Lecturer(s)


Červený Pavel, Mgr.

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 supplemented with a discussion, Lecture with practical applications, Discussion, Multimedia supported teaching, OnetoOne tutorial, Group discussion, Students' selfstudy, Selfstudy of literature, Lecture, Lecture with visual aids, Seminar
 Practical training (number of hours)
 13 hours per semester
 Preparation for formative assessments (220)
 9 hours per semester
 Preparation for an examination (3060)
 30 hours per semester
 Contact hours
 26 hours per semester

prerequisite 

professional knowledge 

To pass this course students are expected to have fundamental knowledge in mathematicalgeographic 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. They grasp consequences of movements of the Earth on human life, so that they are able to present concrete examples. They are able to orient on the celestial sphere and express the position of objects on it through astronomical coordinates. Students are able to solve mathematically the concrete situation on the celestial sphere as a result of apparent motion of space bodies. They realize the importance of mathematical geography for the study of the other naturalscience subjects. 
teaching methods 

Lecture 
Lecture with visual aids 
Lecture supplemented with a discussion 
Interactive lecture 
Seminar 
Multimedia supported teaching 
Group discussion 
Students' selfstudy 
Selfstudy of literature 
OnetoOne tutorial 
Lecture with practical applications 
Discussion 
assessment methods 

Written exam 
Test 
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 8070666986.

Červený, Pavel. Matematická geografie v otázkách a odpovědích. 2. upr. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 8070432802.

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 8070431504 .

Široký, V. Základy astronomie v příkladech. 2. vyd. SPN Praha, 1985.
