Course: Mathematical and Physical Geodesy

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Course title Mathematical and Physical Geodesy
Course code KGM/MFG
Organizational form of instruction Lecture + Seminar
Level of course Bachelor
Year of study not specified
Semester Winter and summer
Number of ECTS credits 5
Language of instruction Czech
Status of course Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Novák Pavel, Prof. Ing. PhD
  • Pitoňák Martin, Doc. Ing. PhD.
  • Šprlák Michal, Doc. Ing. PhD.
Course content
Brief history and structure of geodesy, its links to other scientific disciplines. International Association of Geodesy and its structure. Mathematics in geodesy. Geodetic coordinate systems and their realization. Methods of geodetic positioning. Methods and instrumentation of space and satellite geodesy. Earth's gravity field and rotation. Newton's gravitational laws. Intensity and potential of the gravitational field. Equipotential surfaces, geoid, quasigeoid and telluroid. Physical heights. Gravity effects on geodetic observations. Temporal variations of the gravitational field. Normal gravity field. Anomalous and disturbing gravity parameters. Determination of gravity field parameters from gravity observations. Poisson's and Laplace's differential equations. Green's equations and integrals. Boundary and initial-value problems of the potential theory and their solution. Harmonic functions and their representation. Ground and airborne gravimetry. Relative and absolute gravity observations. Gravity networks, maps and databases. Forward modeling. Terrain reductions and theory of isostasy. Spectral methods in gravity field description. Satellite methods of gravity field mapping.

Learning activities and teaching methods
Laboratory work, Self-study of literature, Textual studies, Lecture, Practicum
  • Contact hours - 26 hours per semester
  • Practical training (number of hours) - 26 hours per semester
  • Preparation for formative assessments (2-20) - 10 hours per semester
  • Preparation for comprehensive test (10-40) - 20 hours per semester
  • Preparation for an examination (30-60) - 40 hours per semester
  • Preparation for laboratory testing; outcome analysis (1-8) - 8 hours per semester
prerequisite
Knowledge
to explain fundamentals of land surveying
to explain fundamentals of the adjustment calculus
to explain fundamentals of the mathematical analysis
to explain fundamentals of algebra
to explain fundamentals of goniometry
Skills
to derive an uncertainty of observable
programming at the beginner level
to make a plot or a map
to interpret results and their uncertainties
Competences
N/A
N/A
learning outcomes
Knowledge
to resolve among data processing methods and apply them
critically assess the results of processing
Skills
to practically process observables in geodesy
to practically realise the variance-covariance law
Competences
N/A
N/A
teaching methods
Knowledge
Lecture
Practicum
Task-based study method
Skills
Practicum
Task-based study method
Competences
Lecture
Practicum
Task-based study method
assessment methods
Knowledge
Oral exam
Written exam
Combined exam
Test
Skills
Oral exam
Written exam
Combined exam
Test
Competences
Oral exam
Written exam
Combined exam
Test
Recommended literature
  • K-R. Koch. Parameter estimation and hypothesis testing in linear models. Springer, Berlin, 1999. ISBN 3-540-65257-4.
  • M. Hampacher, M. Štroner. Zpracování a analýza měření v inženýrské geodázii. ČVUT, Praha, 2011. ISBN 978-80-01-04900-6.
  • P. J. G. Teunissen. Adjustment Theory: an introduction. VSSD, 2000. ISBN 978-9040719745.
  • P. J. G. Teunissen. Network Quality Control. VSSD, 2009. ISBN 978-9071301988.
  • P. J. G. Teunissen. Testing Theory: an introduction. VSSD, 2009. ISBN 978-9040719745.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Economics Study plan (Version): Economic and Regional Geography (2017) Category: Geography courses 3 Recommended year of study:3, Recommended semester: Winter