| Course title | Algebra 4 |
|---|---|
| Course code | KMT/AL4@ |
| Organizational form of instruction | Lecture + Exercise |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 3 |
| 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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Linear algebra Matrices. Systems of linear equations. Systems of linear equations with a unique solution. Determinants. Vector spaces and subspaces. Finitely-generated vector spaces. The subspaces associated to matrices. Linear and direct sums of subspaces. Linear maps. Euclidean vector spaces.
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| Learning activities and teaching methods |
| Lecture |
| Learning outcomes |
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The course aims to understand to the theory of linear algebra.
Competency in the field of the linear algebra. |
| Prerequisites |
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Algebra 3.
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| Assessment methods and criteria |
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Mark
Knowing in detail the concept of an algebraic structure, to be able to solve problems associated with the isomorphism of these structures. |
| 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 Education | Study plan (Version): Mathematics: teaching focus (BB20) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics: teaching focus (BB22) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics focused on education (BB22) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics: teaching focus (BB21) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics focused on education (BB21) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics focused on education (BB20) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics focused on education (BB19) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics: teaching focus (BB19) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Summer |