Course: Descriptive geometry I

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Course title Descriptive geometry I
Course code KMA/DG1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 3
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Hašek Roman, Mgr. Ph.D.
Course content
1. Three-dimensional Euclidean space. Coordinates of a point. Projection. The three basic projections. The use of projections in 3D modeling software. 2. Display of spatial figures. Basic projection methods: Quoted orthographic projection. Monge projection. 3. Overview of basic projection methods: Oblique projection. Axonometry. Free parallel projection. The application of projection methods in 3D software. 4. Reconstruction of the spatial object from the given principal views. Real and virtual 3D models. 5. Quoted orthographic projection. Projection of a line and a plane. Rotation and tipping of a plane. 6. Quoted orthographic projection. Positional and metrical problems. 7. Monge projection. Representation of a point, line and a plane. 8. Monge projection. Positional problems. 9. Monge projection. Positional and metrical problems. 10. Monge projection. Metrical problems. Circle. 11. Polyhedrons and cones. Representation according the given conditions. Computer modeling. 12. Regular polyhedrons. Representation according the given conditions. Computer modeling. 13. Applications. 14. Summary

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Demonstration, Graphic and art activities
Learning outcomes
A student of the subject Descriptive Geometry is first introduced into the basic methods of displaying three-dimensional space (quoted orthographic projection, Monge projection, oblique projection, axonometric and free parallel projection). Particular attention is paid to the principles and applications of the quoted and especially the Monge projection. Then the properties of polyhedra and methods of their displaying are discussed. Suitable geometric software is used during lectures, exercises and the preparation of study materials. The student, future teacher of mathematics at the elementary or secondary school, will acquire knowledge and skills that will enable him to correctly understand and graphically represent the relationship between spatial figures. He or she will acquire the ability to interact with its surroundings on three-dimensional objects and their relationships. Graduates will also have an overview of the possibilities of meaningful use of appropriate programs for the geometric representation of three-dimensional space and visual demonstration of the internal relationships.
A graduate will understand basic terms and learn construction skills from Descriptive geometry within the range of the curriculum of the subject.
Prerequisites
Geometric knowledge and constructional skills at the secondary school level.

Assessment methods and criteria
Analysis of creative work (musical, visual, literary), Combined exam

Seminar works. Written and an oral exam.
Recommended literature
  • Doležal, J.:. Základy geometrie a Geometrie, VŠB-TU Ostrava, on-line učebnice (http://mdg.vsb.cz/jdolezal/StudOpory/Uvod.html).
  • Drábek, K., Harant, F., Setzer, O.:. Deskriptivní geometrie I, SNTL, Praha 1978.
  • Urban, A.:. Deskriptivní geometrie I, SNTL, Praha 1982.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Winter