Module MA3110-KP04, MA3110
Numerics 1 (Num1KP04)
Duration
1 Semester
Turnus of offer
each winter semester
Credit points
4
Course of studies, specific fields and terms:
- Master Auditory Technology 2022, optional subject, Elective
- Bachelor Computer Science 2019, optional subject, Extended optional subjects
- Bachelor MES 2020, optional subject, mathematics / natural sciences
- Bachelor Robotics and Autonomous Systems 2020 , optional subject, mathematics
- Bachelor Medical Informatics 2019, optional subject, mathematics
- Bachelor IT-Security 2016, optional subject, mathematics
- Master Auditory Technology 2017, optional subject, compulsory module depending on previous knowledge
- Bachelor Computer Science 2016, optional subject, advanced curriculum
- Bachelor Computer Science 2016, optional subject, Canonical Specialization Web and Data Science
- Bachelor Robotics and Autonomous Systems 2016, optional subject, mathematics
- Bachelor Medical Informatics 2014, optional subject, mathematics
- Bachelor MES 2014, optional subject, mathematics / natural sciences
- Bachelor Computer Science 2014, optional subject, central topics of computer science
- Master MES 2011, optional subject, mathematics
- Bachelor MES 2011, optional subject, mathematics
- Bachelor Computer Science 2012, optional subject, mathematics
Classes and lectures:
- Numerics 1 (exercise, 1 SWS)
- Numerics 1 (lecture, 2 SWS)
Workload:
- 20 hours exam preparation
- 55 hours private studies
- 45 hours in-classroom work
Contents of teaching:
- Round-off errors and condition
- Direct solvers for linear equations
- LR decomposition
- Perturbation theory
- Cholesky decomposition
- QR decomposition, least squares fit
Qualification-goals/Competencies:
- Students understand basic numerical tasks.
- They are proficient in the modern programming language MATLAB.
- They can implement theoretical algorithms.
- They can assess the quality of a method (accuracy, stability, complexity).
Grading through:
- written exam
Responsible for this module:
Literature:
- M. Bollhöfer, V. Mehrmann : Numerische Mathematik Vieweg (2004)
- P. Deuflhard, A. Hohmann : Numerische Mathematik I 4. Auflage, De Gruyter (2008)
- P. Deuflhard, F. Bornemann : Numerische Mathematik II 3. Auflage, De Gruyter (2008)
- M. Hanke-Bourgeois : Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens 3. Aufl., Teubner (2009)
- H. R. Schwarz, N. Köckler : Numerische Mathematik 6. Auflage, Teubner (2006)
- J. Stoer : Numerische Mathematik I 10. Auflage, Springer (2007)
- J. Stoer, R. Bulirsch : Numerische Mathematik II 5. Auflage, Springer (2005)
- A. M. Quarteroni, R. Sacco, F. Salieri : Numerical Mathematics 2. Auflage, Springer (2006)
Language:
- offered only in German
Notes:
The lecture is identical to that in module MA3110-MML/Numerics 1.Prerequisites for attending the module:
- None (The competences of the required modules are required for this module, but the modules are not a prerequisite for admission).
Prerequisites for the exam:
- Preliminary examinations can be determined at the beginning of the semester. If preliminary work has been defined, it must have been completed and positively assessed before the initial examination.
Last Updated:
18.07.2022