The Master 2 Analysis of Deterministic and Random Models (ANADEAL), which follows on from the Master 2 Applied Mathematics CEPS, is part of the Mathematics and Applications specialization. This Master's degree covers the research themes of the Applied Analysis and ALEA groups at the Institut de Mathématique de Marseille (I2M), and aims to train students in the dual skills of deterministic and random models and methods, from both theoretical and numerical perspectives.
New: ANADEAL course to open in September 2024
| S3: only compulsory UEs Review week: Intensive Python 15h = 3 x 5h end September (if funding available) EDP 1+2 (6 credits, UE split into 2) Numerical Analysis 1 and 2 (6 credits, UE split into 2) Probability and Markov Models (2x3 = 6 credits) Fundamentals of Statistics and Machine Learning (2x3 = 6 credits) English (3 credits) PPPE (3 credits) |
S4: internship (18 credits) Transverse 1: Brownian motion and stochastic differential equations (3 credits) |
Pedagogy
AIMS
The CEPS Applied Mathematics programme offers a generalist education in applied mathematics with courses in PDE, scientific computation, probability and statistics while emphasising the interaction between theoretical, numerical and applied aspects on the one hand and the concepts and methods of the other;The course emphasises the interaction between theoretical, numerical and applied aspects on the one hand and deterministic and algebraic concepts and methods on the other.
This highly modular course allows each student to orientate his or her training according to his or her preferences around one of the following four typical profiles:
The course is based on a combination of the two.
- EDP (theoretical, numerical and applied aspects)
- Probability and statistics (theoretical, numerical and applied aspects)
- Theory of PDEs, probabilities and statistics.
- Democratic and algebraic numerical methods, applied statistics
Research plays a central role in this business-oriented course. Graduates of this course are therefore destined to continue their studies in doctoral theses or to occupy positions at the engineering level.
FUNDAMENTAL PREREQUISITES
The prerequisites correspond to the skills acquired in a M1 in mathematics (or equivalent level: e.g. in an engineering school), a mastery of the fundamental notions of analysis and probabilities will be required.
FUNDAMENTAL PREREQUISITES
Some knowledge of PDE, stochastic processes, numerical or statistical analysis will be learned, as well as experience in using scientific computing software.
LEARNING SITES
- SCIENCES, Télé-enseignement
- SCIENCES, Marseille St-Charles
LEARNING AND RESEARCH
The CEPS Applied Mathematics programme is a high-level scientific training programme in applied mathematics with a dual purpose of research training and professionalization. It is supported by a dynamic teaching team composed of members of the Institut de Mathématiques de Marseille (I2M) and thus relies on the activities and skills of the I2M, but also on its collaborations with institutes and companies.
PROFESSIONAL SKILLS TO BE ACQUIRED
At the end of their training, students will have acquired a variety of mathematical, theoretical and/or numerical concepts and will know how to articulate them, enabling them to study physical, biological and technological models, etc.
More specifically, the competences aimed at are:
Specifically
- Modifying phenomena from the natural sciences or the humanities
- Mobilise knowledge for the theoretical study of deterministic or algebraic problems
- Choose appropriate deterministic or algebraic tools for the exact or approximate solution of a problem
- Programming numerical methods that are deterministic or algebraic
INTERNSHIPS AND SUPERVISED PROJECTS
Students will have to carry out an internship of a minimum duration of 8 weeks in a research laboratory, a research centre or a company. The internship will lead to the writing of a dissertation and an oral presentation.
SEEKED CAREERS
NSF DOMAINS
- 114B Modèles mathématiques ; Informatique mathématique (fr)
- 114C Mathématiques de la physique, de la chimie, de la biologie (fr)
- 114G Mathématiques de l'informatique, mathématiques financières, statistique de la santé (fr)
SEEKED CAREERS
Information non disponibleLEARNING COURSES LIST
Admissions
ADMISSION CONDITIONS
The admission is done, depending on the situation, either via the e-candidat system or via Campus France (for students residing in a CEF country). Recruitment is initially based on applications (from March), and then, for successful applicants, by an individual interview (April-July).
