Program/Syllabus of 2016/2017

12/03/2017

PRESENTATION OF THE COURSES

Here below we provide the list of the courses planned for the academic year 2016/2017. 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  2016/2017.

BASIC COURSES

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

A2.    Sheaves and cohomology: an introduction. (J. Tapia)  SyllabusA2

A3.    Differential and algebraic topology. (T. Fiedler)    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) SyllabusA7

A8.     Stochastic calculus and Markov processes. (A. Reveillac and P. Cattiaux) SyllabusA8

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

 

ADVANCED COURSES

B1.     An introduction to Hodge theory. (M. Bernardara) SyllabysB1

B2.     Sheaves, Schemes, cohomology: an introduction (B. Toën) 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) Syllabus B5

B6.     Mathematics of machine learning. (A. Garivier and S. Gerchinovitz) SyllabusB6

 

READING SEMINARS

C1.     Pure mathematics. (F. Costantino and S. Lamy)

C2.     Regularization of ill posed inverse problems. (P. MaréchalSyllabusC2

C3.     Mathematics and Biology. (G.Faye and S. Mirrahimi) SyllabusC3

C4.     Random models. (C. Pellegrini)

 

 

 * 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.

** To be confirmed.

 

You will find here a downloadable full program of the courses.

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