Name

Department of Higher Mathematics

Foundation

1930

Staff

Currently, the department employs 34 people, including:
1 member correspondent of the Russian Academy of Sciences;
8 professors;
16 associate professors;
7 senior teachers;
2 assistants,
including 16 candidates and 9 doctors of science.

Faculties

 Faculty of Motor Transport
 Faculty of Road and Technological machines
 Energy and Environmental Faculty
 Faculty of Road building

Subjects

Undergraduate:
 Mathematical analysis;
 Linear Algebra and Analytical Geometry
 Equations of mathematical physics
 Theory of functions of a complex variable
 Graph Theory and Mathematical Logic
 Optimization methods
 Operations research
 Differential equations
 Probability Theory, Mathematical Statistics, and Theory of Random Processes
 Mathematical modeling
 Numerical methods
 Management theory
 Software and hardware informatics
 Computer programming
 Computer graphics
 Computer operating systems and networks
 Databases
 Discrete Math
 Application Programming and Software Packages
 Sustainability theory
 Approximation Methods
 Partial Differential Equations
 Functional analysis
 Special Heads of Applied Mathematics
 Theory of ordinary differential equations
 Differential equations and their application
 Theory of Extreme Problems
 Computing and Networks in the Industry
 Intelligent systems
 Interactive graphic systems
 Computational methods and mathematical packages
 Mathematical Data Processing Methods
 Intelligent car systems
 Intelligent systems in the modeling of traffic flows
 Fundamentals of Engineering and Scientific Experiment
 Computer Technology Learning
 Computer Learning Basics
Master:
 Functional analysis
 Asymptotic Analysis
 Principles of building mathematical models
 Intelligent systems
 Logic and architecture of computing environments
 Parallel and Distributed Programming
 Statistical analysis
 Theory of Fuzzy Sets and Fuzzy Logic
 Schedule theory and generalized transport problem
 Information and Complexity
 Distributed computing
 Cryptographic methods of information security
 Modeling complex sociotechnical systems
 Dynamic systems
 Random walks on networks
 Queuing theory
 Graph Theory and Their Applications
 Processing visual information and pattern recognition
 Traffic flow theory
 Mathematical methods in biology and psychology
 Discrete Mathematics Problems
 Numerical problems of mathematical physics

Science Achievements

Since the mid90s of the last century, a research direction on the mathematical modeling of traffic flows and the design of intelligent systems in the automotive industry, formed by Professor A.P. Buslaev, has been developing at MADI. These studies are directly correlated with the following Basic Research Programs of the Russian Academy of Sciences, namely, “Fundamentals of creating algorithms and software for highperformance computing” and “Fundamental mathematics and its applications”. Professor A.P. Buslaev developed a deterministicstochastic approach for modeling traffic flows. The data on the basis of which the specific implementation of the model is refined is collected using detectors on highways, as well as using mobile laboratories equipped with video capture tools, mobile sensors, and smartphones. Mobile laboratory created by A.P. Buslaev on the basis of the Department of Higher Mathematics MADI, allowed to obtain, process and analyze video data, using the developed hardware software and computer vision methods, to calculate the characteristics and make further amendments to the mathematical models under consideration.
One of the applications of the developed algorithms was the detection of road surface defects to further increase the roadway capacity.
The use of mathematical models of traffic contributes to solving the problems of optimal control organization on road networks. The adequacy of mathematical models is based on checking of data obtained from measurements on highways. This determines the relevance of developing data processing algorithms obtained as a result of such measurements, in particular, video analysis algorithms for the characteristics of the traffic flow, algorithms for image recognition in an uncontrolled dynamic environment, and data transfer processes optimization during the operation of vehicles.
The employees of the department of Higher Mathematics, graduate students and undergraduates carry out research work commissioned by the Ministry of Education and the Russian Foundation for Basic Research:
 «Models, mathematical problems and saturated flow theorems on complex chainmail networks»
 «Client  SSSR server system for monitoring, modeling and managing distributed sociotechnical objects»
 «Investigation of the properties of cluster and stochastic simulation models of flows on regular networks»
 «Computer methods for traffic modeling on networks and infocommunication technologies for verification and testing»
 «On qualitative theorems in the problem of modeling the motion of manyparticle systems along discrete lattices»
 «Algorithms and technology for online recognition of moving objects and flow characteristics on mobile devices»
 «Study of the qualitative properties of information flows on linearring networks»

Students Activity

 Systems of Signals Generating and Processing in the Field of on Board Communications, Moscow, Russia;
 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO), Yaroslavl, Russia;
 International Conference Computational and Mathematical Methods in Science and Engineering, Rota, Cadis, Spain;
 International scientificmethodical and research conference MADI;
 International Conference "Information Technologies and Innovations in Transport", Oryol, Russia;
 Multiconference on management issues, Divnomorskoye, Gelendzhik, Russia;
 International Conference on Machine Vision (ICMV), Amsterdam, The Netherlands;
 International Conference on Digital Solutions for Automotive Industry, Roadway Maintenance and Traffic Control (DS ART)

Why MADI

The department’s teachers are wellknown scientists in the field of mathematical modeling, robotics, elastic body physics, as well as leading industry experts, with the help of which students receive relevant knowledge and skills that are in demand in the modern labor market in the context of digitalization of the economy.
Throughout the entire period of study, in addition to obtaining theoretical knowledge in the walls of MADI, students have the opportunity to attend Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, as well as gaining practical skills in such companies as:
 LLC «Center for Design Technologies of State Public Institution Center for Organization of Traffic of the Government of Moscow»
 LLC « Rostelecom Data Storage Center»
 State Company «Russian Highways»
 LLC «Tanais»
 JSC «NEUROKOM»
 LLC MIP "MADIDT"
 PJSC «SDMBank»
 LLC "ErPi Band
and others in the process of the implemented practices.
Students interested in a scientific career are given the opportunity to participate with reports in Russian and international conferences, grants and publish their results in leading scientific journals indexed by the Web of Science, Scopus, RSCI databases.
Implemented study methods allow graduates to remain soughtafter specialists, despite the constantly changing trends in the development of society.

Where you can work

Graduates of the Department of Higher Mathematics are in demand in the market in various fields of economics and economy:
 administration and development of databases
 computer modeling
 computer industry
 banking
 telecommunications
 education
 big data analysis.
The main employers for graduates are international and Russian companies:
 «Rostelecom»
 «Rosatom»
 LLC «NetCracker»
 «Vimpelcom»
 BSS «Russian Space Systems»
and others.
The most promising professions are:
 business analyst
 mathematiciananalyst
 database programmer
 system programmer
 SMM
 scientific worker.

Contacts

Head of the Department: Ph.D., Doctor of Technical Sciences, prof. Yashina Marina Viktorovna
Phone: +7 (499) 1550436
Email: mathematics@madi.ru
