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Lecturer(s)
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Osman Zdeněk, Ing. Ph.D.
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Janota Jiří, Ing. Ph.D.
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Mrkývka Martina, doc.Ing.Mgr. Ph.D.
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Course content
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1. Introduction to mathematical cartography. 2. Reference surface - sphere. Elements of spherical trigonometry. 3. Coordinate systems used in geodesy and cartography. 4. Theory of cartographic distortions. Tissot indicatrix construction. 5. Principles of map projection equations derivation. 6. Ellipsoid onto sphere projections. Gauss conformal ellipsoid onto sphere projection a its applications in ČSR. 7. Map projections used in ČSR and ČR (Křovák projection, Cassini-Soldner projection, Gauss-Krüger projection, Sanson-Flamsteed projection, UTM). 8. Global coordinate systems and their properties. 9. Possible ways of coordinate reference systems transformations and their accuracy. 10.EPSG - database of transformation parameters.
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Learning activities and teaching methods
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Cooperative instruction, Project-based instruction, Lecture with visual aids, Practicum
- Contact hours
- 52 hours per semester
- Preparation for laboratory testing; outcome analysis (1-8)
- 5 hours per semester
- Preparation for an examination (30-60)
- 30 hours per semester
- Undergraduate study programme term essay (20-40)
- 20 hours per semester
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| prerequisite |
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| Knowledge |
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| No particular prerequisites specified. |
| learning outcomes |
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| Student get summary of important chapters of mathematical cartography above all about basic questions of cartographic deformations and map projections theory. Furthermore get knowledge in coordinate reference systems transformations and spherical trigonometry. |
| Skills |
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| make calculations on a sphere |
| use application software for cartographic calculations |
| determine the position using commonly used coordinate systems |
| Competences |
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| N/A |
| N/A |
| teaching methods |
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| Knowledge |
|---|
| Lecture with visual aids |
| Practicum |
| Project-based instruction |
| Cooperative instruction |
| Skills |
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| Practicum |
| Individual study |
| Task-based study method |
| Competences |
|---|
| Practicum |
| Individual study |
| Task-based study method |
| assessment methods |
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| Knowledge |
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| Oral exam |
| Written exam |
| Skills demonstration during practicum |
| Seminar work |
| Skills |
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| Combined exam |
| Skills demonstration during practicum |
| Seminar work |
| Competences |
|---|
| Combined exam |
| Seminar work |
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Recommended literature
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Buchar P. Matematická kartografie 10. ČVUT Praha, 2002.
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Cimbálník, M., Mervart L. Vyšší geodézie 1. ČVUT Praha, 1997. ISBN 80-01-02527-6.
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Hojovec, Vladimír. Kartografie : Celost. vysokošk. učebnice pro stavební fak.. 1. vyd. Praha : Geodetický a kartografický podnik, 1987.
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Pyšek, Jiří. Matematická kartografie : Třída jednoduchých zobrazení. 1. vyd. Plzeň : Pedagogická fakulta Západočeské univerzity, 1995. ISBN 80-7043-165-2.
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Široký, Jaromír. Základy astronomie v příkladech. Praha : Státní pedagogické nakladatelství, 1977.
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