124.031 Mathematical Methods of Geosciences
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2022W, VO, 2.0h, 2.5EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 2.5
  • Type: VO Lecture
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to select appropriate methods of interpolation and approximation for different applications, perform simple frequency analyses, numerically solve initial value problems, term features and parameters for the characterization of curves and surfaces in the 3D-domain, classify mapping projections and explain spherical harmonics.

Subject of course

Interpolation methods, Fourier and wavelet analysis, spherical harmonics, numerical integration, other mathematical tools used in geodesy and cartography.

Teaching methods

The lecture is planned to be held in the presence mode at the TU. The lecture material (Power Point slides) will be provided in TUWEL.

Mode of examination

Oral

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Thu09:00 - 11:0006.10.2022 - 26.01.2023Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Mathematical Methods of Geosciences - Single appointments
DayDateTimeLocationDescription
Thu06.10.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu13.10.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu20.10.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu27.10.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu03.11.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu10.11.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu17.11.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu24.11.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu01.12.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu15.12.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu22.12.202209:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu12.01.202309:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu19.01.202309:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften
Thu26.01.202309:00 - 11:00Sem.R. DA grün 02 A Mathematische Methoden der Geowissenschaften

Examination modalities

The following topics are discussed in parts during the oral exam:

• Interpolation: methods, advantages, disadvantages, properties
• Approximation: quality criteria, application, orthogonal functions
• Fourier transform: DFT, application, problems, convolution
• Frequency analysis in general: sampling, techniques, problems
• Numerical integration
• Characterization of 3D curves, Frenet frame
• Characterization of surface geometry, fundamental forms
• Map projections: metric properties, classification of projections
• Spherical harmonics: applications, properties - calculation

Course registration

Begin End Deregistration end
30.08.2022 13:00 06.11.2022 12:00

Curricula

Study CodeSemesterPrecon.Info
033 221 Geodesy and Geoinformation 3. Semester

Literature

Lecture notes for this course are sold via TU Verlag. The lecture material will be provided via TUWEL course.

Previous knowledge

Alle Pflichtvorlesungen der Mathematik (für Geodäsie), Differential- und Integralrechnung, lineare Algebra

Accompanying courses

Language

German