Program/Syllabus of 2017/2018

04/05/2017

PRESENTATION OF THE COURSES

The second year of Master in Mathematics Research and Innovation at Université de Toulouse
performs a high level training in Pure and Applied Mathematics.
Our program offers several courses and research specialisation in
– Pure Mathematics;
– Partial Differential Equations (PDE), Numerical Analysis and Control Theory;
– Probability and Statistics.

Here below we provide the list of the courses planned for the academic year 2017/2018 (some of the courses might change 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. 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  2017/2018.

BASIC COURSES

A1.    An introduction to discrete holomorphic dynamics.  (J. Raissy and X. Buff) SyllabusA1

A2.    An introduction to vector bundles and K-theory. (P. Carrillo-Rouse)  SyllabusA2

A3.    An introduction to complex geometry. (D. Popovici)    SyllabusA3

A4.     Introduction to partial differential equations (PDE).*  (J.M. Bouclet and M. Maris)   SyllabusA4

A5.     Elliptic PDE’s and calculus of variations. (P. Bousquet and R. Ignat) SyllabusA5

A6.     Approximation of PDE’s. (G. Haine, D. Matignon, M. Salaun and F. Rogier) SyllabusA6

A7.     Convergence of probability measures, functional limit theorems and applications. (F. Chapon and R. Chhaibi) SyllabusA7

A8.     Stochastic calculus. (A. Reveillac ) SyllabusA8

A9.     Asymptotic statistics and modeling. (F. Gamboa and T.KleinSyllabusA9

 

ADVANCED COURSES

B1.      An introduction to Hodge theory. (M. Bernardara) SyllabusB1**

B2.     Kähler-Einstein metrics on compact Kähler manifolds (A. Zeriahi) SyllabusB2

B3.     Controllability of parabolic PDEs: old and new. (F. Boyer)   SyllabusB3

B4.     Kinetic theory and approximation (F. Filbet) SyllabusB4

B5.     Stochastic optimization algorithms, non asymptotic and asymptotic behaviour. (S. Gadat) SyllabusB5

B6.     Mathematics and Biology. (P. Cattiaux and M. Costa) SyllabusB6

 

READING SEMINARS

C1.     Pure mathematics. (F. Costantino)

C2.     Numerical analysis of problems involving nonlinear boundary conditions. (P. Hild) SyllabusC2

C3.     Ginzburg-Landau vortices. (N. Godet and X. Lamy) SyllabusC3

C4.     Markov Processes. (A. Joulin and G. Fort) Syllabus C4

 

 

 * This course is 36h. The first 6hours consist in a refresher mini-course. All students of courses A4,A5 ,A6 have to attend this mini-course.

** This course might change

 

 

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