Z8106 Mathematical cartography

Faculty of Science
Spring 2026
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 16. 2. to Fri 22. 5. Tue 16:00–17:50 Z4,02028
  • Timetable of Seminar Groups:
Z8106/01: Mon 16. 2. to Fri 22. 5. Tue 18:00–18:50 Z4,02028, R. Štampach
Prerequisites
Z2062 Cartography || Z0062 Cartography and Geoinformatics || Z2062p Cartography
The student must be familiar with the state maps of the Czech Republic - civil and military. He must be able to perform mathematical calculations at the high school level.
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
there are 6 fields of study the course is directly associated with, display
Abstract
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.
Key topics
  • 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.
Study resources and literature
    required literature
  • TALHOFER, Václav. Základy matematické kartografie : (skripta). Vyd. 1. Brno: Univerzita obrany, 2007, 156 s. ISBN 9788072312979. info
    not specified
  • MIKLÍN, Jan; Radek DUŠEK; Luděk KRTIČKA and Oto KALÁB. Tvorba map. Vydání první, verze 1.0. Ostrava: Ostravská univerzita, Přírodovědecká fakulta, 2018, 299 stran. ISBN 9788075990174. info
Approaches, practices, and methods used in teaching
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.
Method of verifying learning outcomes and course completion requirements
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
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (recent)
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