| Course title | Geometry 1 |
|---|---|
| Course code | KAG/GEO1 |
| Organizational form of instruction | Lecture + Exercise |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Winter |
| Number of ECTS credits | 4 |
| Language of instruction | Czech |
| Status of course | Compulsory, 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. 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 |
| Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration |
| 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. |
| Prerequisites |
|
unspecified
KAG/ALG1 ----- or ----- KAG/LA1A |
| Assessment methods and criteria |
|
Written exam, Student performance
The student has to participate actively in seminars and pass a written test. |
| 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): Applied Mathematics - Specialization in Industrial Mathematics (2020) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Business Mathematics (2021) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Mathematics for Education (2023) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Data Science (2020) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |