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Lecturer(s)
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Juklová Lenka, RNDr. Ph.D.
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Jukl Marek, doc. RNDr. Ph.D.
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Course content
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1. Affine spaces, affine coordinates, affine subspaces, expression of subspaces by means of equations, relative position of affine subspaces. 2. Barycentric coordinates. 3. Oriented affine lines, ordered affine lines, half-lines, abscissas. 4. Oriented affine spaces, half-spaces. 5. Affinity. 6. Euclidean spaces, metric, distance of subspaces. 7. Angle of subspaces. 8. Volume of a simplex. 9. Isometry.
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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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Understand analytic geometry of linear subsets of affine and Euclidean spaces of general dimension. To master corresponding tasks.
1. Knowledge Students recall basic knowledges of linear algebra and describe elements of coordinated linear affine and Euclidean geometry and define relations between geometrical configurations.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Written exam, Student performance
The student has to participate actively in seminars and pass a written test.
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Recommended literature
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Sekanina M. (1986). Geometrie I. Praha.
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Berger, M. (2004). Geometry I, II. Universitext Springer.
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Hejný M. (1985). Geometria I. SPN Bratislava.
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JUKL Marek. (2014). Analytická geometrie. Olomouc.
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Marková L. (1991). Cvičení z geometrie I. Olomouc.
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Zlatoš P. (2011). Lineárna algebra a geometria. Bratislava.
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