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Modelling, Simulation and Visualization (3 ECTS)

Code: TX00EL40-3005

General information


Enrollment
05.05.2025 - 06.08.2025
Enrollment is ongoing
Enroll to the implementation in OMA
Timing
11.08.2025 - 15.08.2025
The implementation has not yet started.
Number of ECTS credits allocated
3 ECTS
Mode of delivery
On-campus
Unit
School of ICT and Industrial Management
Campus
Leiritie 1
Teaching languages
English
Seats
0 - 24

Implementation has 5 reservations. Total duration of reservations is 20 h 0 min.

Time Topic Location
Mon 11.08.2025 time 09:00 - 13:00
(4 h 0 min)
Modelling, Simulation and Visualization TX00EL40-3005
MMB243 Oppimistila
Tue 12.08.2025 time 09:00 - 13:00
(4 h 0 min)
Modelling, Simulation and Visualization TX00EL40-3005
MMB243 Oppimistila
Wed 13.08.2025 time 09:00 - 13:00
(4 h 0 min)
Modelling, Simulation and Visualization TX00EL40-3005
MMB243 Oppimistila
Thu 14.08.2025 time 09:00 - 13:00
(4 h 0 min)
Modelling, Simulation and Visualization TX00EL40-3005
MMB243 Oppimistila
Fri 15.08.2025 time 09:00 - 13:00
(4 h 0 min)
Modelling, Simulation and Visualization TX00EL40-3005
MMB243 Oppimistila
Changes to reservations may be possible.

Learning outcomes

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.

Prerequisites

Basic mathematics and complex numbers, basic programming skills

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

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