for large-scale simulations.
• Thermodynamics and Statistical Physics — Establishing connections between macroscopic thermodynamics and statistical descriptions.

Capstone / thesis: The programme typically culminates in a Master’s thesis or a final research project focused on modeling, analysis, and/or numerical simulation, with specific requirements outlined in the programme regulations.

Entry requirements

Applicants are expected to possess a relevant Bachelor’s degree or be nearing completion of one, demonstrating a solid foundation in mathematics and/or physics. This programme is tailored for individuals capable of engaging with advanced mathematical content and applying it to physical modeling challenges.

Note: There are no GRE/GMAT requirements for this programme.

Career prospects

Graduates of the Mathematical Modelling in Physics and Technology programme can pursue diverse career paths in academia, research institutions, and various industries, including engineering, technology, and applied sciences. The skills acquired in mathematical modeling and computational techniques are highly sought after, equipping students for roles that demand analytical and problem-solving expertise.