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Lecturer(s)
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Jukl Marek, doc. RNDr. Ph.D.
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Juklová Lenka, 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
KAG/LA1M
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Assessment methods and criteria
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Oral exam, Written exam, Student performance
Credit: the student has to participate actively in seminars and pass a written test. Exam: the student has to understand the subject and be able to prove the principal results. The student has to be able to solve problems.
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Recommended literature
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Sekanina M. (1986). Geometrie I. SPN Praha.
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Berger, M. (1987). Geometry I, II. Universitext Springer-Verlag Berlin.
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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. VUP Olomouc.
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Zlatoš P. (2011). Lineárna algebra a geometria. Marenčin Bratislava.
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