Course: Construction Geometry 2

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Course title Construction Geometry 2
Course code KAG/MKOG3
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Chodorová Marie, RNDr. Ph.D.
  • Sapáková Persefoni, Mgr.
Course content
1. Stereometry. Positional and metric characteristics of fundamental geometric formations, mutual position, parallelism, distance, angle deviation, perpendicularity - definition, property criterions. 2. Elementary surfaces and solids. Convex solids and Platon's solids. 3. Parallel projection - basic characteristic and invariant parallel projection, special characteristics of rectangular projection. 4. Axial affinity in space and plane, characteristics, picture circle in axial affinity. Collineation - conception, basic characteristic. 5. Volitional parallel projection - basic characteristic, mapping of square and round solids. Cut of solids with plane, points of intersection straight line with solid, solving cubic constructional exercise. 6. The Monge projection - basic concepts, mapping of points, straight lines and planes. Positional and metric exercises. Mapping of simple elements use fundamental positional and metric exercises.

Learning activities and teaching methods
Lecture, Work with Text (with Book, Textbook)
Learning outcomes
Identification with basic characteristics of geometric formations and the basic characteristics of some parallel projections.
1. Knowledge Students describe geometric constructions and mappings in space.
Prerequisites
unspecified
KAG/MKOG2

Assessment methods and criteria
Oral exam, Written exam, Analysis of Activities ( Technical works)

Credit: turn in three drawings and one model of a solid, homework from hour to hour. Exam: the student has to understand the subject and be able to solve assigned problems.
Recommended literature
  • https://kag.upol.cz/homepage_chodorova/konstrukcni-geometrie-2-rocnik-zs/.
  • současné středoškolské učebnce planimetrie a stereometrie.
  • Machala F., Sedlářová M., Srovnal. (2002). Konstrukční geometrie. UP Olomouc.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Mathematics for Education (2023) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter