230-0441/02 – Descriptive Geometry (DG)

Gurantor departmentDepartment of MathematicsCredits5
Subject guarantorMgr. Dagmar Dlouhá, Ph.D.Subject version guarantorMgr. Dagmar Dlouhá, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year2Semestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DLO44 Mgr. Dagmar Dlouhá, Ph.D.
VOL18 RNDr. Jana Volná, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit and Examination 17+0

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

Lectures
Individual consultations
Tutorials
Other activities

Summary

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.

Compulsory literature:

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.

Recommended literature:

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.

Way of continuous check of knowledge in the course of semester

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.

E-learning

Other requirements

Other requirements for students are placed.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30 3
                Písemná zkouška Written examination 60  25
                Ústní zkouška Oral examination 20  5
Mandatory attendence participation: At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

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Conditions for subject completion and attendance at the exercises within ISP: Mandatory participation in the course is not required. Other conditions for subject completion will respect the individual needs of the student.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0532A330040) Applied Geology K Czech Ostrava 2 Compulsory study plan
2024/2025 (B0724A290001) Mining of Mineral Resources K Czech Most 2 Compulsory study plan
2024/2025 (B0724A290001) Mining of Mineral Resources K Czech Ostrava 2 Compulsory study plan
2024/2025 (B0724A290004) Petroleum Engineering K Czech Ostrava 2 Compulsory study plan
2024/2025 (B0724A290006) Process Engineering in Raw Materials K Czech Most 1 Compulsory study plan
2024/2025 (B0724A290006) Process Engineering in Raw Materials K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0532A330040) Applied Geology K Czech Ostrava 2 Compulsory study plan
2023/2024 (B0724A290001) Mining of Mineral Resources K Czech Most 2 Compulsory study plan
2023/2024 (B0724A290001) Mining of Mineral Resources K Czech Ostrava 2 Compulsory study plan
2023/2024 (B0724A290004) Petroleum Engineering K Czech Ostrava 2 Compulsory study plan
2023/2024 (B0724A290006) Process Engineering in Raw Materials K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0724A290006) Process Engineering in Raw Materials K Czech Most 1 Compulsory study plan
2022/2023 (B0724A290001) Mining of Mineral Resources K Czech Ostrava 2 Compulsory study plan
2022/2023 (B0724A290001) Mining of Mineral Resources K Czech Most 2 Compulsory study plan
2022/2023 (B0724A290004) Petroleum Engineering K Czech Ostrava 2 Compulsory study plan
2022/2023 (B0724A290006) Process Engineering in Raw Materials K Czech Most 1 Compulsory study plan
2022/2023 (B0724A290006) Process Engineering in Raw Materials K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0532A330040) Applied Geology K Czech Ostrava 2 Compulsory study plan
2022/2023 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 2 Compulsory study plan
2022/2023 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 2 Compulsory study plan
2021/2022 (B0724A290004) Petroleum Engineering K Czech Ostrava 2 Compulsory study plan
2021/2022 (B0724A290001) Mining of Mineral Resources K Czech Most 2 Compulsory study plan
2021/2022 (B0724A290001) Mining of Mineral Resources K Czech Ostrava 2 Compulsory study plan
2021/2022 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 2 Compulsory study plan
2021/2022 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 2 Compulsory study plan
2021/2022 (B1316) Geodesy, Cartography and Geoinformatics (3646R006) Geoinformatics K Czech Ostrava 2 Choice-compulsory study plan
2021/2022 (B0724A290006) Process Engineering in Raw Materials K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0724A290006) Process Engineering in Raw Materials K Czech Most 1 Compulsory study plan
2020/2021 (B1316) Geodesy, Cartography and Geoinformatics (3646R006) Geoinformatics K Czech Ostrava 2 Choice-compulsory study plan
2020/2021 (B0724A290001) Mining of Mineral Resources K Czech Ostrava 2 Compulsory study plan
2020/2021 (B0724A290001) Mining of Mineral Resources K Czech Most 2 Compulsory study plan
2020/2021 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 2 Compulsory study plan
2020/2021 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 2 Compulsory study plan
2020/2021 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 2 Compulsory study plan
2020/2021 (B0724A290004) Petroleum Engineering K Czech Ostrava 2 Compulsory study plan
2019/2020 (B2111) Mining (2101R014) Blasting Operations in Mining Engineering K Czech Ostrava 2 Compulsory study plan
2019/2020 (B1316) Geodesy, Cartography and Geoinformatics (3646R006) Geoinformatics K Czech Ostrava 2 Choice-compulsory study plan
2019/2020 (B2111) Mining (2101R013) Mining of Mineral Resources and Their Utilization K Czech Ostrava 2 Compulsory study plan
2019/2020 (B2111) Mining (2101R013) Mining of Mineral Resources and Their Utilization K Czech Most 2 Compulsory study plan
2019/2020 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 2 Compulsory study plan
2019/2020 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 2 Compulsory study plan
2019/2020 (B0724A290001) Mining of Mineral Resources K Czech Ostrava 2 Compulsory study plan
2019/2020 (B0724A290001) Mining of Mineral Resources K Czech Most 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2022/2023 Summer
2021/2022 Summer
2020/2021 Summer
2019/2020 Summer