Secretariat for Master of Mathematics
- Mzia Goguadze
- office D200
- 01 49 40 28 10
Formation | M1 Fundamental and applied mathematics |
Semester | 2 |
Teaching staff | Lecturer : Jean-Marc Delort, Thomas Duyckaerts, Vuk Mlisic, Francis Nier , TA : |
Credits | 6 ECTS |
Teaching hours | 30h of lectures + 30h of TA sessions |
Validation scheme | Final exam |
The first half of the course is a core curriculum; we then offer two options.
Common core: Series and Fourier transform. Hilbertian theory of the Fourier series, Sobolev spaces on the torus. Fourier transform, Schwartz space and its dual space of temperate distributions.
Fundamental option: Distributions. Topologies on regular function spaces. Distributions on an open space in Euclidean space. Convolution. Elementary solutions of partial differential equations with constant coefficients and applications.
Applied option: Signal processing. Discrete Fourier transform. Fast Fourier transform. Sampling. Shannon's theorem. Analog and discrete filters.