Study programme 2020-2021 | Français | ||
Algebra II | |||
Programme component of Bachelor's in Mathematics à la Faculty of Science |
Students are asked to consult the ECTS course descriptions for each learning activity (AA) to know what special Covid-19 assessment methods are possibly planned for the end of Q3 |
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Code | Type | Head of UE | Department’s contact details | Teacher(s) |
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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 |
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| Français | 30 | 20 | 0 | 0 | 0 | 5 | 5.00 | 2nd term |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
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S-MATH-011 | Algebra II | 30 | 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: groups, commutative rings, fields.
This course aims to present the essential material in undergraduate basic algebra.
Content of UE
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.
Fields: field extensions, multiplicativity of degrees, algebraic and transcendental elements, roots of unity, minimal polynomials, extension degree computations.
Prior Experience
"Algèbre I" course.
Type of Assessment for UE in Q2
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
Not applicable
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 Reading
AA | |
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S-MATH-011 |
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
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S-MATH-011 | Not applicable |
Recommended Reading
AA | |
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S-MATH-011 |
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
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S-MATH-011 | M.A. Armstrong, Groups and Symmetry, Undergraduate Texts in Mathematics, Springer-Verlag. D. Perrin, Cours d'Algèbre, Ellipses. A. Chambert-Loir, Algèbre corporelle, Les Editions de l'Ecole polytechnique. |
Other Recommended Reading
AA | Other Recommended Reading |
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S-MATH-011 | Not applicable |
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 |