Course detail

Selected Chapters from Constructive Geometry

FSI-0KDAcad. year: 2021/2022

The course familiarises students with the fundamentals of three-dimensional descriptive geometry, theory of engineering drawing and graphical method of solving space or solid analytic geometry problems. Presentation of these concepts will enable students
to understand descriptive geometry who will be able to relate it to engineering and technology.

Language of instruction

Czech

Mode of study

Not applicable.

Guarantor

doc. Ing. Pavel Štarha, Ph.D.

Department

Institute of Mathematics (ÚM)

Learning outcomes of the course unit

Students will acquire basic knowledge of three-dimensional descriptive geometry
necessary to solve real life situations in various areas of engineering.

Prerequisites

Students are expected to be familiar with the fundamentals of geometry and mathematics
at the secondary school level.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline.

Assesment methods and criteria linked to learning outcomes

Course-unit credit is conditional on an active attendance at seminars.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The course aims to acquaint the students with the theoretical basics of descriptive geometry.

Specification of controlled education, way of implementation and compensation for absences

If a student does not satisfy the given conditions, the teacher can set an alternative condition.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

PARÉ, E. G. Descriptive geometry. 9th ed. Upper Saddle River, NJ: Prentice Hall, 1997. ISBN 978-0023913419. (EN)
URBAN, Alois. Deskriptivní geometrie I. Praha: SNTL, n.p., 1965. (CS)

Recommended reading

BORECKÁ, Květoslava. Konstruktivní geometrie. Vyd. 2. Brno: Akademické nakladatelství CERM, 2006. ISBN 80-214-3229-2. (CS)
PARÉ, E. G. Descriptive geometry. 9th ed. Upper Saddle River, NJ: Prentice Hall, 1997. ISBN 978-0023913419. (EN)
SEICHTER, Ladislav. Konstruktivní geometrie: [Určeno pro posl. fak. stroj. Vys. učení techn. v Brně]. 2. opr. a dopl. vyd. Brno: PC-DIR, 1993. Učební texty vysokých škol. ISBN 80-214-0547-3. (CS)

Classification of course in study plans

  • Programme B-FIN-P Bachelor's 1 year of study, winter semester, elective
  • Programme B-MAI-P Bachelor's 1 year of study, winter semester, elective
  • Programme B-MET-P Bachelor's 1 year of study, winter semester, elective
  • Programme B-PDS-P Bachelor's 1 year of study, winter semester, elective

  • Programme B-STR-P Bachelor's

    specialization STR , 1 year of study, winter semester, elective

  • Programme B-ZSI-P Bachelor's

    specialization STI , 1 year of study, winter semester, elective
    specialization MTI , 1 year of study, winter semester, elective
    specialization MTI , 2 year of study, winter semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Mgr. Jana Procházková, Ph.D.

Syllabus

1. Basics of conics.
2. Special constructions of conics.
3. Conics. Mapping between two planes.
4. Mapping between a circle and an ellipse.
5. Mongean system of descriptive geometry. Basic principles of orthographic projection.
6. Auxiliary inclined views or projections.
7. Orthographic projection - practicale problems.
8. Axonometric projection.
9. Solids in the isometric pictorial.
10. Elementary solids and surfaces.
11. Intersection of a line and a surface. Slice.
12. Auxiliary inclined views.
13. Examples according to student interest.