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Curriculum

Modul MA3110-KP04, MA3110

Numerics 1 (Num1KP04)

Duration:


1 Semester
Turnus of offer:


each winter semester
Credit points:


4
Course of studies, specific field and terms:
  • Master Auditory Technology 2022 (optional subject), Elective, Arbitrary semester
  • Bachelor Computer Science 2019 (optional subject), Extended optional subjects, Arbitrary semester
  • Bachelor MES 2020 (optional subject), mathematics / natural sciences, 3rd semester at the earliest
  • Bachelor Robotics and Autonomous Systems 2020 (optional subject), mathematics, 5th or 6th semester
  • Bachelor Medical Informatics 2019 (optional subject), mathematics, 4th to 6th semester
  • Bachelor IT-Security 2016 (optional subject), mathematics, Arbitrary semester
  • Master Auditory Technology 2017 (optional subject), compulsory module depending on previous knowledge , 1st semester
  • Bachelor Computer Science 2016 (optional subject), advanced curriculum, Arbitrary semester
  • Bachelor Computer Science 2016 (optional subject), Canonical Specialization Web and Data Science, 3rd semester
  • Bachelor Robotics and Autonomous Systems 2016 (optional subject), mathematics, 5th or 6th semester
  • Bachelor Medical Informatics 2014 (optional subject), mathematics, 5th or 6th semester
  • Bachelor MES 2014 (optional subject), mathematics / natural sciences, 3rd or 5th semester
  • Bachelor Computer Science 2014 (optional subject), central topics of computer science, 5th semester
  • Master MES 2011 (optional subject), mathematics, 1st semester
  • Bachelor MES 2011 (optional subject), mathematics, 3rd semester
  • Bachelor Computer Science 2012 (optional subject), mathematics, 5th or 6th semester
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
Requires:
Responsible for this module:
Teachers:
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.

Letzte Änderung:
18.7.2022