| Course title | Mathematics I |
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| Course code | KGI/3MAT1 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | 1 |
| Semester | Winter |
| Number of ECTS credits | 5 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | unspecified |
| Work placements | unspecified |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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1. Scientifc language, basics of symbolic logic - statements. 2. Basics of symbolic logic - predicates. Basic knowledges about sets. 3. Relations, special relations. 4. Operations. Algebraic structures. Basic algebraic structures. 5. Vector spaces. Definition and basic properties of vector spaces. 6. Bases of vector spaces. Theorem of Steinitz. Vector spaces with scalar product. 7. Matrices . Definition and basic properties. 8. Matrices and systems of linear equations. Theorem of Frobenius. 9. Determinants. Definition and basic properties. 10. Determinants and systems of linear equations. Cramer's rule. 11. Other properties of matrices and determinants. 12. Basics of analytic geometry. Afinne space. 13. Basics of analytic geometry. Euclidean space. 14. Time reserve or optional topics.
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| Learning activities and teaching methods |
| unspecified |
| 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 Environment | Study plan (Version): Environmental Protection (C_3) | Category: Ecology and environmental protection | 1 | Recommended year of study:1, Recommended semester: Winter |