The recruitment process is based on the student's application.
SCHOOL REGISTRATION
Typical courses can be access by- Initial Formation
- Continious formation
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Masterclass May 24-25, 2024
Presentation:
The Master 2 Analysis of Deterministic and Random Models (ANADEAL), which follows on from the Master 2 Applied Mathematics CEPS, is part of the Mathematics and Applications specialization. This Master's degree covers the research themes of the Applied Analysis and ALEA groups at the Institut de Mathématique de Marseille (I2M), and aims to train students in the dual skills of deterministic and random models and methods, from both theoretical and numerical perspectives.
To promote this Master 2 program, a Master Class is organized to highlight mathematical problems arising from applications in a chosen theme, and the mathematical tools needed to solve them.
It is primarily aimed at L3, M1 and M2 mathematics students.
This year's Master Class is dedicated to the application of mathematics to biology, with the confirmed participation of José Carrillo (Oxford University and Morlet Chair at CIRM),
Florence Hubert (I2M), Anita Layton (University of Waterloo), Raphael Forien (INRAE Avignon).
The Master Class will take place over two half-days, Friday afternoon and Saturday morning.
It is open to all interested students: master's and L3 students from French and French-speaking universities or ENS, and students from engineering schools.
Financial support Mathematics Department, UFR Sciences, Aix-Marseille University.
Organization:
The Master Class will take place at the Centre International de Rencontres Mathématiques (Cirm) on the Luminy campus, on Friday afternoon May 24, 2024 and the morning of May 25, 2024. Masterclass CIRM website: https://conferences.cirm-math.fr/3250.html
Speakers:
José Carrillo (Oxford University and Morlet Chair at CIRM),
Florence Hubert (I2M)
Anita Layton (University of Waterloo)
Raphaël Forien (INRAE Avignon)
Schedule:
Friday:
14h-15h30: Raphaël FORIEN
15h30-16h: Café
16h-17h30: Anita LAYTON
17h30-17h45: M2 ANADEAL presentationSaturday:
9h-10h30: José CARRILLO
10h30-11h: Café
11h-12h30: Florence HUBERTApplication:
Interested students should pre-register on the CIRM website before May 1.
Application form:
one-page CV
grades from first semester or last year
a letter of recommendation from a current-year professor
Registration includes participation in lectures, coffee breaks on Friday afternoon and Saturday morning.
Limited possibilities for Friday evening meals at CIRM and overnight accommodation from Friday to Saturday.
Participants are responsible for their own transport.
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Masterclass June 23-24, 2023
Presentation:
The Master 2 Analysis of Deterministic and Random Models (ANADEAL), which follows on from the Master 2 Applied Mathematics CEPS, is part of the Mathematics and Applications specialization. This Master's degree covers the research themes of the Applied Analysis and ALEA groups at the Institut de Mathématique de Marseille (I2M), and aims to train students in the dual skills of deterministic and random models and methods, from both theoretical and numerical perspectives.
To promote this Master 2 program, a Master Class is organized to highlight mathematical problems arising from applications in a chosen theme, and the mathematical tools needed to solve them. It is primarily aimed at L3, M1 and M2 mathematics students.
This year's Master Class is dedicated to optimal transport, with the participation of Nicolas Juillet (Université de Haute Alsace), Thibaut Le Gouic and Magali Tournus (Ecole Centrale Marseille), and Romain Hug (I2M).
The theory of optimal transport was introduced by Monge in the 18th century, to model a very concrete problem of excavation and embankment, and considerably developed in the 20th century by the work of Kantorovitch. The very formulation of Monge's problem, mixing geometry and measurement theory, makes optimal transport a tool present in a wide variety of branches of mathematics, including the modeling of economic problems, optimization, probability, geometry in metric spaces and Riemannian varieties, etc. Numerical and algorithmic aspects have been developed in recent years, leading to applications of optimal transport to statistical learning.
The Master Class will consist of 4 lectures over two half-days, Friday afternoon and Saturday morning.
