TU Wien:Numerical Computation VU (Sturm)

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Daten[Bearbeiten | Quelltext bearbeiten]

Vortragende Tuan Tung Nguyen• Kevin Sturm
ECTS 5,5
Letzte Abhaltung 2025W
Sprache English
Mattermost numerical-computation • Register • Mattermost-Infos
Links tiss:101973, eLearning
Zuordnungen
Bachelorstudium Informatik Modul Numerical Computation (Breite Wahl)
Bachelorstudium Medizinische Informatik Modul Introduction to Numerics (Gebundenes Wahlfach)
Bachelorstudium Software & Information Engineering Modul Introduction to Numerics (Gebundenes Wahlfach)
Bachelorstudium Technische Informatik Modul Numerical Computation (Gebundenes Wahlfach)
Masterstudium Data Science Modul FDS/EX - Fundamentals of Data Science - Extension (Gebundenes Wahlfach)
Masterstudium Visual Computing Modul Numerical Computation * (Gebundenes Wahlfach)


Inhalt[Bearbeiten | Quelltext bearbeiten]

  • Interpolation, Extrapolation, Approximation
    • Polynomials
    • FFT
    • Least squares
  • Numerical Differentiation and Integration
  • Condition of mathematical problems and errors
  • Solution of linear and non-linear systems
    • QR/LU-Decomposition
    • SVD
    • Newton-Method
  • Eigenvalues
  • Differential equations (if time)

Ablauf[Bearbeiten | Quelltext bearbeiten]

Lectures, exercise classes, two partial exams

Benötigte/Empfehlenswerte Vorkenntnisse[Bearbeiten | Quelltext bearbeiten]

linear algebra, multi-variate real analysis

As taught in TU_Wien:Analysis_VU_(diverse), TU_Wien:Analysis_2_VO_(Panholzer), TU_Wien:Algebra_und_Diskrete_Mathematik_VU_(diverse).

Vortrag[Bearbeiten | Quelltext bearbeiten]

Two lectures per week. Theory is presented on the blackboard, supported by sildes and Jupyter notebooks.

Attendance is not mandatory, however all relevant information is only given during the lectures (no streaming/recordings).

Übungen[Bearbeiten | Quelltext bearbeiten]

Weekly exercise class (checkmark) with pencil-and-paper theory tasks (blackboard) and practical programming tasks in Python/MATLAB (projector). Theory (mostly) examines:

  • Convergence of algorithms
  • Complexity
  • Errors

Attendance mandatory, one unexcused absence tolerated.

Prüfung, Benotung[Bearbeiten | Quelltext bearbeiten]

Grade: Exercises marks(33) + Exam marks(66 in cumulo). Usual grade distribution. Replacement exam for one partial exam not failed too badly.

Two partial exams (November, January) covering the first/second half of the lecture. Mode: pencil-and-paper. Theoretical exercises and practical computations similiar to the exercises.

Dauer der Zeugnisausstellung[Bearbeiten | Quelltext bearbeiten]

noch offen

Zeitaufwand[Bearbeiten | Quelltext bearbeiten]

noch offen

Unterlagen[Bearbeiten | Quelltext bearbeiten]

Old (outdated) lecture notes available on TUWEL.

Tipps[Bearbeiten | Quelltext bearbeiten]

Attend the lecture and keep complete notes of the blackboard.

Highlights / Lob[Bearbeiten | Quelltext bearbeiten]

Interesting topics relevant for practical application in engineering (solving linear systems, interpolation, approximating Eigenvalues). The lecturer presents the lecture content in a way non-mathematicians can follow. Often, creative proof/solution techniques are presented rather than copying standard textbooks which strengthens the understanding of how topics align.

Verbesserungsvorschläge / Kritik[Bearbeiten | Quelltext bearbeiten]

Also assess programming during exams. Also treat differential equations.

Materialien

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