PřF:Z8106 Mathematical cartography - Course Information
Z8106 Mathematical cartography
Faculty of ScienceSpring 2025
- Extent and Intensity
- 2/1. 5 credit(s). Type of Completion: zk (examination).
In-person direct teaching - Teacher(s)
- Mgr. Radim Štampach, Ph.D. (lecturer)
- Guaranteed by
- Mgr. Radim Štampach, Ph.D.
Department of Geography – Earth Sciences Section – Faculty of Science
Contact Person: Mgr. Radim Štampach, Ph.D.
Supplier department: Department of Geography – Earth Sciences Section – Faculty of Science - Timetable
- Mon 17. 2. to Sat 24. 5. Wed 10:00–11:50 Z2,01032
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- Z2062 Cartography || Z0062 Cartography and Geoinformatics || Z2062p Cartography
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physical Geography (programme PřF, B-GEK)
- Geographical Cartography and Geoinformatics (programme PřF, B-GEK)
- Geographical Cartography and Geoinformatics (programme PřF, B-GK)
- Geoinformatics and Regional Development (programme PřF, B-GEK)
- Geoinformatics and Sustainable Development (programme PřF, B-GEK)
- Social Geography (programme PřF, B-GEK)
- Course objectives
- The aim of the course is to present to students the importance of mathematical geometric bases of terrain models and the role of mathematical cartography in their creation, theory of map projections and map projections used in state co-ordinate systems and general geographical maps.
- Learning outcomes
- After this course, students will understand the issue of map projections. They will know which projection fit to different purposes and they will learn how to create a map projection according to the defined conditions. They will understand the meaning of the numbers and coefficients that they normally set in GIS programs in seconds without thinking about them.
- Syllabus
- 1. Mathematical basis of terrain models. Tasks of mathematical cartography in creating a mathematical-geometric basis of terrain models. Overview of coordinate systems on reference surfaces and in the display plane.
- 2. The concept and characteristics of distortion. The concept of distortion, its types, practical consequences for the display of objects and phenomena, and the relationship between distortion and map scale.
- 3. Longitudinal distortion, extreme longitudinal distortion. Concept, basic relations, the course of distortion, and importance for map evaluation.
- 4. Angular and area distortion. Concept, basic relations, the course of distortion, and importance for map evaluation.
- 5. Projection of a reference ellipsoid on a sphere. Basic characteristics, their properties, formulas, and main areas of their application.
- 6. Simple cylindrical projections. Basic characteristics, their properties, formulas, and main areas of their application.
- 7. Simple conical projections. Basic characteristics, their properties, formulas, and main areas of their use.
- 8. Simple azimuthal projections. Basic characteristics, their properties, formulas, and main areas of their use.
- 9. False and general projections. Basic characteristics, their properties, formulas, and main areas of their use.
- 10. Gaussian projection. Basic characteristics of projections, use of projections in S-1942/83 and WGS84.
- 11. Křovák projection in S-JTSK. Basic characteristics of projections, use of projections in the state administration of the Czech Republic.
- 12. Transformation between projections. Principle, methods, practical solutions.
- 13. Application of projections in GIS tools.
- Literature
- SRNKA, Erhart. Matematická kartografie. Vydání: první. Brno: Vojenská akademie Antonína Zápotockého, 1986, 302 stran. info
- [12] Základy matematická kartografie, studijní texty, ISBN: 978-80-7231-297-9, 157 s., 122 obrázků, Vydavatelská skupina UO Brno 2007, http://user.unob.cz/talhofer/
- Teaching methods
- Lectures and practical exercises. Project preparation - map displays for a given area. Exam in the form of a test. In case of failure, a remedial term in the form of an oral examination.
- Assessment methods
- The exam takes the form of a written test or an oral exam. The results of the exercise are taken into account.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/sci/spring2025/Z8106