 | Study programme 2020-2021 | Français | |
| Algebra II | |||
Learning Activity |
| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) | Establishment |
|---|---|---|---|---|
| S-MATH-011 |
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| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 30 | 20 | 0 | 0 | 0 | Q2 |
| Organisational online arrangements for the end of Q3 2020-2021 assessments (Covid-19) |
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| Description of the modifications to the Q3 2020-2021 assessment procedures (Covid-19) |
| Course content assessed: 2021 course (groups, commutative rings). Assessment method: onsite paper-based exam (2hrs). |
Organisational arrangements for the end of Q2 2020-2021 assessments (Covid-19) online or face-to-face (according to assessment schedule)
- Written exam (multiple choice, open questions)
Description of the modifications to the Q2 2020-2021 assessment procedures (Covid-19) online or face-to-face (according to assessment schedule)
Course content assessed: 2021 course (groups, commutative rings; fields depending on the progress of the course).
Assessment method: onsite or online paper-based exam (3hrs).
Content of Learning Activity
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.
Required Learning Resources/Tools
Not applicable
Recommended Learning Resources/Tools
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
Not applicable
Mode of delivery
- Face to face
Type of Teaching Activity/Activities
- Cours magistraux
- Exercices dirigés
Evaluations
The assessment methods of the Learning Activity (AA) are specified in the course description of the corresponding Educational Component (UE)