Modelling, Simulation and Visualization (3 cr)
Code: TX00EL40-3001
General information
Enrollment
04.05.2020 - 02.08.2020
Timing
03.08.2020 - 10.08.2020
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
ICT ja tuotantotalous
Campus
Karaportti 2
Teaching languages
- English
Seats
0 - 24
Degree programmes
- Degree Programme in Information Technology
- Tieto- ja viestintätekniikan tutkinto-ohjelma
Teachers
- Thomas Westermann
Groups
-
ICTSUMMERICT Summer School
Objective
Knowledge and understanding:
The students will learn how to solve basic mathematical problems with Maple on the computer. They are able to differentiate or integrate a function, to solve equations and differential equations, and to graphically display functions by means of graphs, 3D plots and animations.
Skills:
The students are able to compute the Fourier series of a signal with Maple to perform a signal analysis. They are also able to analyze non-periodic signals applying the Fourier transform.
Content
We will start with an introduction to the computer program Maple. With only few commands, we are able to display or animate, to visualize in 3D or to animate in 3D physical and engineering expressions. In the next step, we will directly apply a method to model electric circuits that consist of R- (Resistor), L- (Inductor) or C- (Capacitor) elements in case of an AC voltage. With this method we can model any kind of circuits that consist of as many elements as necessary.
We will continue the lecture with the modeling of the time behavior the electrical systems. This is done by the setup of ordinary differential equations. With the help of Maple, we solve these differential equations numerically in order to get the impulse response. Finally, with its visualization tools we visualize the time behavior of the systems.
The last part of the lecture is related to the system analysis by means of the frequency analysis. Using system routines like FFT we identify the frequency behavior of systems. Once again by visualizing the results we identify the relations between frequency analysis and system theory: impulse signal, impulse response, transfer function, and system function.
Materials
Webpage for the course: http://www.home.hs-karlsruhe.de/~weth0002/
-> Veranstaltungen -> Block-Veranstaltungen -> Modelling, Simulation, Visualization
eBook: https://www.amazon.de/System-Analysis-Modelling-Simulation-Visualization-ebook/dp/B07QWFD3NT
Paperback: https://www.amazon.de/System-Analysis-Modelling-Simulation-Visualization/dp/3982065003
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
More than 50% of points
Assessment criteria, good (3)
More than 70% of points
Assessment criteria, excellent (5)
More than 90% of points
Assessment criteria, approved/failed
40% of points
Assessment methods and criteria
Daily exercises assigned on the course are worth 40%. A homework project will be worth 30% and a final online exam is worth 30%.
Qualifications
Basic mathematics and complex numbers, basic programming skills
Further information
Intensive course with hands-on exercises on paper and with the computer.
A computer with Maple (Student trial version) is required.
Webpage for the course: http://www.home.hs-karlsruhe.de/~weth0002/
-> Veranstaltungen -> Block-Veranstaltungen -> Modelling, Simulation, Visualization