It is open to all interested students: Masters and L3 students from French and French-speaking universities or ENS, and those from engineering schools.
Organization:
The Master Class will take place at the Centre International de Rencontres Mathématiques (Cirm) on the Luminy campus, on Friday afternoon June 23, 2023 and on the morning of June 24, 2023. Masterclass CIRM website: https://conferences.cirm-math.fr/3142.html
Speakers:
Romain HUG (Aix Marseille Université), Transport optimal dynamique (et ses variantes) : résolution numérique d'un problème d'optimisation sous contrainte convexe.
Nicolas JUILLET (Université de Haute Alsace), The martingale transport problem
Optimal transport theory is a rich field at the interface of several mathematical and scientific domains which, after a slow crystallization, experienced a boom at the end of the last century.
In these two presentations, I will illustrate its use in probability theory, in particular with the subfield of martingale transport.
Thibaut LE GOUIC and Magali TOURNUS (Ecole Centrale de Marseille), introduction to optimal transport, barycenters and gradient flow in Wasserstein space.
Schedule:
Friday June 23:
2 - 3:30 pm: Thibaut LE GOUIC and Magalie TOURNUS
3:30pm-4pm: Coffee
16h-17h: Nicolas JUILLET
17h-17h15: M2 ANADEAL presentation
Saturday June 24th:
9h-10h30: Nicolas JUILLET
10h30-11h: Coffee
11h-12h: Romain HUG
Application form:
Interested students should pre-register on the CIRM website.
Application form:
one-page CV
grades from first semester or last year
a letter of recommendation from a current-year professor
Registration includes participation in lectures, and coffee breaks on Friday afternoon and Saturday morning.
Limited possibilities for Friday evening meals at CIRM and overnight accommodation from Friday to Saturday.
Participants are responsible for their own transport.
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Masterclass June 24-25, 2022
Presentation:
The Master 2 Applied Mathematics CEPS program focuses on Scientific Calculus, Partial Differential Equations, Probability and Statistics, with natural and fertile interactions between these disciplines. Each year, the second-semester courses are given a different theme. For 2022-2023, the theme is "Maths and Health".
The aim of this Master Class is to give a foretaste of the M2 CEPS theme for year N+1 (2023-2024): "Mathematics and Energy".
The Master Class will highlight mathematical problems arising from applications and the mathematical tools for solving them.
The Master Class will consist of two long mathematics lectures of 1 hour 30 minutes and two shorter lectures of 45 minutes.
It is open to all interested students: Master's and L3 students from French and French-speaking universities or ENS, and those from engineering schools.
Organization:
The Master Class will take place at the Centre International de Rencontres Mathématiques (Cirm) on the Luminy campus, on Friday afternoon June 24, 2022 and on the morning of June 25, 2022. CIRM Masterclass website: https://conferences.cirm-math.fr/2910.html
Speakers:
Aubin BRUNEL, IRSN, short lecture, Numerical schemes for fluid mechanics simulation
Mitra FOULADIRAD, Ecole Centrale de Marseille, long presentation, Wind modeling and wind turbine degradation analysis
Anne NOURI, Aix Marseille Université, short presentation, Partial differential equations for energy problems
Kai SCHNEIDER, Aix Marseille Université, long paper, A characteristic mapping method for the incompressible Euler equations
Schedule:
Friday June 24:
14h-15h30: Kai SCHNEIDER
3.30 - 4 pm: Coffee
16h-17h: Anne NOURI
17h-17h15: M2 CEPS presentation
Saturday June 25th:
9h-10h30 Mitra FOULADIRAD
10h30-11h: Coffee
11h-12h Aubin BRUNEL
Application form:
Interested students should pre-register on the CIRM website.
Application form:
one-page CV
grades from first semester or last year
a letter of recommendation from a current-year professor
Registration includes participation in lectures, and coffee breaks on Friday afternoon and Saturday morning.
Limited possibilities for Friday evening meals at CIRM and overnight accommodation from Friday to Saturday.
Participants are responsible for their own transport.
