FY512: Modeling of physical systems
Study Board of Science
Teaching language: Danish, but English if international students are enrolled
EKA: N500006102
Assessment: Second examiner: Internal
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Bachelor
STADS ID (UVA): N500006101
ECTS value: 5
Date of Approval: 25-04-2019
Duration: 1 semester
Version: Archive
Comment
Entry requirements
Academic preconditions
Students taking the course are expected to:
- Have good knowledge about the scientific method as well as mathematical models from the natural- and engineering sciences, e.g. from the first two years of study or equivalent.
- Be able to use a computer simulation tool as e.g. matlab.
Course introduction
The aim of the course is to enable the student to formulate, evaluate and generalize mathematical models and computer simulations, which are critical to both physics and engineering and desirable for most other natural science areas.
The course builds on the knowledge acquired in the courses in the first two years of study, and gives an academic basis for understanding and applying mathematical modeling and computer simulation, which are crucial components of the natural- and engineering science competencies.
In relation to the competence profile of the degree it is the explicit focus of the course to:
- Provide competence to understand, formulate, implement, analyze, evaluate and generalize mathematical models and computer simulations.
- Provide general knowledge about the challenges and opportunities professionals are confronted with in mathematical modeling and computer simulations.
Expected learning outcome
The learning objectives of the course are that the student demonstrates the ability to:
- Understand and evaluate how mathematical models and computer simulations are constructed and tested.
- Provide practical experience in the formulation and implementation of mathematical models and computer simulations.
Content
The following main topics are contained in the course:
- Mathematical modeling and computer simulations as scientific tools.
- System formulation and observables; level of description and level of aggregation; object(agent)- and model based simulations; deterministic-, stochastic-, continuous- and discrete descriptions.
- Simple differential equation and lattice simulations.
- Examples of model formulations and simulations of complex systems from different scientific areas.
- Examples of system design and optimization via simulations.
- Simple time series analysis examples.
- Interpretation of data and evaluation of model and simulation output.
Literature
Examination regulations
Exam element a)
Timing
Autumn
Tests
Oral exam based on the mini-project made in the course.
EKA
N500006102
Assessment
Second examiner: Internal
Grading
7-point grading scale
Identification
Student Identification Card
Language
Normally, the same as teaching language
Examination aids
To be announced during the course
ECTS value
5
Additional information
Half of the grade is determined from a short presentation and examination of the report, while the other half of the grade is determined from an examination of a course topic (randomly selected by the student).
Indicative number of lessons
Teaching Method
On the faculty og science, teaching is organized after the three-phase model ie. intro, training and study phase.
- Intro phase (lecture, holding hours) - Number of hours: 14
- training phase: Number of hours: 26, of which Tutorial: 14 hours and laboratory: 12 hours
Activities during the study phase:
- Formulation, implementation and testing of simple mathematical models and computer simulations.
- In the latter part of the semester there formulates, implements and tests a more comprehensive computer simulation, where the modeling and the results are summarized in a report (max 10 pages + appendix with computer code) submitted to the teacher. This work may be done in groups of up to three (3) students.