Examination subjects
First degree studies
Field of Study: Geodesy and Cartography
Specialization: Surveying Engineering


1. Characterize the division of geodetic frameworks and provide principles of their establishment.
2. Discuss simplified procedures for testing tachymeters and levels according to current ISO standards.
3. Discuss the classification and sources of errors in geodetic measurements.
4. Discuss the statistical processing of geodetic measurement results using the least squares method parametrically. Explain the differences between the parametric and conditional methods.
5. Present the national spatial reference system and its application in geodetic and cartographic work.
6. Characterize cartographic projections: Mercator, Gauss-Krüger, quasi-stereographic. Present their applications.
7. Describe the geometric conditions of angle measuring instruments and levels. Characterize errors related to these conditions.
8. Discuss trigonometric height measurements depending on the adopted reference surface.
9. Discuss the process of property division at the owner's request and the required documentation. Include regulations from the Real Estate Management Act.
10. Discuss the issues of boundary reestablishment and property demarcation in relation to current legal regulations.
11. Discuss the principles of position determination and measurement technologies using GNSS systems.
12. Discuss the characteristics of errors in GNSS measurements.
13. Discuss the architecture, purpose, and available services of ASG-EUPOS.
14. Discuss the characteristic features of spatial databases, including geometric data types and spatial indexing methods.
15. Discuss topological relationships for surface objects and provide examples of analyses based on them. What is Egenhofer's intersection matrix - DE9IM?
16. Discuss the purpose and procedure for calibrating metric and non-metric cameras and characterize the results.
17. Characterize the process of designing and measuring a photogrammetric framework.
18. Discuss the aerial triangulation process, elements of mutual orientation of photos, and absolute orientation of the model.
19. Characterize the resolution of remote sensing images.
20. Characterize the ranges of electromagnetic waves used in remote sensing and discuss their applications.
21. Discuss the process of situational and height layout of a selected engineering structure.
22. Characterize post-execution and inventory geodetic measurements.
23. Discuss geodetic measurements of pipeline geometry.
24. Present the statistical methods for processing geodetic measurement results necessary for determining the displacements of engineering structures and evaluating the significance of obtained quantities.
25. Characterize the main stages of the investment process for construction purposes and the surveying tasks performed at these stages.

Issues No. 26-30 for Specific Specializations

Profile: Road and Railway Geodesy


26. Discuss geodetic as-built measurements during road construction.
27. Discuss geodetic measurements during the construction of bridge structures.
28. Present the range of geodetic works in railways according to current industry regulations.
29. Characterize the railway geodetic framework.
30. Discuss geodetic measurements during tunnel construction.

Profile: Urban and Industrial Geodesy


26. Discuss methods of measuring the geometry of slender structures and processing their results.
27. Discuss methods of measuring and attributes of utility network systems.
28. Discuss methods of measuring the geometry of building walls and processing their results.
29. Discuss geodetic work in the construction of tall buildings.
30. Discuss the basic assumptions and computational procedure for identifying the reference base in geodetic displacement measurements.

Profile: Low-Altitude Photogrammetry


26. List types of unmanned aerial platforms used in low altitude photogrammetry. Characterize their advantages, disadvantages, and applications.
27. Discuss the primary threats that can affect the safety of low altitude photogrammetric flights and how to counteract these threats.
28. Discuss types of flight plans used in low altitude photogrammetry, their purposes, and basic parameters.
29. Discuss preparatory work for the technological cycle of low altitude photogrammetric processing.
30. Discuss the process of creating a photogrammetric product in selected software.

Examination subjects
Second-degree studies
Field of Study: Geodesy and Cartography

Mandatory Course: Photogrammetry and Remote Sensing

1. Planning flight missions for acquiring photogrammetric images.
2. Planning flight missions for aerial laser scanning.
3. Field measurements for photogrammetric control points or reference data for LiDAR block adjustment.
4. LiDAR block adjustment with reference data on a point cloud and height classification.
5. Analysis (photointerpretation) and processing (calibration) of aerial images.
6. Analysis (photointerpretation) and processing (calibration) of satellite images.
7. Digital Elevation Model (DEM) generation using photogrammetric methods.
8. DEM generation from measurement data obtained through laser scanning.
9. Orthophotomap production, including orthorectification of aerial images or satellite images, orthoimage mosaicking, and sheet/module division.
10. Geodetic photogrammetric measurement for updating topographic object databases or creating maps at scales 1:500–1:5,000.
11. Generating a 3D model of urban structures based on aerial images, satellite images, or a point cloud from aerial laser scanning.
12. Quality control of orthophotomaps or DEMs, or 3D model control.
13. Stereogram generation using stereodigitization.
14. Multispectral image classification and georeferencing.
15. The impact of atmospheric factors on photogrammetric measurements.

Elective Course I: Geomatics


1. List and characterize the fundamental problem solved by physical geodesy.
2. Characterize the potential of a mass as a Newtonian integral.
3. Characterize Poisson's equation and Laplace's equation as applied to the potential of a mass.
4. State Dirichlet boundary conditions and their solutions for a sphere.
5. Dynamic, orthometric, and normal heights.
6. Gravity anomalies.
7. The main idea behind gravitational wave measurements.
8. Characterize the sources of gravitational waves.
9. Laser interferometer – principle of operation.
10. Is it possible to measure a gravitational wave using a gravimeter?
11. What does VLBI stand for?
12. How does the VLBI network work?
13. What is the main goal of geodetic VLBI?
14. What is the main goal of astronomical VLBI?
15. What does the center of mass of the Earth refer to?

Elective Course II: Geoinformatics


1. Initial and detailed specification of a geoinformatics project.
2. Feasibility study of a geoinformatics project.
3. Potential in GIS software development.
4. Principles, themes, and processes of PRINCE2.
5. Duties and competencies of a Project Manager according to PRINCE2.
6. Definition, purpose, and division of metadata.
7. Algorithms for optimal paths – vector and raster.
8. 3D GIS – levels of detail and stages of 3D map creation.
9. Designing a geodatabase in a geoinformatics system.
10. Triangulation method in constructing a Digital Elevation Model.
11. Geostatistics.
12. Systems for bathymetric measurements.
13. Calibration of hydrographic devices.
14. Principles of planning measurement profiles in bathymetric surveys in confined water bodies.
15. Sonar-based seabed surveys – 100%, 200%, and 400% coverage.