MA2BP_PKOG Constructive Geometry

Faculty of Education
Spring 2010
Extent and Intensity
2/0/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Otta Říha, CSc. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Contact Person: doc. RNDr. Otta Říha, CSc.
Prerequisites
Have a good knowledge of geometry especially stereometry of a secondary school.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
At the end of this course, students should be able to: understand and be able to give insight intu the following concepts and problems: Properties of parallel and central projections. Affine mapping. Affine mapping of a circle on an ellipse. Orthogonal projection on two orthogonal planes; image of linear elements, position and metric problems. Image of circles and solid bodies. Intersections of solid bodies a planes. Skew projection: image of points, lines and planes, incidence problems, solid and their cuts by planes. Students should be able to solve problems and exercises of   those areas and transform problem solutions in the appropriate projection.
Syllabus
  • Introductoin to the methods of descriptive geometry. Properties of parallel and central projections. Afinne mapping. Afinne mapping of a circle on an ellipse. Orthogonal projection on two orthogonal planes; image of linear elements, position and metric problems.Image of circles and solid bodies. Intersections of solid bodies a planes. Skew projection: image of points, lines and planes, incidence problems, solid and their cuts by planes.
Literature
  • ŘÍHA, Ota. Konstrukční geometrie I (Descriptive Geometry). První (dotisk 2002). Brno: Masarykova univerzita, 1999, 84 pp. ISBN 80-210-2104-7. info
  • ŘÍHA, Otta. Konstrukční geometrie II (Descriptive geometry). 2nd ed. Brno: Masarykova univerzita, 2009, 139 pp. ISBN 978-80-210-4803-4. info
Teaching methods
Lectures
Assessment methods
Required course,lectures to according weekly timetable, at the examination period written and oral examination. In writing examination students plot the solution of two tasks. The solution is evaluated points. Is required minimaly 80% gain points. During the oral examination, the student balloting issue containing 3 sub-issue. In their answering must demonstrate knowledge definitions and teorems and know how to apply problem solving.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: Nutnou podmínkou pro konání zkoušky je získání zápočtu z předmětu MA2BP_CKOG.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2009.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2010/MA2BP_PKOG