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101.440
Specialisation - Mathematics (Selected Topics)
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.
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2020S, VU, 4.0h, 5.0EC
Properties
Semester hours: 4.0
Credits: 5.0
Type: VU Lecture and Exercise
Learning outcomes
After successful completion of the course, students are able to solve basic numerical problems like linear systems, linear regression, interpolation and numerical integration. Students know to set up boundary and initial boundary value problems in principle and in particular for Maxwell’s equations and to solve them approximately by means of the finite difference method to some extent. Furthermore, students are essentially able to derive the weak formulation of simple boundary value problems and to find an approximate solution either by implementing an own computer code of the finite element method for instance in Python or by using Netgen/NGSolve (Open Source Software) to model and simulate problems in electrical engineering and to carry out a validity check.
Subject of course
Linear equation systems, linear regression, interpolation, numerical integration, introduction to partial differential equations, their classification and some essential properties, establishing the initial boundary and boundary value problems based on Maxwell’s equations, discussion of the practical relevance, approximate solution with the finite difference method, method of weighted residuals, idea of the finite element method, derivation of the weak formulation, assembling of the finite element equation systems using hat functions, weak formulations based on a scalar potential and on a vector potential in the context of the Maxwell’s equations, construction of finite element bases for the Sobolev spaces H^1 and H(curl).
Teaching methods
Some simple algorithms are to be implemented in the associated exercises. Small but relevant problems in electrical engineering will be solved using Netgen/NGSolve. To this end partly prepared examples in Python will be provided, which have to be completed or extended.
Mode of examination
Written and oral
Lecturers
Hollaus, Karl
Leumüller, Michael
Schöbinger, Markus
Institute
E101 Institute of Analysis and Scientific Computing
Course dates
Day
Time
Date
Location
Description
Mon
15:00 - 16:00
02.03.2020
FH Hörsaal 3 - MATH
Vorbesprechung Fachvertiefung Mathematik für ET
Tue
15:00 - 17:00
03.03.2020 - 30.06.2020
(LIVE)
Fachvertiefung Mathematik für ET
Mon
15:00 - 17:00
09.03.2020
FH Hörsaal 3 - MATH
Fachvertiefung Mathematik für ET
Show single appointments
Specialisation - Mathematics (Selected Topics) - Single appointments
F
P
1
N
E
Day
Date
Time
Location
Description
Mon
02.03.2020
15:00 - 16:00
FH Hörsaal 3 - MATH
Vorbesprechung Fachvertiefung Mathematik für ET
Tue
03.03.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Mon
09.03.2020
15:00 - 17:00
FH Hörsaal 3 - MATH
Fachvertiefung Mathematik für ET
Tue
10.03.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
17.03.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
24.03.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
31.03.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
07.04.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
14.04.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
21.04.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
28.04.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
05.05.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
12.05.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
19.05.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
26.05.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
09.06.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
16.06.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
23.06.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
Tue
30.06.2020
15:00 - 17:00
Fachvertiefung Mathematik für ET
F
P
1
N
E
Examination modalities
In small groups of 2 or 3 students mathematical exercises have to be solved, simple algorithms have to be implemented and analyzed and simulation exercises have to be carried out and the results discussed. One protocol has to be prepared together by the group.
Course registration
Begin
End
Deregistration end
02.03.2020 16:00
27.03.2020 12:00
27.03.2020 12:00
Curricula
Study Code
Obligation
Semester
Precon.
Info
033 235 Electrical Engineering and Information Technology
Mandatory elective
Literature
Skript is available
Previous knowledge
Calculus, ODE and Linear Algebra
Preceding courses
101.679 VO Mathematics 1 for Electrical Engineering
101.680 UE Mathematics 1 for Electrical Engineering
101.682 VO Mathematics 2 for Electrical Engineering
101.683 UE Mathematics 2 for Electrical Engineering
101.685 VO Mathematics 3 for Electrical Engineering
101.686 UE Mathematics 3 for Electrical Engineering
Continuative courses
101.441 PR Bachelor Thesis with Seminar - Selected Topics in Mathematics
Language
German