Course: Mathematical Cartography 1

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Course title Mathematical Cartography 1
Course code KGM/MK1
Organizational form of instruction Lecture + Seminar
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Čerba Otakar, doc.Ing.Mgr. Ph.D.
  • Ježek Jan, Ing. Ph.D.
  • Fiala Radek, Ing. Ph.D.
Course content
History of cartography, form and size of the Earth, measurements of the Earth's circumference. Reference surfaces, coordinate systems, length elements of meridian and parallel, geodetic line, orthodrome, rumb line. Map projections and their classification. Tissot indicatrix, principal directions. Map projection deformations (linear, angular, areal). Conic, azimuthal and cylindrical projections and their projection equations derivation. Křovák projection. Gauss-Krüger projection. Cassini-Soldner projection. Polyedric projections and their used for topographic maps at Austria-Hungary.

Learning activities and teaching methods
Interactive lecture, Lecture supplemented with a discussion, Collaborative instruction, Individual study, Self-study of literature
  • Contact hours - 26 hours per semester
  • Preparation for comprehensive test (10-40) - 5 hours per semester
  • Preparation for an examination (30-60) - 40 hours per semester
  • Undergraduate study programme term essay (20-40) - 8 hours per semester
prerequisite
Knowledge
explain the properties and relationships of trigonometric and cyclometric functions
explain the properties and methods of solving differential equations
Skills
use the Cartesian, polar and geographical coordinate systems
process and present the results of their work using the functions of application software
apply an algorithmic approach to problem solving
Competences
N/A
N/A
N/A
learning outcomes
Knowledge
describe the problems of cartographic distortion
explain the basic theory of cartographic representations
describe the specifics of spherical trigonometry
Skills
provádět výpočty na kouli
use application software for cartographic calculations
determine the position using commonly used coordinate systems
Competences
N/A
N/A
teaching methods
Knowledge
Self-study of literature
Interactive lecture
Lecture supplemented with a discussion
Skills
Practicum
Individual study
Task-based study method
Competences
Practicum
Individual study
Task-based study method
assessment methods
Knowledge
Combined exam
Test
Continuous assessment
Skills
Combined exam
Skills demonstration during practicum
Seminar work
Competences
Combined exam
Seminar work
Recommended literature
  • Buchar P. Matematická kartografie 10. ČVUT Praha, 2002.
  • Hojovec, Vladimír. Kartografie : Celost. vysokošk. učebnice pro stavební fak.. 1. vyd. Praha : Geodetický a kartografický podnik, 1987.
  • Pyšek, Jiří. Kartografie, kartometrie a matematická geografie v příkladech. Vyd. 1. [Plzeň] : Západočeská univerzita, 1995. ISBN 80-7043-157-1.
  • Pyšek, Jiří. Matematická kartografie : Třída jednoduchých zobrazení. 1. vyd. Plzeň : Pedagogická fakulta Západočeské univerzity, 1995. ISBN 80-7043-165-2.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester