Course detail

Selected Chapters from Descriptive Geometry

FSI-0KDAcad. year: 2010/2011

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

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

RNDr. Ludmila Chvalinová, CSc.

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

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

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)
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 B3901-3 Bachelor's

    branch B-PDS , 1 year of study, winter semester, elective (voluntary)
    branch B-FIN , 1 year of study, winter semester, elective (voluntary)
    branch B-MAI , 1 year of study, winter semester, elective (voluntary)
    branch B-MET , 1 year of study, winter semester, elective (voluntary)
    branch B-MTI , 1 year of study, winter semester, elective (voluntary)
    branch B-MTI , 2 year of study, winter semester, elective (voluntary)

  • Programme B2341-3 Bachelor's

    branch B-STI , 1 year of study, winter semester, elective (voluntary)
    branch B-S1R , 1 year of study, winter semester, elective (voluntary)

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

RNDr. Mája Lovečková
RNDr. Ludmila Chvalinová, CSc.

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.