Gurantor department | Department of Mathematics | Credits | 5 |

Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | Mgr. Dagmar Dlouhá, Ph.D. |

Study level | undergraduate or graduate | Requirement | Choice-compulsory |

Year | 2 | Semester | summer |

Study language | Czech | ||

Year of introduction | 2019/2020 | Year of cancellation | |

Intended for the faculties | HGF | Intended for study types | Bachelor |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

DLO44 | Mgr. Dagmar Dlouhá, Ph.D. | ||

VOL18 | RNDr. Jana Volná, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

• 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

Lectures

Individual consultations

Tutorials

Other activities

Descriptive geometry is a practical discipline which tries to improve development of space and creative abalities and logical thinking. First it shows commonly used types of projection methods. At the socond part the geometric characteristics of relevant curves and surfaces folows.

Vavříková,E.:Descriptive Geometry,VŠB – TU,Ostrava 2005, ISBN 80-248-1006-9.
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf
Černý, J.: Geometry. Praha: Vydavatelství ČVUT, 1996. ISBN 80-01-01535-1.
Stillwell, J.: Geometry of surfaces. New York: Springer, 1992. ISBN 0-387-97743-0.

Kreyszig, E.: Differential geometry. New York: Dover Publications, 1991. ISBN 0-486-66721-9.
Kobayashi, S.: Transformation groups in differential geometry. Berlin: Springer, 1972. Classics in mathematics. ISBN 3-540-05848-6.
Umehara, M. and Yamada, K.: Differential geometry of curves and surfaces. Kaiteiban. Translate Rossman, W.. Singapore: World Scientific, 2017. ISBN 978-981-4740-23-4.
Falconer, K. J. Fractal geometry: mathematical foundations and applications. 3rd ed. Chichester: Wiley, 2014. ISBN 978-1-119-94239-9.

Conditions for obtaining the course-unit credit: participation in exercises, 30% of absences can be excused, submission of programs assigned by the supervisor in the prescribed course. The student will get 0-20 b for fulfilling the conditions. (The student who gets the credit will be evaluated 5 - 20 b).
The condition for participation in the exam is a written credit from the relevant course. The exam consists of a written and an oral part. Students must pass both parts of the exam and achieve the necessary number of points.

Other requirements for students are placed.

Subject has no prerequisities.

Subject has no co-requisities.

1. Improper elements. Conics - basic concepts and focal properties.
2. Construction of ellipse, hyperbola and parabola from given elements.
3. The basic properties of projection. Parallel projection.
4. Central collineations and axial affinity in plane.
5. Projection with dimensions - view of point, line and plane.
6. Projection with dimensions - position tasks.
7. Projection with dimensions - metric problems.
8. Affine relationship between circle and ellipse. Projection of a circle in the projection with dimensions.
9. Orthogonal axonometry. Position tasks.
10. Metric problems and the projection of a circle in coordinate planes.
11. Elementary surfaces and solids. Basic concepts and properties.
12. Planar cut. Intersections with a line. Tangent plane.
13. Topographical surfaces.
14. Reserve.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Credit and Examination | Credit and Examination | 100 (100) | 51 |

Credit | Credit | 20 | 5 |

Examination | Examination | 80 (80) | 30 |

Písemná zkouška | Written examination | 60 | 25 |

Ústní zkouška | Oral examination | 20 | 5 |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2020/2021 | (B0724A290001) Mining of Mineral Resources | P | Czech | Ostrava | 2 | Compulsory | study plan | |||||

2020/2021 | (B3646) Geodesy and Cartography | (3646R007) Engineering Geodesy | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2020/2021 | (B3646) Geodesy and Cartography | (3646R007) Engineering Geodesy | P | Czech | Most | 2 | Compulsory | study plan | ||||

2020/2021 | (B1316) Geodesy, Cartography and Geoinformatics | (3646R006) Geoinformatics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2020/2021 | (B3646) Geodesy and Cartography | (3646R001) Mining Surveying | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2020/2021 | (B0724A290006) Process Engineering in Raw Materials | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0724A290004) Petroleum Engineering | P | Czech | Ostrava | 2 | Compulsory | study plan | |||||

2019/2020 | (B3646) Geodesy and Cartography | (3646R001) Mining Surveying | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2019/2020 | (B2111) Mining | (2101R014) Blasting Operations in Mining Engineering | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2019/2020 | (B1316) Geodesy, Cartography and Geoinformatics | (3646R006) Geoinformatics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2019/2020 | (B0724A290001) Mining of Mineral Resources | P | Czech | Ostrava | 2 | Compulsory | study plan | |||||

2019/2020 | (B2111) Mining | (2101R013) Mining of Mineral Resources and Their Utilization | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2019/2020 | (B3646) Geodesy and Cartography | (3646R007) Engineering Geodesy | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2019/2020 | (B3646) Geodesy and Cartography | (3646R007) Engineering Geodesy | P | Czech | Most | 2 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (2102R013) Processing of Raw Materials and Recycling | P | Czech | Ostrava | 2 | Compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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