Course objectives:
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The aim of of the course is to become acquainted with the mathematical modeling from the engineering point of view.
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Requirements on student
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Proficiency in discussed topics.
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Content
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- Newton's laws and calculus.
- Classical mechanics models
- The heat equation in thermodynamics
- Radioactive decay in nuclear physics.
- Verhulst equation (biological population growth)
- Model evaluation (fit to empirical data, scope of model, causality, purpose)
- Second order dynamical systems.
- Classifying mathematical models (linear vs. nonlinear, deterministic vs. probabilistic, static vs. dynamic, lumped vs. distributed parameters).
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Practical training (number of hours)
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26
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Preparation for comprehensive test (10-40)
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16
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Presentation preparation (report) (1-10)
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10
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Total
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52
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
have a basic knowledge of physics and mathematics |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
apply and use knowledge from physics and mathematics |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
describe mathematical models from an engineering point of view |
relate the methods and approaches of mathematical models into the approaches and solutions of dynamic systems |
Skills - skills resulting from the course: |
apply knowledge to solve dynamic systems |
use learned approaches for solving mathematical models |
Competences - competences resulting from the course: |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Skills demonstration during practicum |
Skills - skills achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Skills demonstration during practicum |
Competences - competence achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Skills demonstration during practicum |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Practicum |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Practicum |
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