 | Study programme 2018-2019 | Français | |
 | Algebra II | ||
Programme component of Bachelor's Degree in Mathematics 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 |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
|---|---|---|---|---|---|---|---|---|---|
| Français | 30 | 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 | 30 | 20 | 0 | 0 | 0 | Q2 | 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
Introduction to group theory with emphasis on finite groups.
The aim of this course is to develop enough group theory and to introduce group actions in order to prove the Sylow Theorems.
Content of UE
Finite groups, group actions, p-groups, Sylow Theorems.
Prior Experience
"Algèbre I" course.
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 Teaching Activity/Activities
| AA | Type of Teaching Activity/Activities |
|---|---|
| S-MATH-011 |
|
Mode of delivery
| AA | Mode of delivery |
|---|---|
| S-MATH-011 |
|
Required Reading
| AA | |
|---|---|
| S-MATH-011 |
Required Learning Resources/Tools
| AA | Required Learning Resources/Tools |
|---|---|
| S-MATH-011 | Not applicable |
Recommended Reading
| AA | |
|---|---|
| S-MATH-011 |
Recommended Learning Resources/Tools
| AA | Recommended Learning Resources/Tools |
|---|---|
| S-MATH-011 | M.A. Armstrong, Groups and Symmetry, Undergraduate Texts in Mathematics, Springer-Verlag. D. Perrin, Cours d'Algèbre (chapitre 1), Ellipses. |
Other Recommended Reading
| AA | Other Recommended Reading |
|---|---|
| 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 |
|---|---|
| S-MATH-011 | Authorized |
(*) HT : Hours of theory - HTPE : Hours of in-class exercices - HTPS : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes. - Per. (Period), Y=Year, Q1=1st term et Q2=2nd term