Course: Selected Chapters in Geometry

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Course title Selected Chapters in Geometry
Course code KMT/KVKGQ
Organizational form of instruction Lecture + On-line Activities
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 3
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)
  • Dofková Radka, doc. PhDr. Ph.D.
  • Wossala Jan, Mgr. Ph.D.
Course content
The circular inversion is defined with the stereographic projection. The features of the circular inversion are used by the solution of the design works. The conic sections are defined with the set of points of features. The conic sections classification is given by the coordinate transformation. Activity with interactive board.

Learning activities and teaching methods
Lecture, Work with Text (with Book, Textbook), Methods of Written Work, Work Activities
  • Homework for Teaching - 28 hours per semester
  • Preparation for the Course Credit - 20 hours per semester
  • Semestral Work - 12 hours per semester
  • Attendace - 28 hours per semester
Learning outcomes
The circular inversion is defined with the stereographic projection. The features of the circular inversion are used by the solution of the design works. The conic sections are defined with the set of points of features. The conic sections classification is given by the coordinate transformation.
Possibility to solve geometric problems with use of various methods.
Prerequisites
Knowledge of plane geometry and planimetry.

Assessment methods and criteria
Oral exam, Written exam, Student performance, Seminar Work

The student elaborates and passes on 3 drawn problems. 70% of marks from the total point amount are given for the written works
Recommended literature
  • Boček, L., Kočandrle, M., Sekanina, M., Šedivý, J., & Šarounová, A. (1988). Geometrie. Praha: Státní pedagogické nakladatelství.
  • Jukl, M. (1999). Analytická geometrie kuželoseček a kvadrik. Olomouc: Univerzita Palackého.
  • Matyášek, F. (1995). Geometrie. Olomouc: Vydavatelství Univerzity Palackého.


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