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en:elective [2022/04/01 10:42] – cpoueten:elective [2025/03/14 15:25] (Version actuelle) – [Elective course unit] cpouet
Ligne 1: Ligne 1:
 +==== Elective course unit ====
 +** General information **
 +  * Course name in French: Electifs
 +  * ECTS credits: 4 (see below what must be done to get these ECTS)
 +  * ** <color red> Period: Fall-Winter Semester (from early September until end of January/early February) </color>**
 +  * Level : Undergraduate (Bachelor 4th Year) or Graduate (Master 1st Year)
 +  * Teaching hours: 90 hours divided into 3 courses (30 hours each)
 +  * Language of instruction: usually French
  
 +Warning! The elective course unit consists of 3 courses. Students must choose ** one and ONLY ONE ** course in each list.
 +
 +Three courses in Mathematics can be attended as they are offered in two separate lists:
 +  - Numerical mathematics and simulation (List 1),
 +  - Introduction to stochastic processes (List 2),
 +  - Advanced analysis (List 3).
 +
 +Due to timetable constraints, you cannot attend more than one course in a list.
 +
 +==== Numerical mathematics and simulation (available in course list 1) ====
 +** General information **
 +  * Course name in French: Mathématiques numériques et simulation
 +  * ECTS credits: see explanation above
 +  * ** <color red> Period: Fall-Winter Semester (from early September until end of January/early February) </color>**
 +  * Level : Undergraduate (Bachelor 4th Year) or Graduate (Master 1st Year)
 +  * Teaching hours: 30 hours (Lectures = tba hours, Tutorials = tba hours, Self-study = tba hours) 
 +  * Language of instruction: French
 +  * Coordinator: Marie Billaud-Friess
 +  * Instructor(s): Marie Billaud-Friess, Mitra Fouladirad, Guillaume Chiavassa, Christophe Pouet
 +  * Last update 14/03/2025 by C. Pouet
 +
 +** Brief description **
 +
 +This course is an advanced course in Mathematics dealing with simulation, stochastic algorithms and Itô integration. 
 +
 +** Learning outcomes **
 +
 +  * tba
 +
 +** Prerequisites **
 +Tba
 +
 +** Assessment **
 +Tba
 +
 +** Course content **
 +  - Simulation of random variables
 +    * tba
 +  - Monte-Carlo methods
 +    * tba
 +  - Stochastic algorithms
 +     * tba
 +  - Introduction to Itô integration
 +** Bibliography **
 +
 +
 +==== Introduction to stochastic processes (available in course list 2) ====
 +** General information **
 +  * Course name in French: Introduction aux processus stochastiques
 +  * ECTS credits: see explanation above
 +  * ** <color red> Period: Fall-Winter Semester (from early September until end of January/early February) </color>**
 +  * Level : Undergraduate (Bachelor 4th Year) or Graduate (Master 1st Year)
 +  * Teaching hours: 30 hours (Lectures = tba hours, Tutorials = tba hours, Self-study = tba hours) 
 +  * Language of instruction: French
 +  * Coordinator: Mitra Fouladirad
 +  * Instructor(s): Mitra Fouladirad, Thibaut Le Gouic
 +  * Last update 14/03/2025 by C. Pouet
 +
 +** Brief description **
 +
 +This course is an advanced course in Mathematics dealing with random processes. 
 +
 +** Learning outcomes **
 +
 +  * tba
 +
 +** Prerequisites **
 +Tba
 +
 +** Assessment **
 +Tba
 +
 +** Course content **
 +  - Conditional expectation
 +    * tba
 +  - Markov chains
 +    * tba
 +  - Poisson process
 +     * tba
 +** Bibliography **
 +
 +==== Advanced analysis (available in course list 1) ====
 +** General information **
 +  * Course name in French: Analyse mathématique
 +  * ECTS credits: see explanation above
 +  * ** <color red> Period: Fall-Winter Semester (from early September until end of January/early February) </color> **
 +  * Level : Undergraduate (Bachelor 4th Year) or Graduate (Master 1st Year)
 +  * Teaching hours: 30 hours (Lectures = tba hours, Tutorials = tba hours, Self-study = tba hours) 
 +  * Language of instruction: French
 +  * Coordinator: Magali Tournus
 +  * Instructor(s): Magali Tournus
 +  * Last update 01/04/2022 by C. Pouet
 +
 +** Brief description **
 +
 +This course is an advanced course in Mathematics dealing with functional analysis. 
 +
 +** Learning outcomes **
 +
 +  * tba
 +
 +** Prerequisites **
 +Tba
 +
 +** Assessment **
 +Tba
 +
 +** Course content **
 +  - Tba
 +    * tba
 +** Bibliography **