Module details

M1100-CMS31  Computational Mathematics Basics

Module Owner: N.N.
Displayed in timetable as: CMS-CMA-ELG
Duration: 3
Number of electives: 0
Credits: 10,0
Start Semester: WiSe 2018/19
Lecturer Responsible Prof. Dr. Axel Voigt
axel.voigt@tu-dresden.de
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 module includes an introduction to the mathematical field computational mathematics.
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

Registration periods

Phase Block Register from | to End cancellation
Ohne Auswahlverfahren Vorlesungszeit 14.09.2018 00:00 | 30.01.2019 23:00 30.01.2019 23:00

Courses

Number Name Semester  
DK1100-MA001X Dummykurs CMS 1 SWS  
DK1100-MA002X Dummykurs CMS 2 SWS  
DK1100-MA003X Dummykurs CMS 3 SWS  
DK1100-MA004X Dummykurs CMS 4 SWS  
DK1100-MA004 Dummykurs CMS 4 SWS WiSe 2018/19
DK1100-MA004X Dummykurs CMS 4 SWS SuSe 2019
K0108-40140bS Wissenschaftliches Arbeiten (S) 1  
K0108-40140bS Wissenschaftliches Arbeiten (S) WiSe 2018/19
K0108-40140bV Wissenschaftliches Arbeiten (V) 1  
K0108-40140bV Wissenschaftliches Arbeiten (V) WiSe 2018/19
K0108-40543xV Numerik partieller Differentialgleichungen (V) 1  
K0108-40543xV Numerik partieller Differentialgleichungen (V) WiSe 2018/19
K0108-40543xV Numerical Mathematics of Partial Differential Equations (L) WiSe 2019/20
K0108-40543xÜ Numerik partieller Differentialgleichungen (Ü) 1  
K0108-40543xÜ Numerik partieller Differentialgleichungen (Ü) WiSe 2018/19
K0108-40543xÜ Numerical Mathematics of Partial Differential Equations (E) WiSe 2019/20
K1107-MA0006V Particle Methods (V) 1  
K1107-MA0006Ü Particle Methods (Ü) 1  
K1112-5MB15bV Principles of Biophysics (V) 1  
K1112-5MB15bÜ Principles of Biophysics (Ü) 1  
K1112-5NB23S Biophysical Methods (S) 1  
K1112-5NB23V Biophysical Methods (V) 1  
K1314-EX3006P Concepts of Molecular Modelling (P) 1  
K1314-EX3006P Concepts of Molecular Modelling (P) WiSe 2018/19
K1314-EX3006P Concepts of Molecular Modelling (P) WiSe 2019/20
K1314-EX3006V Concepts of Molecular Modelling (L) 1  
K1314-EX3006V Concepts of Molecular Modelling (V) WiSe 2018/19
K1314-EX3006Ü Concepts of Molecular Modelling (E) 1  
K1314-EX3006Ü Concepts of Molecular Modelling (Ü) WiSe 2018/19
K1314-EX3006Ü Concepts of Molecular Modelling (Ü) WiSe 2019/20
K0108-40545xV Numerik mit partiellen Differentialgleichungen - weiterführende Konzepte (V) 2  
K0108-40545xV Numerical Mathematics of Partial Differential Equations - Further Concepts (L) SuSe 2019
K0108-40545xÜ Numerik mit partiellen Differentialgleichungen - weiterführende Konzepte (Ü) 2  
K0108-40545xÜ Numerical Mathematics of Partial Differential Equations - Further Concepts (E) SuSe 2019
K0108-40642xV Wissenschaftliches Rechnen - Fortgeschrittene Aspekte (V) 2  
K0108-40642xV Scientific Arithmetic - Advanced Aspects (L) SuSe 2019
K0108-40642xÜ Wissenschaftliches Rechnen - Fortgeschrittene Aspekte (Ü) 2  
K0108-40642xÜ Scientific Arithmetic - Advanced Aspects (E) SuSe 2019
K1112-5NB24V Theoretical Biophysics (L) 2  
K1112-5NB24Ü Theoretical Biophysics (E) 2  

Passing rules

Context Name Description
Global * For information on the module examination please see module description
Global * For information on the module examination please see module description

Requirements

Course / Final module requirements Requirements Compulsory pass Weighting
DK1100-MA001X Dummykurs CMS 1 SWS Assessment No 1
DK1100-MA002X Dummykurs CMS 2 SWS Assessment No 2
DK1100-MA003X Dummykurs CMS 3 SWS Assessment No 3
DK1100-MA004X Dummykurs CMS 4 SWS Assessment No 4
K0108-40140bV Scientific Working (L) Oral Assessment Advanced Concepts of object-oriented Computer Languages No 4
K0108-40543xV Numerical Mathematics of Partial Differential Equations (L) Oral Assessment Numerics of Partial Differential Equations I No 4
K0108-40545xV Numerical Mathematics of Partial Differential Equations - Further Concepts (L) Oral Assessment Numerics of Partial Differential Equations II No 4
K0108-40642xV Scientific Arithmetic - Advanced Aspects (L) Oral Assessment Scientific Computing Advanced Aspects No 4
K1107-MA0006V Particle Methods (L) Written Examination/Oral Assessment Particle Methods No 4
K1112-5MB15bV Principles of Biophysics (L) Written Examination Principles of Biophysics No 4
K1112-5NB23V Biophysical Methods (L) Oral Presentation Biophysical Methods No 4
K1112-5NB24V Theoretical Biophysics (L) Oral Assessment Theoretical Biophysics No 3
K1314-EX3006V Concepts of Molecular Modelling (V) Oral Assessment Concepts of Molecular Modelling No 3
Project Work Concepts of Molecular Modelling No 3

Caption

**

For this final module requirement, several combinations of requirements do exist. The passing rules (see above) specify, whether you have to complete one or several requirement combinations.