| Course Unit Code | 342-3366/01 |
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| Number of ECTS Credits Allocated | 2 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| TEI72 | doc. Ing. Dušan Teichmann, Ph.D. |
| Summary |
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| The course summarizes and creates the elementary theoretical prerequisites for understanding the issues of specialized subjects focused on air navigation. Each lectured theoretical issue will be accompanied by the solution of type examples related to aviation applications. |
| Learning Outcomes of the Course Unit |
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| The aim of the course is to acquaint students with the elementary mathematical methods applicable to air transport calculations (especially in air navigation). |
| Course Contents |
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1. Repetition of knowledge of plane trigonometry - basic concepts, derivation of basic relations in conditions of plane trigonometry.
2. Basics of spherical trigonometry - basic concepts, properties of spherical triangle, derivation of basic relations in conditions of spherical trigonometry.
3. Position lines - derivation of basic mathematical relations for orthodrome.
4. Positional lines - derivation of basic mathematical relations for rhumb line (loxodrome).
5. Position lines - derivation of basic relations for the curve of the same orientations and the same distances.
6. Position lines - derivation of basic relations for the curve of equal differences and sums of distances.
7. Map projection - classification of cartographic projections.
8. Distortion of cartographic projections.
9. Azimuthal projection.
10. Conical projections.
11. Polyconical representations.
12. Cylindrical projections - perspective cylindrical projections.
13. Cylindrical projections - unpromising cylindrical projections.
14. Grid angles. |
| Recommended or Required Reading |
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| Required Reading: |
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| PEARSON, F.: Map Projections: Theory and Applications. London: Taylor & Francis, 2020. ISBN 978-02-037-4812-1 |
BUCHAR, P.: Matematická kartografie. Praha: ČVUT v Praze, 2007. ISBN 978-80-010-3765-2
KRTIČKA, L.: Úvod do kartografie. Ostrava: Ostravská univerzita, 2007. ISBN 978-80-7368-344-3
LAUERMANN, L.; SVATOŇOVÁ, H.: Základy matematické kartografie. Brno: Masarykova univerzita, 2015. 978-80-210-7942-7
PEARSON, F.: Map Projections: Theory and Applications. London: Taylor & Francis, 2020. ISBN 978-02-037-4812
|
| Recommended Reading: |
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| BUGAYEVSKIY, L., M.; SNYDER, J.: Map Projections. London: Taylor & Francis, 1997. ISBN 978-04-291-5984-8 |
ČECHURA, F.: Důlní měřičství. Praha, SNTL, 1956. ISBN nemá.
HANZL, Vlastimil. Matematická kartografie. Brno: VUT, 1997. ISBN 80-214-0633-X
PŘIBYL, K.; KEVICKÝ, D.: Letecká navigace. Praha: Nakladatelství dopravy a spojů, 1980. ISBN nemá
BUGAYEVSKIY, L., M.; SNYDER, J.: Map Projections. London: Taylor & Francis, 1997. ISBN 978-04-291-5984-8 |
| Planned learning activities and teaching methods |
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| Lectures |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Examination | Examination | 100 | 51 |