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.

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

Institute

Course dates

DayTimeDateLocationDescription
Mon15:00 - 16:0002.03.2020FH Hörsaal 3 - MATH Vorbesprechung Fachvertiefung Mathematik für ET
Tue15:00 - 17:0003.03.2020 - 30.06.2020 (LIVE)Fachvertiefung Mathematik für ET
Mon15:00 - 17:0009.03.2020FH Hörsaal 3 - MATH Fachvertiefung Mathematik für ET
Specialisation - Mathematics (Selected Topics) - Single appointments
DayDateTimeLocationDescription
Mon02.03.202015:00 - 16:00FH Hörsaal 3 - MATH Vorbesprechung Fachvertiefung Mathematik für ET
Tue03.03.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Mon09.03.202015:00 - 17:00FH Hörsaal 3 - MATH Fachvertiefung Mathematik für ET
Tue10.03.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue17.03.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue24.03.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue31.03.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue07.04.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue14.04.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue21.04.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue28.04.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue05.05.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue12.05.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue19.05.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue26.05.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue09.06.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue16.06.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue23.06.202015:00 - 17:00 Fachvertiefung Mathematik für ET
Tue30.06.202015:00 - 17:00 Fachvertiefung Mathematik für ET

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 CodeObligationSemesterPrecon.Info
033 235 Electrical Engineering and Information Technology Mandatory elective

Literature

Skript is available

Previous knowledge

Calculus, ODE and Linear Algebra

 

Preceding courses

Continuative courses

Language

German