19M081MMS - Mathematical modeling and simulations
Course specification | ||||
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Course title | Mathematical modeling and simulations | |||
Acronym | 19M081MMS | |||
Study programme | ||||
Module | ||||
Type of study | master academic studies | |||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 6.0 | Status | elective | |
Condition | Mathematical subjects of bachelor studies | |||
The goal | Linking and applying knowledge in Mathematics, Electrical Eengineering and Computer Science in forming mathematical models describing real systems in different fields, and creating simulations - computer experiments, based on formed models, that are necessary to understand, anticipate, and optimize modeled systems. | |||
The outcome | Upon completion of the course, the student is able to define, describe and apply basic concepts related to mathematical modeling and simulation of many contemporary problems in the field of Electrical Engineering and Computer Science, and to solve the selected problems by applying adequate mathematical methods and computer tools by creating simulations. | |||
Contents | ||||
Contents of lectures | Introduction to mathematical modeling and simulation, simulation cycle; Model classes, selection of tools for describing models, performance model properties. Examples of discrete models and simulation methods (game theory, decision theory, discrete events). Examples of continuous models and simulations (dynamic systems, traffic simulations, models based on partial differential equations). | |||
Contents of exercises | Through examples, tasks and problems, a student learns how to apply theorems and basic concepts studied though theoretical concepts. Student is specially prepared to solve problems that arise in Electrical Engineering subjects, using mathematical software packages. | |||
Literature | ||||
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Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
3 | 1 | |||
Methods of teaching | Combination of traditional presentation on blackboard, use of slides, free mathematical software (SAGE, Python with libraries), individual work with students on the projects and explanation of current topics. | |||
Knowledge score (maximum points 100) | ||||
Pre obligations | Points | Final exam | Points | |
Activites during lectures | Test paper | 20 | ||
Practical lessons | Oral examination | 20 | ||
Projects | 60 | |||
Colloquia | ||||
Seminars |