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

• 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

oral presentation

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.

• 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:

Please join the ZOOM meeting (link is provided via TUWEL) at least 10 to 15 minutes before the official start of the exam, such that we have enough time to check your student IDs. When the exam questions appear in TUWEL 5 minutes before the start, you can download them and possibly print them (you can also leave the room if the printer is somewhere else). You can start writing when the exam officially starts and you have time for 2 hours to work on your solutions. Afterwards you will have 15 more minutes to scan your solutions (either with scanner or a smartphone camera) and upload them to TUWEL. You can of course finish earlier if you want. Once your upload is approved by TUWEL, you can leave the web meeting. If you have to leave the meeting in order to scan your solutions you can, but in this case please inform the examiner. If the upload fails for some reason, you can also send the solutions to lukas.babor@tuwien.ac.at .

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