# 101.440 Specialisation - Mathematics (Selected Topics) This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023S 2022S 2021S 2020S 2019S 2018S 2017S 2016S 2015S 2014S 2013S 2012S

2022S, VU, 4.0h, 5.0EC

## Properties

• Semester hours: 4.0
• Credits: 5.0
• Type: VU Lecture and Exercise
• Format: Hybrid

## 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.

Written and oral

## Course dates

DayTimeDateLocationDescription
Tue15:00 - 16:0001.03.2022Sem.R. DB gelb 03 Preliminary Discussion
Tue15:00 - 17:0001.03.2022 - 28.06.2022Sem.R. DB gelb 03 VU
Mon15:00 - 17:0007.03.2022 - 27.06.2022Sem.R. DB gelb 03 VU
Specialisation - Mathematics (Selected Topics) - Single appointments
DayDateTimeLocationDescription
Tue01.03.202215:00 - 16:00Sem.R. DB gelb 03 Preliminary Discussion
Tue01.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon07.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue08.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon14.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue15.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon21.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue22.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon28.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue29.03.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon04.04.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue05.04.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon25.04.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue26.04.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon02.05.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue03.05.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon09.05.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue10.05.202215:00 - 17:00Sem.R. DB gelb 03 VU
Mon16.05.202215:00 - 17:00Sem.R. DB gelb 03 VU
Tue17.05.202215:00 - 17:00Sem.R. DB gelb 03 VU

## 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
01.03.2022 00:00 01.04.2022 13:00 01.04.2022 13:00

## Group Registration

GroupRegistration FromTo
Gruppe 102.03.2022 00:0029.03.2022 01:00
Gruppe 202.03.2022 00:0029.03.2022 01:00
Gruppe 302.03.2022 00:0029.03.2022 01:00
Gruppe 402.03.2022 00:0029.03.2022 00:00

## Curricula

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

## Literature

Skript is available

## Previous knowledge

Calculus, Ordinary Differential Equations and Linear Algebra

German