Infopaket

MATHEMATICAL MODELING OF SYSTEMS AND PROCESSES

ОК 04

Обов’язкова дисципліна для ОП

Second

2023/2024

1 Semester

5

The student must know the essence of the fundamental principles underlying the creation of mathematical models of systems and processes of the corresponding class, ready-made work in the field of mathematical modeling of systems and processes used in systems for processing, storing, protecting and transmitting information through telecommunication channels of various nature, methods of using ready-made standard models in the development, manufacture, implementation and operation of hardware and software storage, transmission, processing and protection of information. The student must be able to classify the processes of creating information flows in telecommunication channels, explain the choice of the type of mathematical model, use conclusions, studies and canonical mathematical methods of systems theory and standard types of mathematical models, use conclusions, studies and canonical mathematical methods of systems theory and standard types of mathematical models.

Full-time form

The educational discipline "Mathematical modeling of systems and processes" is a mandatory component of the educational program and uses the results of studying the mandatory discipline "Theory of information transmission" of this OP, as well as "Higher metamathematics", "Special sections of higher mathematics", "General physics" , "Fundamentals of circuit theory", "Digital signal processing", "Fundamentals of information transmission theory", "Signals and processes in radio engineering", which are taught at the BA "Bachelor" OR. The educational discipline "Mathematical modeling of systems and processes" is the basis for the mandatory components "Nanoelectronics", "Nanostructural components of radio-electronic devices" and "Optimization of the design of radio-electronic devices".

The main principles of systems theory and the principles of building their models of different classes are considered in the educational discipline. Methods of mathematical description of the properties and structure of systems and processes, construction of isomorphic mathematical models of various classes, methods of researching the adequacy and validity of mathematical models, principles of analysis of stability and convergence of mathematical models are taught. Assessments of the reliability of the results of sodeling and the fundamental principles of its improvement are considered.

1. М. Месарович, Я. Такахара, Общая теория систем: Математические основы // М:-"Мир",1978, 311 с. 2. Г. П. Чуйко, О. В. Дворник, О. М. Яремчук. МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ СИСТЕМ І ПРОЦЕСІВ. Миколаїв – 2015. ISBN 978-966-336-340-0. 3. Шварц М. Сети связи: протоколы, моделирование и анализ: В 2-х томах. Пер.с англ..- М.: Наука, 1992. 4. Математичні основи теорії телекомунікаційних систем: Підручник для студентів вищих навч. закладів/ За редакцією Поповського В. В.– Харків: «Компания СМІТ», 2006. – 564 с.

Lectures, practical classes, independent individual work.

Semester evaluation: during the semester, one written modular test (PKR) based on lecture materials is provided. Another form of control is an oral presentation at a seminar or an essay based on self-study materials. The critical and calculated minimum is 36 points per semester. Final evaluation (in the form of an exam): the form of the exam is written and oral. The exam ticket consists of 4 questions, each question is evaluated from 0 to 10 points. In total, you can get from 0 to 40 points for the exam. A condition for achieving a positive grade for a discipline is to obtain at least 60 points, while the exam grade cannot be less than 24 points.

Ukrainian