230-0232/01 – Repetition of Descriptive Geometry (Repet DG)
Gurantor department | Department of Mathematics | Credits | 1 |
Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | Mgr. Dagmar Dlouhá, Ph.D. |
Study level | undergraduate or graduate | Requirement | Optional |
Year | 1 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2019/2020 | Year of cancellation | |
Intended for the faculties | FAST | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
• to train development of space abilities
• to handle by different types of projection methods, to understand to their principles, to be familiar with their properties, advantages and disadvantages
• to acquaint with geometric characteristics of curves and surfaces that are used in technical practice of a given specialization
Teaching methods
Tutorials
Summary
Repetitorium z deskriptivní geometrie je určeno studentům, kteří z jakýchkoliv důvodů neuspěli u zkoušky z předmětu Deskriptivní geometrie a mají zájem o úspěšné vykonání této zkoušky. Jeho obsah se v podstatě kryje s osnovami tohoto předmětu. Cílem repetitoria je umožnit pochopení učiva deskriptivní geometrie řešením konkrétních příkladů. Repetitorium bude zaměřeno zejména na praktickou část zkoušky, BUDOU ŘEŠENY ÚLOHY ODPOVÍDAJÍCÍ PÍSEMNÉ ČÁSTI ZKOUŠKY.
Compulsory literature:
Recommended literature:
Ryan, D. L.: CAD/CAE Descriptive Geometry. CRC Press 1992.
Pare, Loving, Hill: Deskriptive geometry, London, 1965.
http://mdg.vsb.cz/portal/
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
There are no additional requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Parallel projection. Improper objects. Axial affinity in plane.
2. Monge projection: representation of point, line and plane, the basic position problems.
3. Monge projection: the basic metric problems, displaying of circle.
4. Orthogonal axonometry: principles and representation of point, line and plane, the basic position problems.
5. Orthogonal axonometry: object in coordinate or parallel plane, notch method.
6. Curves - the creation, distribution, movement frame. Circular helix.
7. Surfaces: describing, classification, tangent plane and normal.
8. Screw surfaces - ruled, cyclical.
9. Surfaces of revolution. Second degree surfaces of revolution.
10. Ruled surfaces. Developable and skew ruled surfaces.
11. One-sheet hyperboloid of rotation.
12. Hyperbolic paraboloid. Conoids.
13. Other surfaces suitable for civil engineering.
14. Reserve.
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction