Course detail

Mathematical Cartography

FAST-HE07Acad. year: 2020/2021

Reference plane and coordinate systems. Classification of cartography projection. Cartography distortion. Ellipsoid projection on sphere. Basic projection. Cassini-Soldner projection, S-JTSK, S-42. False projection. Choosing projection. Transformation between coordinate systems. General cartography projection theory.


Institute of Geodesy (GED)

Learning outcomes of the course unit

The student understands cartography projection classification, cartography distortion and its importance for surveying practice.


Projections used in surveying. Matthematics: derivate, single integral.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Švec M.: Matematická kartografie - Referenční plochy. elektronický text, 2008. (CS)
Švec, M.: Matematická kartografie - Kartografická zkreslení. elektronický text, 2008. (CS)
Švec M.: Matematická kartografie - kartografická zobrazení. elektronický text, 2008. (CS)
Švec M.: Matematická kartografie - Nepravá zobrazení. elektronický text, 2008. (CS)

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction


Work placements

Not applicable.

Course curriculum

1.Reference plane and coordinate systems.
2.Orthodroma and loxodroma.
3.Classification of cartography projection.
4. Cartography distortion.
5.Ellipsoid projection on sphere.
6.Basic projection, conic, cylidrical.
7.Basic projection azimuthal, geometric projections.
8.Cassini-Soldner projection, S-JTSK.
9.S-42. False projection.
10.Design projection. Transformation between coordinate systems.


Understanding of cartography projection classification .
Cartography distortion, importance for surveying practice.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Classification of course in study plans

  • Programme N-P-C-GK Master's

    branch GD , 2. year of study, summer semester, 4 credits, compulsory

Type of course unit



26 hours, optionally

Teacher / Lecturer


26 hours, compulsory

Teacher / Lecturer