Study programme | Français | ||
Probability and Statistics | |||
Programme component of Bachelor's Degree in Engineering à la Faculty of Engineering |
Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
UI-B2-IRCIVI-003-M | Compulsory UE | GILLIS Nicolas | F151 - Mathématique et Recherche opérationnelle |
|
Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
| Français | 24 | 24 | 0 | 0 | 0 | 4.00 | 4.00 |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
I-MARO-005 | Probability | 12 | 12 | 0 | 0 | 0 | Q2 | 50.00% |
I-MARO-007 | Statistics | 12 | 12 | 0 | 0 | 0 | Q2 | 50.00% |
Unité d'enseignement | ||
---|---|---|
UI-B1-IRCIVI-004-M Mathématique pour l'ingénieur 2 | ||
UI-B1-IRCIVI-003-M Mathématique pour l'ingénieur 1 |
Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
- Understand and explain the basic concepts of probability and some important results (law of large numbers, Central Limit Theorem);- Solve simple applications implementing these concepts and results in a number of concrete situations (gambling, election polls, queues, fault diagnosis, ...); - Construct an interval containing almost certainly the value of a parameter of the distribution of a variable al- Testing the assumptions made on the value of parameters associated with random variables, and other assumptions such as independence, fit and homogénéit- Establish a linear regression model to an explanatory variable.
Content of UE
notions of probability: random variables and distribution; classical distributions; vectors al independence, correlation, normal distribution; laws of large numbers; central limit theorem, characteristic function, approximation to the binomial distribution by the normal distribution and the Poisson distribution; modeling real situations by probability (eg, queues, Google PageRank).
Notions of statistics: basic descriptive statistics in one and two dimensions (sample frequency, graphics); correlation; regression; independence; estimate average intervals, variance, proportion; regression coefficient; maximum likelihood method; hypothesis testing (population mean, proportion, variance, comparison of means and variances, fit, independence); linear regression model (in one variable).
Prior Experience
Calculus.
Type of Assessment for UE in Q1
Q1 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q2
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
Not applicable
Type of Resit Assessment for UE in Q1 (BAB1)
Q1 UE Resit Assessment Comments (BAB1)
Not applicable
Type of Teaching Activity/Activities
AA | Type of Teaching Activity/Activities |
---|---|
I-MARO-005 |
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I-MARO-007 |
|
Mode of delivery
AA | Mode of delivery |
---|---|
I-MARO-005 |
|
I-MARO-007 |
|
Required Reading
AA | Required Reading |
---|---|
I-MARO-005 | Note de cours - Note de cours de Probabilités - Nicolas Gillis et Marc Pirlot |
I-MARO-007 | Note de cours - Statistiques - Nicolas Gillis et Marc Pirlot |
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
---|---|
I-MARO-005 | Not applicable |
I-MARO-007 | Not applicable |
Recommended Reading
AA | Recommended Reading |
---|---|
I-MARO-005 | Notes d'exercices - Exercices - Jacques Teghem |
I-MARO-007 |
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
---|---|
I-MARO-005 | Sans objet |
I-MARO-007 | Sans objet |
Other Recommended Reading
AA | Other Recommended Reading |
---|---|
I-MARO-005 | Not applicable |
I-MARO-007 | Not applicable |
Grade Deferrals of AAs from one year to the next
AA | Grade Deferrals of AAs from one year to the next |
---|---|
I-MARO-005 | Autorisé |
I-MARO-007 | Autorisé |