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Lecturer(s)
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Jukl Marek, doc. RNDr. Ph.D.
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Course content
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1. Projective space and its subspaces, intersection and sum of subspaces 2. Arithmetic and geometric base, homogenous coordinate system 3. Analytic expression of subspace 4. Duality in projective spaces 5. Projective extension of affine spaces 6. Complexification of real affine spaces 7. Collineation of projective spaces. Classification of collineations of projective line, plane and 3-space 8. Quadrics on projective space, polar, affine and metric properties of quadrics
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration
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Learning outcomes
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral exam, Student performance, Written exam
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Recommended literature
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Berger, M. (2004). Geometry I., II. Berlin.
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Bican, L. (2002). Lineární algebra. Praha.
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Čižmár,J. (1984). Grupy geometrických transformácií. Bratislava.
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Janyška,J.,Sekaninová, A. (2013). Analytická teorie kuželoseček a kvadrik. Brno.
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Richter-Gebert, J. (2011). Perspectives on Projective Geometry. New York.
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Sekanina, M., Boček, L. (1988). Geometrie II. Praha.
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