Elements of probability calculus
MATH0062-1, University of Liège, Spring
Instructors: Lecturer: Pierre Sacré Teaching assistants: Anaëlle De Worm, Antoine Evens, Christian Fernandez Lorden Student teaching assistants: Arthur de Landsheere, Arnaud Innaurato, Lucie Lejeune
Lectures: Tuesdays, 3:45pm-5:45pm (roll a dice or check CELCAT for location)
Communication: Ed Discussion is our primary digital channel for communication about the course. Sign up here: (choose EU region, use your @student.uliege.be email address). An announcement about the course organization is waiting for you there.
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- Welcome to the Spring edition of MATH0062!
Schedule and materials
Slides are made available as the semester progresses.
This tentative schedule is subject to change.
Review session on counting and sets [podcast, slides].
| Date | 1:45pm-3:45pm | 3:45pm-5:45pm |
|---|---|---|
| Tue 03/02 |
0. Overview
[slides]
1. Probability and counting [slides] 2. Conditional probability and Bayes' rule [slides] |
|
| Tue 10/02 | Exercises 1 + 2 [list] | |
| Tue 17/02 | No class (Mardi Gras) | No class (Mardi Gras) |
| Tue 24/02 | 3. Discrete random variables [slides] | |
| Tue 03/03 | Exercises 3 [list] | |
| Tue 10/03 | 4. Continuous random variables [slides] | |
| Tue 17/03 | 5. Joint distributions [slides] | |
| Tue 24/03 | Exercises 4 [list] | |
| Wed 31/03 | Exercises 5 [list] | |
| Tue 07/04 | 6. Conditional expectation [slides] | |
| Tue 14/04 | Exercises 6 [list] |
7. Transformations
[slides]
8. Inequalities and limit theorems [slides] |
| Tue 21/04 | No class (Easter holidays) | No class (Easter holidays) |
| Tue 28/04 | No class (Easter holidays) | No class (Easter holidays) |
| Tue 05/05 | Exercises 7 + 8 [list] | Q&A |
| Tue 12/05 |
Review session
- Examples of conceptual questions - Solutions of past exam questions |
|
Book
Introduction to ProbabilityJoseph K. Blitzstein and Jessica Hwang
Chapman and Hall/CRC, 2nd edition, 2019
(freely viewable from authors website)
Archives
- Spring 2024
- Spring 2023
- Spring 2022
- Spring 2021
- Spring 2020
- Spring 2019: theory, practice (L. Wehenkel)
- Spring 2018: theory, practice (L. Wehenkel)
- Spring 2017: theory, practice (L. Wehenkel)