Subject of professional study
Subject of general study
Discipline of Applied Mathematics specialization
Discipline of Informatics specialization
Discipline of the optional block - Actuarial and Financial Mathematics
Discipline of the optional block - Modeling of Financial InstrumentsEnglish-language scientific communication.
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Dynamical Systems and Bifurcation Theory
The course covers the study of general principles of dynamical system behavior, identification of bifurcations within these systems, and the study of applied mathematical methods for analyzing dynamical systems described by nonlinear deterministic functions. It aims to develop skills in the comprehensive investigation of both deterministic and chaotic processes.
Mathematical models in nanotechnology.
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Models of Queuing Systems
Flows of random events: ordinary, nonstationary Poisson, with limited aftereffect (Palm], Erlang flows. Markov processes with discrete and continuous time, the system of differential equations for finding probabilities of the states, the system of algebraic equations for finding the limiting probabilities of the states, processes of death and reproduction. Queueing systems: with failures, with queue, with limited waiting time, closed.
Server-side Web Programming
The course covers the entire process of developing server-side web applications using ASP.NET MVC, Web API, and SignalR technologies.
Numerical Methods in Mathematical Physics
Block 1. Modeling complex systems. The course covers the fundamental principles of constructing and analyzing the most important numerical methods for solving partial differential equations, which serve as the theoretical foundation for mathematical modeling in fields such as physics, continuum mechanics, environmental protection, and more.
Final Сoursework
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Дисципліна за вибором
Дізнатися анотацію курсу буде можливо після вибору дисципліни
Elective Course
The course annotation will be available after the course selection.
Computer Simulation of Nanosystems
Block 1. Data engineering and analytics in artificial intelligence. The fundamentals of computer simulation methods such as molecular dynamics, Brownian dynamics, dissipative particle dynamics, and Monte Carlo methods. These methods are discussed and applied to the modeling of soft matter systems that are characterized by nanoscale dimensions or exhibit properties arising from the nanoscale elements of the structure of the studied system.
Spatial Modeling of Environmental Processes
Block 1. Modeling complex systems. Study of the general principles of spatial modeling of ecological processes at local, regional, national, and global levels; general principles of building Geographic Information Systems (GIS) for spatial modeling of ecological processes; foundations for building and using cloud technology Google Earth Engine, GIS systems such as MapInfo Professional, ArcGIS, Saga, Quantum GIS for spatial modeling; principles of conducting computational experiments for spatial modeling of ecological processes; methods for analyzing uncertainty in the results of mathematical modeling of ecological processes; methods for visualizing and interpreting results of spatial modeling; approaches to verification of spatial modeling results.
Mathematical Models in Mechanics of Deformable Solids
Block 3. Computational Mechanics
Inverse problems of thermomechanics and methods of their analysis
Block 3. Computational Mechanics
Internship on the topic of the Master's qualification thesis.
Execution of the Master's qualification thesis.
Defense of the Master's qualification thesis.
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