| Course title | Algebra 2 |
|---|---|
| Course code | KMT/ALG2Q |
| Organizational form of instruction | Lecture + Exercise + On-line Activities |
| 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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Algebraic structures. Partitions via subgroups. Langrange's Theorem. Normal subgroups, congruences on groups and factor groups. Classification of finite groups up to order 15. Rings and subrings. Isomorphism of rings. Integral domains, division rings and fields. Ideals, congruences on rings and factor rings. Algebraic equations over integral domains.
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| Learning activities and teaching methods |
| Lecture |
| Learning outcomes |
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Competencies in the field of algebraic structures.
Ability to abstract relations in numeric fields to more general integral domains. |
| Prerequisites |
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Successful completion of the course Algebra 1.
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| Assessment methods and criteria |
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Mark
Active knowledge of subject matter. |
| 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 focused on education (BB16) | Category: Pedagogy, teacher training and social care | 1 | Recommended year of study:1, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics focused on education (BB18) | Category: Pedagogy, teacher training and social care | 1 | Recommended year of study:1, Recommended semester: Summer |
| Faculty: Faculty of Education | Study plan (Version): Mathematics focused on education (BB18) | Category: Pedagogy, teacher training and social care | 1 | Recommended year of study:1, Recommended semester: Summer |