Concepts, techniques and methods of mathematical modeling. Familiarization of students with the most important concepts of mathematical modeling and application of basic methods and techniques of mathematical modeling for the investigation of objects, processes and phenomena of various nature;formation of skills of applying theoretical knowledge in mathematical modeling for solving practical and applied problems.Development of modeling as a scientific research method, the role of a computational experiment.Model development: classical and systematic approach.Classification of models.Complex and large  systems.Mathematical model as a system.D-scheme, F-scheme, P-scheme, Q-scheme, N-scheme, A-scheme.