| Course title | Algebra II |
|---|---|
| Course code | KMA/M200 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Master |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 4 |
| Language of instruction | Czech, English |
| 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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unspecified
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
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The aim of the course is to enlarge and deepen the knowledge of students in two classical parts of algebra - Group Theory and Ring Theory. The following topics will be dealt with: permutations, groups of residue classes, subgroups, products of groups, Lagrange Theorem, homomorphisms of groups, factorgroups, subrings, homomorphisms of rings, polynomials, roots of polynomials, polynomials over the field of complex numbers, polynomials over the rings R, Q and Z, ideals, factorrings, extensions of fields. In this way, necessary notions will be introduced and corresponding assertions will be proved which will lead to two main goals of the course, namely to the formulation and proof of the complete description of all finite commutative groups as well as the complete description of all finite fields.
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| Prerequisites |
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Teaching in English is meant only for erasmus and foreign students. In the case of a small number of students is teaching in a form of individual consultations.
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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): Teaching of mathematics for Secondary schools (A14) | Category: Pedagogy, teacher training and social care | 1 | Recommended year of study:1, Recommended semester: Summer |