| 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 | 0 | 0 | 0 | 0 | 0 | 5 | 5 |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | |
|---|---|---|---|---|---|---|---|---|
| S-MATH-017 |
Objectives of general skills
- 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
UE's Learning outcomes
Finite Galois theory.
The aim of this course is to introduce the basic theory of algebraic extensions and to construct the Galois correspondence for finite extensions.
UE Content
Commutative rings, polynomial rings, field extensions, algebraic extensions, algebraic closure, embeddings, Galois groups, Galois extensions, Galois correspondence.
Prior experience
"Algèbre II" course.
Term 1 for Integrated Assessment - type
- Written examination
Term 1 for Integrated Assessment - comments
Not applicable
Term 2 for Integrated Assessment - type
- Written examination
Term 2 for Integrated Assessment - comments
Not applicable
Term 3 for Integrated Assessment - type
- Written examination
Term 3 for Integrated Assessment - comments
Not applicable
Resit Assessment for IT - Term 1 (B1BA1) - Comments
Not applicable
Type of Teaching Activity/Activities
| AA | |
|---|---|
| S-MATH-017 |
Mode of delivery
| AA | |
|---|---|
| S-MATH-017 |
Required Reading
| AA | |
|---|---|
| S-MATH-017 |
Required Learning Resources/Tools
| AA | |
|---|---|
| S-MATH-017 |
Recommended Reading
| AA | |
|---|---|
| S-MATH-017 |
Recommended Learning Resources/Tools
| AA | |
|---|---|
| S-MATH-017 |
Other Recommended Reading
| AA | |
|---|---|
| S-MATH-017 |