System Simulation

Course unit code

Course unit title

System simulation

Name(s), surname(s) and title of lecturer(s)

Professor Shidlovskiy Stanislav V.

Level of course

1

Semester

1

ECTS credit

4

Working hours

Contact hours

26

lectures

10

recitations and practicals

16

Self-study

118

Total

144

Work placement

-

Prerequisites

Therefore beginning the course a student must know at the level «good» and «excellent» the following courses:

• mathematical analysis;
• algebra and geometry;
• differential and difference equations;
• basics of system analysis;
• elements of classical theory of management;
• the theory of probability and mathematical statistics;
• discrete mathematics;
• programming.

To begin the course «System simulation» a student must have the following skills:

• know how to work with modern computer equipment and information technologies;
• know how to build up solution algorithms of a problem;
• know how to realize computational algorithms in different programming systems including use of high order languages;
• know how to evolve programs for computers.

Language of instruction

English

Objectives of the course

Learning outcomes

A student’s assessments methods

Teaching methods

During the course study are used not only traditional techniques, kinds and methods of education, but also innovative techniques, active and interactive kinds of lessons: lectures, laboratory practicum, tutorials, individual and research work, lectures with components of problem representation, tests, solving of the cases, discussions.

Course unit content

Course objective –

The tasks and objectives of the course are to develop knowledge and skills of applying the general methods in system modeling, types of mathematical models, mathematic simulation methods on the base of continuously determinate, discrete determinate, probabilistic, aggregative models, to develop understanding of goal setting and simulation method selection, validity check of mathematical model to real complex system, understanding of simulation results.

Gained knowledge and skills –

As a result of studying the course a student must know:

• information collection and processing methods, separate aspects which characterize the problem;
• basics of mathematic simulation theory;
• basic stages in organization of research work, basic requirements to execution and content of records on research work performed, formulae, tables etc.  submission guidelines ;
• dynamic optimization models; mathematic models of optimal control for continuous and discrete processes, their comparative study;
• basic analytical models and numerical methods of mathematic simulation;
• software tools of mathematic simulation;

be able to:

• use listed knowledge in exploratory and experimental activity which requires to use mathematic simulation methods;
• set the goals of simulation, find out links between figures, use the in model received information for process management;
• represent problems and define objects and tasks of research;
• conduct problem analysis with mathematic simulation methods on the base of basic mathematic knowledge;

be master of:

• scientific knowledge method;
• skills of information models creation;
• analytical and quantitative methods in solving of standard mathematic models;
• methods of optimal control of continuous and discrete processes for optimization of application and information processes;
• techniques of computing mathematic simulation;
• skills of analytical and numerical mathematic simulation.

List of Topics

Topic title

Contact hours

Assignments and independent study hours

1. Classification of models and types of simulation

2

6

2. Steps of mathematical simulation.

0

10

3. Building principles and basic requirements to mathematical models systems

2

6

4. Basic circuits of mathematical simulation.

10

20

5. Statistic simulation.

0

12

6. Characterization of system process.

0

16

7. Simulation languages.

0

16

8. Simulation modeling

4

14

9. Simulation of control systems

8

18

Assessment requirements

Maximum semester rating – 100 points. Points are allocated on the semester part and the exam ones: 80 points are available for the ongoing work of the semester, and 20 points – for the answers on the exam.

Assessment criteria

Activity at the seminars – up to 30 points,  report on the independent work – up to 50 points, exam – up to 20 points

The composition of final accumulative mark

Author of the course

Shidlovskiy Stanislav V., professor of the Department of Quality Control of the Faculty of Innovative Technologies, Tomsk State University