1 |
Course title |
Mathematical modeling of dynamic processes |

2 |
Year of study, study programme |
3 |

3 |
Semester of study |
6 |

4 |
Number of credits |
3 |

5 |
Lecturer |
Kozlov Ilya Igorevich, Senior Lecturer |

6 |
Course Objective |
Systematization and consolidation of students’ methods and techniques of using knowledge obtained in general mathematical courses, on real production tasks and tasks of research and development. As a result of the training, the student must
– sources of mathematical models, types of models, approaches to their construction and analysis, typical results of analysis of known mathematical models;
– decompose complex processes for modeling, to identify deterministic and stochastic parts, to construct mathematical models in continuous and discrete, one-dimensional and multidimensional cases, with the presence of delay and without it, to find equilibrium positions and analyze the behavior around them; – have knowledge of methods of linear approximation, mitigation, estimation, analogies and hierarchies in mathematical modeling. |

7 |
Prerequisites |
Course materials of 1–6 semesters: |

8 |
Course content |
Introduction to mathematical modeling ( Sources of mathematical models ( Mathematical models of oscillatory occurrences ( Modeling methods leading to DEPD ( Direct and co-ordinated tasks ( Mathematical models with delay ( Discrete mathematical models ( Modeling of complex processes ( |

9 |
Recommended Literature |
1. Самарский А.А., Михайлов А.П. 2. Петросян Л.А., Захаров В.В. 3. Амелькин В.В., Садовский А.П. 4. Murray J.D. |

10 |
Teaching Methods |
Lectures with laboratory works, using elements of distance learning and electronic materials. 52 classroom hours, 18 hours of which are lectures and 34 are laboratory works. |

11 |
Teaching language |
Russian |

12 |
Requirements, current control |
Presentation and discussion of laboratory results, tests. Examination estimate consists of: current estimate – 40%, verbal examination – 60%. |

13 |
Method of certification |
Examination |