M1712 Parallel projections

Faculty of Science
autumn 2021
Extent and Intensity
1/2. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Taught in person.
Teacher(s)
RNDr. Jakub Novák (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
Thu 17:00–17:50 M5,01013
  • Timetable of Seminar Groups:
M1712/01: Thu 18:00–19:50 M5,01013, J. Novák
Prerequisites
MUC21 Construction geometry &&! MDG01 Methods of Descript. Geom. I
High spatial intelligence and basic knowledge of stereometry are expected.
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
there are 11 fields of study the course is directly associated with, display
Course objectives
Students of this course will be acquainted with general properties of 3D projections and will learn constructions of spatial problems in the Monge projection. They will obtain broader view of the topic which can help them to teach their own courses of stereometry on high schools.
Learning outcomes
At the end of the course the student will be able to:
understand basic principles of 3D projections;
construct elementary constructions in the Monge projection;
use elementary constructions during solving more complex problems.
Syllabus
  • Classification of 3D projections and their applications. The Monge projection.
  • Projection of lines nad planes. Relationships between lines and planes and perpendicularity in 3D space.
  • Elementary constructions in the Monge projection. Solving spatial problems.
  • Constructions of shapes. Sections of shapes and their intersections with lines.
Literature
  • POMYKALOVÁ, Eva. Deskriptivní geometrie pro střední školy. 1. vyd. Praha: Prometheus, 2010. 350 s. ISBN 9788071964001. info
  • HARANT, Michal and Oldřich LANTA. Deskriptivní geometrie pro II. ročník SVVŠ. Část I. [SPN, 1965]. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1965. 283 s. : i. info
  • URBAN, Alois. Deskriptivní gemetrie. 1 [Urban, 1965]. Praha: Státní nakladatelství technické literatury, 1965. 365 s. info
  • PISKA, Rudolf and Václav MEDEK. Deskriptivní geometrie. I [Piska, 1972]. 2. rozš. a přeprac. vyd. Praha: SNTL - Nakladatelství technické literatury, 1972. 429 s. info
  • KRAEMER, Emil. Zobrazovací metody : (promítání rovnoběžné). Praha: Státní pedagogické nakladatelství, 1991. s. 246-460. ISBN 8004217788. info
Teaching methods
Lecture and seminar. The emphasis is on the work of students in seminars and solving given homeworks.
Assessment methods
Credits are given for homeworks and successfuly written test (at least three out of four solved problems). Test will be given at the examination period.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught once in two years.
Teacher's information
At seminars we will solve problems from the source in study materials of this course. Please print it and bring it to seminars.
The course is also listed under the following terms Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2015, autumn 2017.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2021/M1712