PřF:M1712 Parallel projections - Course Information

M1712 Parallel projections

Extent and Intensity

1/2. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).

Teacher(s)

RNDr. Jan Vondra, Ph.D. (lecturer)

Guaranteed by

prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Wed 14:00–14:50 M5,01013

• Timetable of Seminar Groups:

M1712/01: Wed 15:00–16:50 M5,01013, J. Vondra

Prerequisites

M2520 Geometry 1 &&! M1710 Methods of Descript. Geom. I
Good space imagination and basic knowledge of stereometry is supposed.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Mathematics with a view to Education (programme PřF, B-EB)
• Mathematics with a view to Education (programme PřF, B-FY)
• Mathematics with a view to Education (programme PřF, B-GE)
• Mathematics with a view to Education (programme PřF, B-GK)
• Mathematics with a view to Education (programme PřF, B-CH)
• Mathematics with a view to Education (programme PřF, B-IO)
• Mathematics with a view to Education (programme PřF, B-MA)
• Upper Secondary School Teacher Training in Mathematics (programme PřF, N-EB)
• Upper Secondary School Teacher Training in Mathematics (programme PřF, N-FY)
• Upper Secondary School Teacher Training in Mathematics (programme PřF, N-CH)
• Upper Secondary School Teacher Training in Mathematics (programme PřF, N-MA)

Course objectives

It is the first lecture of the series of lectures on methods of descriptive geometry. In the lecture the survey of all methods used in descriptive geometry is given. General properties of parallel and central projections are studied. The Monge projection is studied in details.

Syllabus

• Properties of parallel and central projections. Affine mapping. Affine mapping of a circle on an ellipse. Orthogonal parallel projection; Image of points, lines, plane and circles. Position and metric problems.

Literature

• HARANT, Michal and Oldřich LANTA. Deskriptivní geometrie pro II. ročník SVVŠ. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1965, 283 s. info
• POMYKALOVÁ, Eva. Deskriptivní geometrie pro střední školy. 1. vyd. Praha: Prometheus, 2010, 350 s. ISBN 9788071964001. info
• URBAN, Alois. Deskriptivní geometrie. Praha: Státní nakladatelství technické literatury, 1965, 365 s. URL info
• PISKA, Rudolf and Václav MEDEK. Deskriptivní geometrie. 2., rozš. a přeprac. vyd. Praha: SNTL - Nakladatelství technické literatury, 1972, 429 s. URL info
• KRAEMER, Emil. Zobrazovací metody : (promítání rovnoběžné). Praha: Státní pedagogické nakladatelství, 1991, s. 246-460. ISBN 8004217788. info

Teaching methods

Lecture and seminar.

Assessment methods

Written examination.

Language of instruction

Czech

Further Comments

Study Materials
The course is taught once in two years.

• Enrolment Statistics (Autumn 2015, recent)
  
• Permalink: https://is.muni.cz/course/sci/autumn2015/M1712