M1100-CMS31
Computational Mathematics Basics
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| Module Owner: |
N.N. |
| Displayed in timetable as: |
CMS-CMA-ELG |
| Duration: |
2 |
| Number of electives: |
0 |
| Credits: |
10,0
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| Start Semester: |
WiSe 2021/22 |
| Lecturer Responsible |
Prof. Dr. Axel Voigt
axel.voigt@tu-dresden.de
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| Qualification Goals |
The students master the basic competences for the application of computer-aided modelling and simulation in mathematics. They have in-depth knowledge of the application domain and are able to intuitively present simulation results. They have in-depth knowledge of the application domain and are able to intuitively present simulation results. |
| Content |
The content of the module depends on the student’s main focus: Identification and processing of mathematical problems, interpretation and presentation of the results and formulation of the mathematical problem as a computer programme, applications from molecular modelling, biophysics or numerics, the mathematics of partial differential equations, object-oriented scientific programming. |
| Forms of Teaching and Learning |
The module includes lectures, exercises, seminars, tutorials, internships and project work in the amount of 8 SWS and self-study. The courses are to be selected from the CMS-CMA-ELG catalogue to the specified extent; this will be announced as usual at the Faculty of Computer Science, at the beginning of each semester, in writing, including the language of the course, the necessary examinations and the weighting of the grades. |
| Prerequisites for Participation |
Knowledge at the Bachelor level is required in sequential computer programming, algorithms and data structures, analysis of functions of one and more variables, linear algebra (vector and matrix calculation) as well as probability calculus and statistics.
With the following literature, students can prepare for the module:
Harel: Algorithmics - The Spirit of Computing, Addison-Wesley, 2004
Schildt: C ++ from the ground up, McGraw-Hill, 2003
Abelson, Hal; Sussman, Gerald Jay: Structure and Interpretation of Computer Programs. MIT Press, 1985;
Cormen, Leiserson, Rivest & Stein: Introduction to Algorithms, 2nd Edition, MIT Press 2001;
Lax, Terrell: Multivariable Calculus with Applications (Undergraduate Texts in Mathematics), Springer, 2018
Hefferon, Jim: Linear Algebra, http://joshua.smcvt.edu/linearalgebra/, 2008. |
| Applicability |
The module is a compulsory module for students of the track computational mathematics in the master's Program computational Modelling and simulation. |
| Prerequisites for the Assignment of Credit Points |
The credit points are awarded if the module examination is passed. The module examination consists of the examinations specified in the CMS-CMA-ELG catalogue. |
| Credit Points and Grades |
The module allows one to earn 10 credit points. The module grade results from the average of the grades of the examinations performances, weighted according to the catalogue CMS-CMA-ELG. |
| Frequency of Offer |
The module is offered every academic year, starting in the winter semester. |
| Workload |
The workload is a total of 300 hours. |
| Duration of Module |
The module takes two semesters to complete. |
| Module Number Module Handbook TU Dresden |
CMS-CMA-ELG |
