| Course title | Linear Algebra and Geometry II |
|---|---|
| Course code | KMA/K212 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | 1 |
| Semester | Summer |
| Number of ECTS credits | 4 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| 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. elementary knowledges of linear algebra - (finite) vector spaces, linear combination, linear dependance (independance), linear maps, base, dimension, matrix algebra, determinants... 2. affine spaces, models, subspaces 3. typical coordinate systems, coordinate systems od affine spaces 4. mutual position subspaces of affine spaces - lines, planes, lines and planes (in 3D), and subspaces 5. finite dimensions (in n-dimensional spaces) 6. nonparametric equations of subspaces; typical subspaces of affine spaces dot product, vector spaces with dot product, Euclidean spaces, perpendicularr subspaces 7. Cartesian coordinates, coordinate transformations 8. metrics, distance 9. plane angles, three-dimensional angles 10. complex plane 11. affine characteristics of quadratics 12. metric characteristics of quadratics 13. conic sections
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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): Mathematics (double subject) (A14) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Mathematics (double subject) (A14) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Summer |