342-3366/01 – Fundamentals of Applied Geometry (ZAG)
| Gurantor department | Institute of Transport | Credits | 2 |
| Subject guarantor | doc. Ing. Dušan Teichmann, Ph.D. | Subject version guarantor | doc. Ing. Dušan Teichmann, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2021/2022 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The aim of the course is to acquaint students with the elementary mathematical methods applicable to air transport calculations (especially in air navigation).
Teaching methods
Lectures
Summary
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.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Exam: written part (two examples) and oral part (two teoretical questions)
E-learning
lms.vsb.cz
Other requirements
Other requiremets are not defined.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction