Course: Geometry 3

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Course title Geometry 3
Course code KMA/G3
Organizational form of instruction Lecture + Tutorial
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Kovaříková Freya, RNDr. Ph.D.
Course content
Conic sections (ellipse, parabola, hyperbola), focus based and projective properties. Axial affinity. Central collineation. Transformation of circle. Orthographic and Monge projection, axonometry. Algorithm for positional and metric properties. Projection of solids (prisms, pyramids, cylinders, cones, sphere). Cutting of solids.

Learning activities and teaching methods
Lecture supplemented with a discussion, Lecture with visual aids, Practicum
  • Contact hours - 52 hours per semester
  • Preparation for an examination (30-60) - 30 hours per semester
  • Undergraduate study programme term essay (20-40) - 30 hours per semester
prerequisite
Knowledge
In this course we suppose knowledge of high school geometry.
learning outcomes
On completion of this module the student will be able to: -recognize two different types of projection (Monge projection and axonometry), -use this projections in constructions of elementary solids, -interpret object in projections (location, shape, size of objects), -apply knowledge about conic sections, axial affinity and central collineation in practice.
teaching methods
Lecture with visual aids
Lecture supplemented with a discussion
Practicum
assessment methods
Oral exam
Written exam
Recommended literature
  • Kraemer, Emil. Zobrazovací metody : Promítání rovnoběžné : Celost. vysokošk. učebnice pro stud. pedag., přírodovědeckých a matematicko-fyzikálních fakult. Praha : Státní pedagogické nakladatelství, 1991. ISBN 80-04-21778-8.
  • Urban, Alois. Deskriptivní geometrie. I.. Praha : SNTL, 1977.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester