 | Study programme 2020-2021 | Français | |
 | Algebra III | ||
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 |
|---|
| Code | Type | Head of UE | Department’s contact details | Teacher(s) |
|---|---|---|---|---|
| US-B3-SCMATH-001-M | Compulsory UE | VOLKOV Maja | S843 - Géométrie algébrique |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
|---|---|---|---|---|---|---|---|---|---|
| Français | 30 | 20 | 0 | 0 | 0 | 5 | 5.00 | 1st term |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
|---|---|---|---|---|---|---|---|---|
| S-MATH-017 | Algebra III | 30 | 20 | 0 | 0 | 0 | Q1 | 100.00% |
| Programme component |
|---|
Objectives of Programme's Learning Outcomes
- Understand "elementary" mathematics profoundly
- Use vector spaces, linear applications and the techniques associated with them
- Understand and use the naive set theory
- Understand basic algebraic structures
- Manipulate previously acquired knowledge that appears in a question
- Give examples and counterexamples for definitions, properties, theorems, etc.
- Understand and produce strict mathematical reasoning
- Write clearly and concisely
- Use mathematical vocabulary and formalism appropriately
- Make sense of formal expressions
- Rely on a picture to illustrate a concept, rationale, etc.
- Solve new problems
- Abstract and manipulate theories and use these to solve problems
- Adapt an argument to a similar situation
- Use knowledge from different fields to address issues
Learning Outcomes of UE
Sylow theorems and finite Galois theory.
This course aims to present classical advanced algebraic results.
Content of UE
Sylow theorems: group actions, p-groups, Sylow theorems and applications.
Galois theory: algebraic extensions, algebraic closure, embeddings, Galois groups, Galois extensions, Galois correspondence, solvability.
Prior Experience
"Algèbre II" course.
Type of Assessment for UE in Q1
- Written examination
Q1 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q2
- Written examination
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
- Written examination
Q3 UE Assessment Comments
Not applicable
Type of Resit Assessment for UE in Q1 (BAB1)
- N/A
Q1 UE Resit Assessment Comments (BAB1)
Not applicable
Type of Teaching Activity/Activities
| AA | Type of Teaching Activity/Activities |
|---|---|
| S-MATH-017 |
|
Mode of delivery
| AA | Mode of delivery |
|---|---|
| S-MATH-017 |
|
Required Reading
| AA | |
|---|---|
| S-MATH-017 |
Required Learning Resources/Tools
| AA | Required Learning Resources/Tools |
|---|---|
| S-MATH-017 | Not applicable |
Recommended Reading
| AA | |
|---|---|
| S-MATH-017 |
Recommended Learning Resources/Tools
| AA | Recommended Learning Resources/Tools |
|---|---|
| S-MATH-017 | 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 |
|---|---|
| S-MATH-017 | Not applicable |
Grade Deferrals of AAs from one year to the next
| AA | Grade Deferrals of AAs from one year to the next |
|---|---|
| S-MATH-017 | Authorized |