| Course title | Projective geometry |
|---|---|
| Course code | KAG/ZG1 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Master |
| Year of study | 1 |
| Semester | Winter |
| Number of ECTS credits | 4 |
| Language of instruction | Czech |
| Status of course | Compulsory-optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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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 |
| unspecified |
| Learning outcomes |
| Prerequisites |
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unspecified
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| Assessment methods and criteria |
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unspecified
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Teaching Training in Mathematics for Secondary Schools (2019) | Category: Pedagogy, teacher training and social care | 1 | Recommended year of study:1, Recommended semester: Winter |