Z8106 Mathematical cartography

Faculty of Science
Spring 2020
Extent and Intensity
2/1. 5 credit(s). Type of Completion: zk (examination).
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
Wed 9:00–10:50 Z2,01032
  • Timetable of Seminar Groups:
Z8106/01: Wed 11:00–11:50 Z2,01032, R. Štampach
Z2062 Cartography || Z0062 Cartography and Geoinformatics || Z2062p Cartography
The subject assumes knowledge of mathematics at the level of completed secondary school studies. The knowledge of the basics of cartography, creation of maps and, above all, a good knowledge of the state map series in the Czech Republic is expected.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.

The capacity limit for the course is 20 student(s).
Current registration and enrolment status: enrolled: 14/20, only registered: 0/20
fields of study / plans the course is directly associated with
there are 6 fields of study the course is directly associated with, display
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.
  • 1. Main characteristics of projection, their consequence for maps and digital spatial data
  • 2. Distorsion types, distorsion and map content realtionship, scale factor
  • 3. Line distorsion, extrems, evaluation
  • 4. Angular and areal distorsins
  • 5. Spheroid to sphere projection, main properties, using
  • 6. Cylindrical projection, main properties, using
  • 7. Conical projection, main properties, using
  • 8. Azimuthal (Planar) projection, main properties, using
  • 9. Projections of hemisphere and planisphere
  • 10. Gaussian and UTM projection, properties, using
  • 11. Lambert conformal conic projection, main properties, using. Krovak modification.
  • 12. Projections transformations
  • 13. GIS tools of projections and their using for maps and digital spatial data creation
  • SRNKA, Erhart. Matematická kartografie [Srnka, 1986]. 1. vyd. Brno: Vojenská akademie, 1986. 302 s. 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 with calculation and processing of map representation for a given territory. Field exercises may also be part of the exercise.
Assessment methods
Conditions for access to the exam:
During the semester, students must pass 4-5 practical exercises.
Examination in case of standard full-time education:
Final written test or oral exam.
Exam in the case of distance education:
Final written test in the form of electronic test, or oral exam in the form of videoconference.
Language of instruction
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 2021.
  • Enrolment Statistics (Spring 2020, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2020/Z8106