Course: Mathematical Geography

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Course title Mathematical Geography
Course code KGE/MAG
Organizational form of instruction Lecture + Seminar
Level of course not specified
Year of study not specified
Semester Winter
Number of ECTS credits 4
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
  • Posová Darina, RNDr. Mgr. Ph.D.
Course content
The lectures consist of: - Introduction to the study of mathematical geography, the shape of the Earth (evidences of the roundness of the Earth, dimensional measuring the Earth, geoid, ellipsoid, reference spheres and their significance), geographical and astronomical coordinates. - The Universe (stars, constellations and star systems, other celestial bodies, distances, parallax, solar system, Kepler´s laws, cosmology, cosmogony). - Astronomical coordinates (the celestial sphere, horizontal and equatorial coordinates, ecliptic and galactic coordinates, determining latitude). - Using of astronomical coordinates (mathematical relations for calculations - spherical trigonometry). - Movements of the Earth and their consequences (Earth´s orbit, Earth´s rotation, rotation around the barycentre, precession, nutation). - Apparent motion of celestial bodies (stars, sun, planets, conjunction, opposition). - Effect of the atmosphere on observations (apparent firmament, refraction, twilight, White night, ...). - The Moon, movements (shape and surface, Moon´s rotation, rotation around barycentre). - Movements of the Moon and their consequences (phases of the Moon, eclipse, tides). - Time and calendar (solar time, equation of time, sundial, time zones, sidereal time, determining longitude, calendars). - Data boundary is changing. - GPS and its usage in geography. The seminars consist of: 1.Introduction to the Study of Mathematical Geography 2.Calculations on the ball (basic calculations on the reference sphere, the length of parallels and meridians, the area limited by horizon, etc) 3.Calculations on the ball (distance between two points on the Earth?s surface) 4.- 10. Spherical trigonometry (the length of bright days, locations and the time of sunrise and sunset, the length of shadows, the length of twilights, angles of impact of the sun rays).

Learning activities and teaching methods
Interactive lecture, Lecture with practical applications, Discussion, Multimedia supported teaching, One-to-One tutorial, Self-study of literature, Seminar
  • Contact hours - 39 hours per semester
  • Preparation for formative assessments (2-20) - 15 hours per semester
  • Preparation for an examination (30-60) - 50 hours per semester
professional knowledge
To pass this course students are expected to have fundamental knowledge in mathematical-geographic issues, particularly in relation to the position of Earth in space and its movement.
learning outcomes
Students: - are able to present fundamental characteristics of the Earth in term of its shape, size, position in space and its movements, - grasp consequences of movements of the Earth on human life, so that they are able to present concrete examples, - are able to orient on the celestial sphere and express the position of objects on it through astronomical coordinates, - are able to solve mathematically the concrete situation on the celestial sphere as a result of apparent motion of space bodies, - realize the importance of mathematical geography for the study of the other natural-science subjects.
teaching methods
Interactive lecture
Multimedia supported teaching
Self-study of literature
One-to-One tutorial
Lecture with practical applications
assessment methods
Written exam
Recommended literature
  • Brázdil, Rudolf. Úvod do studia planety Země : Celost. vysokošk. učebnice pro stud. přírodověd. a pedagog. fakult. 1. vyd. Praha : SPN, 1988.
  • Čapek, Richard. Planetární geografie : Určeno pro posl. přírodovědecké fak. Univ. Karlovy. 1. vyd. Praha : Karolinum, 1992. ISBN 80-7066-698-6.
  • Červený, Pavel. Matematická geografie v otázkách a odpovědích. 2. upr. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-280-2.
  • Madar, Jindřich. Základy matematického zeměpisu : pro vyšší školy pedagogické. 1. vyd. Praha : Státní pedagogické nakladatelství, 1955.
  • Pyšek, Jiří. Kartografie, kartometrie a matematická geografie v příkladech. . Plzeň , 1995. ISBN 80-7043-150-4 .
  • Široký, V. Základy astronomie v příkladech. 2. vyd. SPN Praha, 1985.

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