Study programme 2023-2024 | Français | ||
Algebra II | |||
Programme component of Bachelor's in Mathematics (MONS) (day schedule) à la Faculty of Science |
Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
US-B2-SCMATH-002-M | Compulsory UE | VOLKOV Maja | S843 - Géométrie algébrique |
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Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
| Français | 36 | 20 | 0 | 0 | 0 | 5 | 5.00 | 2nd term |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
S-MATH-011 | Algebra II | 36 | 20 | 0 | 0 | 0 | Q2 | 100.00% |
Programme component |
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Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
Basic algebra: permutations, groups, commutative rings.
UE Content: description and pedagogical relevance
Permutations: decomposition into disjoint cycles, signature.
Groups: generated subgroups, factorisation of morphisms, canonical isomorphisms, centralisers, normalisers, dihedral groups, quaternion group, linear groups over finite fields.
Commutative rings: prime ideals, maximal ideals, operations on ideals, Chinese remainder theorem, PID's and UFD's.
Prior Experience
"Algèbre I" course.
Type of Teaching Activity/Activities
AA | Type of Teaching Activity/Activities |
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S-MATH-011 |
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Mode of delivery
AA | Mode of delivery |
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S-MATH-011 |
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Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
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S-MATH-011 | Not applicable |
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
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S-MATH-011 | Lecture notes "Algèbre II", available on the platform Moodle. |
Other Recommended Reading
AA | Other Recommended Reading |
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S-MATH-011 | M.A. Armstrong, Groups and Symmetry, Undergraduate Texts in Mathematics, Springer-Verlag. |
Grade Deferrals of AAs from one year to the next
AA | Grade Deferrals of AAs from one year to the next |
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S-MATH-011 | Authorized |
Term 2 Assessment - type
AA | Type(s) and mode(s) of Q2 assessment |
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S-MATH-011 |
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Term 2 Assessment - comments
AA | Term 2 Assessment - comments |
---|---|
S-MATH-011 | Not applicable |
Term 3 Assessment - type
AA | Type(s) and mode(s) of Q3 assessment |
---|---|
S-MATH-011 |
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Term 3 Assessment - comments
AA | Term 3 Assessment - comments |
---|---|
S-MATH-011 | Not applicable |