# 101.973 Numerical Computation 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"});}); 2023W 2022W

2023W, VU, 4.0h, 5.5EC

## Properties

• Semester hours: 4.0
• Credits: 5.5
• Type: VU Lecture and Exercise
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to solve basic numerical tasks in areas such as interpolation, extrapolation, numerical integration, solution of linear and nonlinear equations. They should know the basic algorithms, their properties (convergence properties, complexity, conditioning), and they should be able to realize the algorithms in a modern computing environment.

## Subject of course

Basic error concepts: condition of mathematical problems, data error, discretization error, round-off error. Numerical solution of linear and nonlinear  systems of equations, numerical differentiation and integration, polynomial interpolation and approximation, QR-decomposition and SVD, FFT, numerical solution of differential equation

## Teaching methods

The algorithms are presented and analyzed mathematically with respect to their convergence and complexity properties. Numerical examples illustrate the algorithms' properties. The exercises deepen the understanding of the algorithms and their properties by some further mathematical analysis, implementation of the algorithms in Matlab or Python, and studies of numerical examples that showcase the behavior of the algorithms.

Immanent

## Course dates

DayTimeDateLocationDescription
Tue08:00 - 10:0003.10.2023 - 23.01.2024FH Hörsaal 3 - MATH Vorlesung Dienstag
Wed09:00 - 10:0004.10.2023 - 24.01.2024Sem.R. DA grün 04 Lecture Wednesday
Tue10:00 - 11:0017.10.2023 - 23.01.2024Sem.R. DA grün 03 A Exercise Group A
Tue11:00 - 12:0017.10.2023 - 23.01.2024Sem.R. DB gelb 04 Exercise Group B
Fri14:00 - 16:0024.11.2023EI 9 Hlawka HS - ETIT Test 24.11.
Wed16:00 - 18:0024.01.2024HS 18 Czuber - MB Test 24.1.
Fri13:00 - 15:0023.02.2024Sem.R. DA grün 06B Re-Test 23.2.
Numerical Computation - Single appointments
DayDateTimeLocationDescription
Tue03.10.202308:00 - 10:00FH Hörsaal 3 - MATH Vorlesung Dienstag
Wed04.10.202309:00 - 10:00Sem.R. DA grün 04 Lecture Wednesday
Tue10.10.202308:00 - 10:00FH Hörsaal 3 - MATH Vorlesung Dienstag
Wed11.10.202309:00 - 10:00Sem.R. DA grün 04 Lecture Wednesday
Tue17.10.202308:00 - 10:00FH Hörsaal 3 - MATH Vorlesung Dienstag
Tue17.10.202310:00 - 11:00Sem.R. DA grün 03 A Exercise Group A
Tue17.10.202311:00 - 12:00Sem.R. DB gelb 04 Exercise Group B
Wed18.10.202309:00 - 10:00Sem.R. DA grün 04 Lecture Wednesday
Tue24.10.202308:00 - 10:00FH Hörsaal 3 - MATH Vorlesung Dienstag
Tue24.10.202310:00 - 11:00Sem.R. DA grün 03 A Exercise Group A
Tue24.10.202311:00 - 12:00Sem.R. DB gelb 04 Exercise Group B
Wed25.10.202309:00 - 10:00Sem.R. DA grün 04 Lecture Wednesday
Tue31.10.202310:00 - 11:00Sem.R. DA grün 03 A Exercise Group A
Tue31.10.202311:00 - 12:00Sem.R. DB gelb 04 Exercise Group B
Tue07.11.202308:00 - 10:00FH Hörsaal 3 - MATH Vorlesung Dienstag
Tue07.11.202310:00 - 11:00Sem.R. DA grün 03 A Exercise Group A
Tue07.11.202311:00 - 12:00Sem.R. DB gelb 04 Exercise Group B
Wed08.11.202309:00 - 10:00Sem.R. DA grün 04 Lecture Wednesday
Tue14.11.202308:00 - 10:00FH Hörsaal 3 - MATH Vorlesung Dienstag
Tue14.11.202310:00 - 11:00Sem.R. DA grün 03 A Exercise Group A

## Examination modalities

Checkmark exercise and two tests

## Group dates

GroupDayTimeDateLocationDescription
Gruppe ATue10:00 - 11:0017.10.2023 - 23.01.2024 Sem.R. DA grün 03 A101.973 Numerical Computation Gruppe A
Gruppe BTue11:00 - 12:0017.10.2023 - 23.01.2024Sem.R. DB gelb 04 101.973 Numerical Computation Gruppe B
Gruppe CTue11:00 - 12:0017.10.2023 - 23.01.2024Sem.R. DA grün 04 101.973 Numerical Computation Gruppe C

## Course registration

Use Group Registration to register.

## Group Registration

GroupRegistration FromTo
Gruppe A25.09.2023 11:0010.10.2023 23:59
Gruppe B25.09.2023 10:0010.10.2023 23:59
Gruppe C01.10.2023 00:0010.10.2023 23:59

## Curricula

Study CodeObligationSemesterPrecon.Info
033 521 Informatics Mandatory elective
Course requires the completion of the introductory and orientation phase
033 533 Medical Informatics Mandatory elective
Course requires the completion of the introductory and orientation phase
033 534 Software & Information Engineering Mandatory elective
Course requires the completion of the introductory and orientation phase
033 535 Computer Engineering Mandatory elective
Course requires the completion of the introductory and orientation phase
066 421 Geodesy and Geoinformation Mandatory elective2. Semester
Course requires the completion of the introductory and orientation phase
066 646 Computational Science and Engineering Not specified1. Semester

## Literature

There will be lecture notes in TUWEL!

## Previous knowledge

linear algebra and analysis. Matlab or Python

English