Abschnittsübersicht
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Please check out this section for all practical details related to the course.
Announcements will be published in this forum .
NEW:
Another online surgery hour will be offered Monday, 30/01/23 at 11.00 am on Zoom: -
As the core of simulation is the implementation of mathematical structures into software this course requires some knowledge from previous mathematics, in particular from linear algebra.
If you feel that there could be some gaps start early to revise matrix calculus and close them. The first week of the Semester is a good time for that.
Check if you are familiar with the following topics:
- Vectors: Notation, length of a vector (norm), scalar (dot) product, vector product (cross product)
- Matrices: Notation, unit matrices, diagonal matrices, square matrices, transpose of a matrix, matrix calculus, in particular matrix multiplication, vector-matrix multiplication, manipulation of matrices, rank of a matrix, determinant, singular matrices, inverse of a matrix
- Functions: Polynomials, trigonometric functions etc., zero points (roots), monotony, tangents, min/max, curvature; integration, differentiation
Consult one of your old math books for further reading if necessary.
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Primary text for lecture:
In German
Lothar Papula, Mathematik für Ingenieure und Naturwissenschaftler Band 2, Ein Lehr- und Arbeitsbuch für das Grundstudium, Springer 2014
available online via ebook collection (on campus): http://link.springer.com/book/10.1007/978-3-8348-8643-9
K.A. Stroud, Advanced Engineering Mathematics, Red Globe Press 2020
Introduction to Matlab / Simulink
Scripts:
This inexpensive printed script (in German) contains a basic introduction into Matlab and can be bought at the Rechenzentrum (< 5 EUR):
- MATLAB / Simulink - Eine Einführung, Leibnitz-Universität Hannover, RRZN-Handbuch, 5.Auflage Dezember 2012
Online:
There is a variety of online materials available. A good source is the Website of Mathworks (the MATLAB developer)
- Matlab Handbook for Beginners ("Primer") http://www.mathworks.de/help/pdf_doc/matlab/getstart.pdf
Books:
(most are available in TH AB library)
- Ulrich Stein, Einstieg in das Programmieren mit MATLAB, Hanser Verlag 2011, 3. Auflage
- Ottmar Beucher, MATLAB und Simulink, Pearson Studium 2008
- Frieder Grupp, Florian Grupp, MATLAB 7 für Ingenieure, Grundlagen und Programmierbeispiele, Oldenbourg Verlag 2009, 5. Auflage
- Stormy Attaway, MATLAB - A practical introduction to programming and problem solving, Elsevier 2009
- Brian Hunt et al, A Guide to MATLAB, Cambridge University Press 2013, Third Edition
Advanced reference e.g. for larger (engineering) projects:
- Anne Angermann et al., MATLAB - SIMULINK - STATEFLOW, Grundlagen, Toolboxen, Beispiele Oldenburg Verlag 2014, 8. Auflage
- Josef Hoffmann, Spektrale Analyse mit MATLAB und Simulink, Oldenbourg Verlag 2011
For revision of textbook mathematics (German):
- Papula, Lothar: Mathematik für Ingenieure und Naturwissenschaftler Band 1, Braunschweig, Vieweg und Teubner
For simple reference (Formelsammlung)
- Papula, Lothar, Mathematische Formelsammlung für Ingenieure und Naturwissenschaftler. Wiesbaden: Vieweg und Teubner
- Bronstein, Taschenbuch der Mathematik
Numerical Computing with Matlab
Online materials
- Numerical computing with Matlab, http://de.mathworks.com/moler/chapters.html Some of the chapters correspond to lectures.
- Jefferey Cooper, A MatLab Companion for Multivariate Calculus, https://math.sci.ccny.cuny.edu/document/show/880
Books:
- Jaan Kuisalaas, Numerical Methods in Engineering with MATLAB, 3rd Edition, CUP 2016
- Ward Cheney and David Kincaid, Numerical Mathematics and Computing, 7th Edition 2012, (International Edition - cheap Paperback available)
- David Kincaid, Ward Cheney, Numerical Analysis, Mathematics of Scientific Computing, American Mathematical Society (AMS), Third Edition (Hardcopy)
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Matlab is a high-level mathematics programming environment and used a lot in engineering and the sciences. We will spend about two weeks to cope with the basic functionalities.
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We discuss important techniques of data Analysis which are related to systems of coupled linear equations.
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Merry Christmas and a Happy New Year!
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Teilnehmer/innen müssenAls erledigt kennzeichnen
This is a short example of some typical previous exam question in numerics. You should be able to complete it in 20 min.
Note that I did not use inline functions. Feel free to use anonymous function definitions. For plotting, check the plot3 help first.
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A periodic function which meets the Dirichlet conditions can be represented by a Fourier series. We discuss the calculation of Fourier coefficients.
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Teilnehmer/innen müssenAls erledigt kennzeichnen
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Teilnehmer/innen müssenAls erledigt kennzeichnen
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