 | Study programme | Français | |
 | Probabilities and statistics II (Part A) | ||
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-B3-SCMATH-008-M | Compulsory UE | GROSSE-ERDMANN Karl | S844 - Probabilité et statistique |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
|---|---|---|---|---|---|---|---|---|---|
| Français | 20 | 10 | 0 | 0 | 0 | 4.00 | 100.00 |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
|---|---|---|---|---|---|---|---|---|
| S-MATH-022 | Probability and statistics II (Part A) | 20 | 10 | 0 | 0 | 0 | Q1 | 100.00% |
| Unité d'enseignement |
|---|
Objectives of Programme's Learning Outcomes
- Understand "elementary" mathematics profoundly
- Understand the fundamentals of probability and statistics
- 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.
- Collaborate on mathematical subjects
- Demonstrate independence and their ability to work in teams.
- 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
- Address literature and interact within other scientific fields
- Have sufficient knowledge of English in order to read and understand scientific texts, especially in the field of mathematics.
- Have a good knowledge of related fields using mathematics
Learning Outcomes of UE
The aim of this cours is the study of sequences of random variables and of random vectors
Content of UE
- The strong law of large numbers
- Random vectors
Prior Experience
Good knowledge of the basic theory of probability (probability distributions, random variables) and of the elements of measure theory and integration theory
Type of Assessment for UE in Q1
- Written examination
Q1 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q2
- N/A
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
- Oral examination
Q3 UE Assessment Comments
Not applicable
Q1 UE Resit Assessment Comments (BAB1)
Not applicable
Type of Teaching Activity/Activities
| AA | Type of Teaching Activity/Activities |
|---|---|
| S-MATH-022 |
|
Mode of delivery
| AA | Mode of delivery |
|---|---|
| S-MATH-022 |
|
Required Reading
| AA | |
|---|---|
| S-MATH-022 |
Required Learning Resources/Tools
| AA | Required Learning Resources/Tools |
|---|---|
| S-MATH-022 | Exercise sheets |
Recommended Reading
| AA | |
|---|---|
| S-MATH-022 |
Recommended Learning Resources/Tools
| AA | Recommended Learning Resources/Tools |
|---|---|
| S-MATH-022 | Not applicable |
Other Recommended Reading
| AA | Other Recommended Reading |
|---|---|
| S-MATH-022 | Allan Gut : Probability : A graduate course, 2e édition, Springer Texts in Statistics 75, Springer Jean-Pierre Lecoutre, Statistique et probabilités : Manuel et exercices corrigés, Dunod Bernard Candelpergher : Théorie des probabilités. Une introduction élémentaire, Calvage et Mounet Benjamin Jourdain, Probabilités et statistique, Ellipses |
Grade Deferrals of AAs from one year to the next
| AA | Grade Deferrals of AAs from one year to the next |
|---|---|
| S-MATH-022 | Autorisé |