Programme/Syllabus 2019-2020

23/02/2019

PRESENTATION OF THE COURSES

The second year of Master in Mathematics Research and Innovation at Université de Toulouse provides a high level training in Pure and Applied Mathematics.
Our program offers several courses and research specialisation in
– Algebra, Dynamics, Geometry and Topology;
– Partial differential equations, Numerical analysis, Control theory, Optimisation and applications;
– Probability and Statistics.

Here below we provide the list of the courses planned for the academic year 2019/2020 (more details will be announced in the next month). If you are interested in our M2 you are welcome to contact us for more information.

ATTENTION: Check immediately the inscription page of Université Paul Sabatier and fill immediately the pre-inscription form: the deadlines are approaching.

If you are from a non European country, in order to apply for a French diploma you have to pass through the interview system of Campus France BEFORE THE END OF MARCH 2019. Our Master appears currently in the Campus France system as « Master professionnel Sciences, technologies, santé mention mathématiques et applications parcours Recherche et Innovation » in Toulouse Université Paul Sabatier.

Recall that the standard curriculum contains 3 basic courses (denoted Ax), 2 advanced courses (denoted By), a reading seminar course (denoted Cz), an english course and a dissertation.

Each student can choose among the following list of courses or propose to replace at most one course each term by another course offered in another M2. To become definitive, this choice has to be approved by one of the faculties in charge.

 

LIST OF COURSES  2019/2020.

BASIC COURSES

A1.    Holomorphic dynamics in dimension one : an introduction.  (F. Berteloot) Syllabus A1

A2.    An introduction to complex geometry. (E. Legendre)  SyllabusA2

A3.    Introduction à la géométrie algébrique et à la théorie des nombres. (J. Gillibert) Syllabus A3

A4.     Elliptic PDEs and evolution problems (S. Ervedoza et P. Laurençot). (Syllabus A4)

A5.     Convex Analysis / Optimisation and applications. (F. Malgouyres et P. Maréchal)(Syllabus A5)

A6.     Discretization of PDEs* :

A7.     Convergence of probability measures, functional limit theorems and applications. (P. Fougères, P. Petit) Syllabus A7

A8.     Stochastic calculus. (F. Barthe ) SyllabusA8

A9.     Asymptotic statistics and modeling. (F.BachocP. NeuvialSyllabusA9

 

ADVANCED COURSES

B1.      Holomorphic dynamics in dimension one : some advanced topics. (P.Roesch) Syllabus B1

B2.     Deformation thery of compact complex manifolds (D. Popovici) Syllabus B2

B3.     Theoretical and numerical analysis of dispersive PDEs (C. Besse et S. Le Coz) (Syllabus B3)

B4.     Qualitative studies of PDEs : a dynamical system approach (G. Faye) (SyllabusB4)

B5.     Learning. (E. Pauwels) SyllabusB5

B6.     Systems of particules. (R. Chhaibi) SyllabusB6

 

READING SEMINARS

C1.     Riemann Surfaces. (F. Costantino) Syllabus C1

C2.     PDEs and applications. (J.F. CoulombelA. Trescases, F. De Gournay) Syllabus C2

C3.     Stein method and Applications. (M. Fathi, G. Cebron) SyllabusC3

 

 

 * This course will be composed of two mandatory courses

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