# 322.036 Numerical Methods in Engineering This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",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_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2022S 2021S 2020S 2019S 2018S 2017S 2016S 2015S 2014S 2013S 2012S 2011S 2010S 2009S 2008S

2021S, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Distance Learning

## 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.

## Course dates

DayTimeDateLocationDescription
Tue09:30 - 11:0009.03.2021 - 29.06.2021 (LIVE)Termin NumIng
Numerical Methods in Engineering - Single appointments
DayDateTimeLocationDescription
Tue09.03.202109:30 - 11:00 Termin NumIng
Tue16.03.202109:30 - 11:00 Termin NumIng
Tue23.03.202109:30 - 11:00 Termin NumIng
Tue13.04.202109:30 - 11:00 Termin NumIng
Tue20.04.202109:30 - 11:00 Termin NumIng
Tue27.04.202109:30 - 11:00 Termin NumIng
Tue04.05.202109:30 - 11:00 Termin NumIng
Tue11.05.202109:30 - 11:00 Termin NumIng
Tue18.05.202109:30 - 11:00 Termin NumIng
Tue01.06.202109:30 - 11:00 Termin NumIng
Tue08.06.202109:30 - 11:00 Termin NumIng
Tue15.06.202109:30 - 11:00 Termin NumIng
Tue22.06.202109:30 - 11:00 Termin NumIng
Tue29.06.202109:30 - 11:00 Termin NumIng

## 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:

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri12:00 - 14:0014.10.2022FH Hörsaal 1 - MWB written13.09.2022 09:00 - 13.10.2022 17:00TISSBeginning of WS
Fri12:00 - 14:0016.12.2022EI 7 Hörsaal - ETIT written08.11.2022 09:00 - 08.12.2022 17:00TISSMid of WS
Mon10:00 - 12:0030.01.2023FH Hörsaal 1 - MWB written29.12.2022 09:00 - 29.01.2023 17:00TISSEnd of WS
Thu12:00 - 14:0030.03.2023FH Hörsaal 1 - MWB written06.03.2023 07:00 - 27.03.2023 23:59TISSBeginning of SS
Tue16:00 - 18:0023.05.2023HS 18 Czuber - MB written08.05.2023 08:00 - 22.05.2023 12:00TISSMid of SS
Fri12:00 - 14:0030.06.2023FH Hörsaal 1 - MWB written20.06.2023 08:00 - 10.07.2023 08:00TISSEnd of SS

## Course registration

Begin End Deregistration end
01.02.2021 00:00

## Curricula

Study CodeSemesterPrecon.Info
033 245 Mechanical Engineering 4. Semester
Course requires the completion of the introductory and orientation phase
033 282 Mechanical Engineering - Management
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management 4. 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

German