 | Study programme 2023-2024 | Français | |
 | Probability and Statistics I | ||
Programme component of Bachelor's in Mathematics (MONS) (day schedule) à la Faculty of Science |
| Code | Type | Head of UE | Department’s contact details | Teacher(s) |
|---|---|---|---|---|
| US-B2-SCMATH-009-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 | 36 | 20 | 0 | 0 | 0 | 6 | 6.00 | Année |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
|---|---|---|---|---|---|---|---|---|
| S-MATH-013 | Probability and Statistics I (Part A) | 18 | 10 | 0 | 0 | 0 | Q1 | |
| S-MATH-813 | Probability and Statistics I (Part B) | 18 | 10 | 0 | 0 | 0 | Q2 |
| Programme component |
|---|
Objectives of Programme's Learning Outcomes
- Understand "elementary" mathematics profoundly
- Understand one- and several-variable differential and integral calculus
- Understand and use the naive set theory
- 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.
Learning Outcomes of UE
Basic notions of probability. Elements of measure and integration theory.
UE Content: description and pedagogical relevance
- Basic notions of probability - Introduction to measure theory - Introduction to integration theory - Random variables
Prior Experience
Good knowledge of naive set theory
Type(s) and mode(s) of Q1 UE assessment
- Written examination - Face-to-face
Q1 UE Assessment Comments
Not applicable
Method of calculating the overall mark for the Q1 UE assessment
Grade of the exam.
Type(s) and mode(s) of Q1 UE resit assessment (BAB1)
- N/A - Néant
Q1 UE Resit Assessment Comments (BAB1)
Not applicable
Method of calculating the overall mark for the Q1 UE resit assessment
Not applicable
Type(s) and mode(s) of Q2 UE assessment
- Written examination - Face-to-face
Q2 UE Assessment Comments
Not applicable
Method of calculating the overall mark for the Q2 UE assessment
Grade of the exam
Type(s) and mode(s) of Q3 UE assessment
- Oral examination - Face-to-face
Q3 UE Assessment Comments
Not applicable
Method of calculating the overall mark for the Q3 UE assessment
Grade of the exam
Type of Teaching Activity/Activities
| AA | Type of Teaching Activity/Activities |
|---|---|
| S-MATH-013 |
|
| S-MATH-813 |
|
Mode of delivery
| AA | Mode of delivery |
|---|---|
| S-MATH-013 |
|
| S-MATH-813 |
|
Required Learning Resources/Tools
| AA | Required Learning Resources/Tools |
|---|---|
| S-MATH-013 | Exercise sheets |
| S-MATH-813 | Not applicable |
Recommended Learning Resources/Tools
| AA | Recommended Learning Resources/Tools |
|---|---|
| S-MATH-013 | Not applicable |
| S-MATH-813 | Exercise sheets |
Other Recommended Reading
| AA | Other Recommended Reading |
|---|---|
| S-MATH-013 | Jean Jacod, Philip Protter : L'essentiel en théorie des probabilités, Cassini Dominique Foata, Aimé Fuchs : Calcul des probabilités, Dunod |
| S-MATH-813 | Jean Jacod, Philip Protter : L'essentiel en théorie des probabilités, Cassini Dominique Foata, Aimé Fuchs : Calcul des probabilités, Dunod |