# 322.036 Numerical Methods in Engineering 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 2011S 2010S 2009S 2008S

2022S, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• LectureTube course
• Format: Hybrid

## Learning outcomes

After successful completion of the course, students are able to:

• calculate simple numerical procedures manually
• manually approximate functions
• perform quadratic interpolations in everyday life
• discretize differential equations
• apply boundary conditions and solve eigenvalue problems
• convert higher order differential equations into first order differential equations
• perform error calculations and error estimates for numerical methods
• apply simple numerical methods to specific problems
• explain the advantages and disadvantages as well as the differences between numerical methods
• describe the limits of the applicability of simple numerical methods

## Subject of course

• basics of numerical arithmetic
• basics of numerical linear algebra
• methods for solving nonlinear equations
• approximations of functions
• numerical differentiation and integration
• boundary value problems, initial value problems, eigenvalue problems

## Teaching methods

oral presentation

## Mode of examination

Written

This course is taught in English.

According to the current status (18.02.2022) first lecture / preliminary meeting on

Di, 01.03.2022 von 10:00-12:00 im HS 18 Czuber - MB.

## Course dates

DayTimeDateLocationDescription
Tue10:00 - 12:0001.03.2022 - 28.06.2022HS 18 Czuber - MB Vorlesung
Numerical Methods in Engineering - Single appointments
DayDateTimeLocationDescription
Tue01.03.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue08.03.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue15.03.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue22.03.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue29.03.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue05.04.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue26.04.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue03.05.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue10.05.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue17.05.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue24.05.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue31.05.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue14.06.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue21.06.202210:00 - 12:00HS 18 Czuber - MB Vorlesung
Tue28.06.202210:00 - 12:00HS 18 Czuber - MB Vorlesung

## Examination modalities

• a non-programmable calculator is allowed.
• questions are in English but help/vocabulary list can be provided. Answers preferably in English, but German is also accepted.
• documents are not allowed

The exams marked as "online" will mostly follow these recommendations. It is not necessary to reproduce the exact same layout of your desk and camera, as soon as the camera captures what it should. There are 2 options for attending the exam:

1. If you have a printer, you can print the questions 5 minutes before the exam starts. In this case your camera should capture your face and your desk.
2. If you don't have a printer, you can read the questions from a desktop/laptop/tablet/reader or a similar device, to which you can download a PDF before the exam starts. In this case your camera must capture your desk including the screen of the device from which you read the questions. In case you want to read the question and connect to the web meeting from the same device with an in-built webcam, you can place a mirror behind yourselves to ensure that we can see your screen.

The exams will not be recorded. Please pay attention to the following points of the new directive on online examinations:

• Oral follow-up questions can be asked to check the plausibility of answers within four weeks from the taking of the exam. They are not part of the assessment, but only serve as a proof of authorship of the submitted solution.
• Students who are on the waiting list for an examination date must appear on the day of the examination or withdraw from the examination in due time (§ 16 para. 5 Study Law Provisions of the Statutes). The students must therefore log in to the online examination according to the respective instructions of the examiner and are in the assigned waiting room or breakout room in ZOOM until it is determined whether examination places are available.

Time schedule:

## Course registration

Begin End Deregistration end
31.01.2022 00:00

## Curricula

Study CodeObligationSemesterPrecon.Info
033 245 Mechanical Engineering Mandatory4. Semester
Course requires the completion of the introductory and orientation phase
033 282 Mechanical Engineering - Management Not specified
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management Mandatory4. Semester
Course requires the completion of the introductory and orientation phase

## Literature

Dahmen & Reusken (2006): Dahmen, W. & Reusken, A. (2006), Numerik für Ingenieure und Naturwissenschaftler, Springer, Berlin, Heidelberg. (e 29,95) Freund et al. (2007): Freund, R. W., Hoppe, R. H. W., Stoer, J. & Burlisch, R. (2007), Stoer/Bulirsch: Numerische Mathematik 1, Springer, Berlin, Heidelberg. (e 24,95) Golub & van Loan (1989): Golub, H. G. & van Loan, H. G. (1989), Matrix Computations, Johns Hopkins University Press. (e 34,95) Hanke-Bourgeois (2002): Hanke-Bourgeois, M. (2002), Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens, Teubner, Wiesbaden. (e 52,00) Huckle & Schneider (2006): Huckle, T. & Schneider, S. (2006), Numerische Methoden, Springer, Berlin, Heidelberg. (e 21,00) Moler (2004): Moler, C. B. (2004), Numerical Computing with MATLAB, SIAM, Philadelphia.(e 40,99) Press et al. (1992): Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. (1992), Numerical Receipes in C, Cambridge University Press, Cambridge. (umfangreich, vergriffen) Quarteroni & Saleri (2006): Quarteroni, A. Saleri, F. (2006), Wissenschaftliches Rechnen mit MATLAB, Springer, Berlin, Heidelberg. (e 29,95) Stoer & Burlisch (2005): Stoer Stoer, J., Burlisch, R. (2005), Numerische Mathematik 2, Springer, Berlin, Heidelberg. (e 26,95) iv

## Language

if required in English