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.

2019W, VO, 2.0h, 2.5EC

Properties

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

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

Illustration of the techniques with Power Point slides, calculation of practical examples, demonstrations with MATLAB.

Mode of examination

Oral

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Thu09:00 - 10:3017.10.2019 - 30.01.2020Sem.R. DA grün 02 A Mathematische Methoden VO
Mathematical Methods of Geosciences - Single appointments
DayDateTimeLocationDescription
Thu17.10.201909:00 - 10:30Sem.R. DA grün 02 A Interpolation
Thu24.10.201909:00 - 10:30Sem.R. DA grün 02 A Approximation
Thu31.10.201909:00 - 10:30Sem.R. DA grün 02 A Termin abgesagt
Thu07.11.201909:00 - 10:30Sem.R. DA grün 02 A Fourier-Transformation, Faltung, DFT
Thu14.11.201909:00 - 10:30Sem.R. DA grün 02 A DFT, Wavelet-Theorie
Thu21.11.201909:00 - 10:30Sem.R. DA grün 02 A Termin abgesagt
Thu28.11.201909:00 - 10:30Sem.R. DA grün 02 A Numerische Integration, Kugelfunktionen
Thu05.12.201909:00 - 10:30Sem.R. DA grün 02 A Termin abgesagt
Thu12.12.201909:00 - 10:30Sem.R. DA grün 02 A Mathematische Methoden VO
Thu09.01.202009:00 - 10:30Sem.R. DA grün 02 A Mathematische Methoden VO
Thu16.01.202009:00 - 10:30Sem.R. DA grün 02 A Mathematische Methoden VO
Thu23.01.202009:00 - 10:30Sem.R. DA grün 02 A Mathematische Methoden VO
Thu30.01.202009:00 - 10:30Sem.R. DA grün 02 A Mathematische Methoden VO

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
• Tensor calculus: relevance, basic terms

Course registration

Begin End Deregistration end
08.10.2019 13:00 29.11.2019 12:00

Curricula

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

Literature

Lecture notes for this course are available and are sold via TU Verlag. The slides will be uploaded in TISS.

Previous knowledge

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

Accompanying courses

Language

German