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Last update: RNDr. Jakub Staněk, Ph.D. (16.06.2019)
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Last update: Mgr. Lukáš Krump, Ph.D. (29.10.2019)
The course credit (="zápočet") is obtained for activity during tutorials; in well-reasoned cases (longer justified absence), the course credit can be obtained for given homeworks.
The nature of this study control excludes repeating.
The course credit is a necessary condition for admission to the exam. |
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Last update: T_KDM (14.04.2014)
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Last update: Mgr. Lukáš Krump, Ph.D. (29.10.2019)
The exam is oral, its contents corresponds to the syllabus in the extent taught. |
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Last update: T_KDM (17.04.2014)
1. Basic properties of projective space. Definition of a projective space over R and C, linear objects, duality, corelation.
2. Classifications of quadrics in a projective space. Definition of a quadric in projective space, inertia theorem, nullity space of a quadric, classification of quadrics especially for n = 2, 3.
3. Desargues, Pappos and Pascal theorem.
4. Projective transformations and their real Jordan forms. Theorems on dimensions and on maximal linear subspaces on a quadric, polar properties, vertex of a quadric, general projective and affine classification of quadrics with application to n=2,3. Tangent cone and base of a quadric. |