Languages

Home

Master program "Mathematical Models of Complex Systems"



Новая страница 8

Master program "Mathematical Models of Complex Systems: Theory, Algorithms, Applications"

Director of the Program: Distinguished Professor of Moscow State (Lomonosov) Univeristy, Full Member of Russian Academy of Sciences Alexander B. Kurzhanski

The educational programme aims to prepare the graduates for activities requiring in-depth fundamental and professional knowledge, including research in applied mathematics and computer technology, development and use of mathematical models for processes and objects, development and application of advanced mathematical methods and software to address problems in science, technology, economics and management. The Mathematical Models of Complex Systems: Theory, Algorithms and Applications Master’s programme is aimed at studying the foundations of computational methods and software for new types of current problems in modelling, decision-making, and control of complex systems. The course covers the analysis of models that combine the system structure (including network, hierarchical or hybrid types) with appropriate system dynamics and descriptions of digital communication channels for observation and control.

The Program is aimed towards teaching the foundations of control theory, algorithms and software for new types of actual problems of modeling, decision-making, and control of complex systems. The graduates will be able to implement in practice and further develop the control theory, to apply it to real-world problems (for example, models of system which combine network or hierarchical structure, continuous dynamics, and digital communication channels for observation and control signals). Such mathematical problems arise in the computer communication systems and wireless networks (including routing circuits), in large electrical networks in order to ensure high stability and fault-tolerance. Such models also include those of motion in automotive and railroad transportation systems, regulation of highway load under safety restrictions and unknown

  the 1st term the 2nd term the 3rd term the 4th term
Subject h/w   h/w   h/w   h/w  
Continious mathematical models 2 exam            
Discrete and probability models     2 exam        
Optimization and numerical methods         2 exam    
Object oriented programming languages and systems 2 exam            
Modern operating systems     2 exam        
Network technologies         2 exam    
Methodology and history of applied mathematics and informatics         2 test    
Foreign language 4 test 4 exam        
Modern philosophy and science methodology 2 test 2 exam        
Mathematical Theory of Feedback Control 4 test 4 exam        
Multi-objective Problems in Decision-Making 2 exam            
Identification of Dynamical Systems 3 exam            
Mathematical Models of Economical Dynamics             4 exam
Mathematical Models of Financial Dynamics     4 test 4 exam    
Systems Analysis for Environmental Problems         4 exam    
Hybrid Systems (Dynamics and Control)         2 exam    
Mathematical Theory of Communications             2 test
Stability Theory and Problems of Stabilization             2 test
Dynamical Systems and Models in Biology     2 test        
The Basics of Set-valued Analysis 2 test            
Selective course     2 exam 2 exam 2 exam
Special seminar 2 test 2 test 2 test 2 test
Term paper       grade        
Preliminary report on master thesis           test    
hours                
tests                
exams                
master thesis               grade
state exam               grade