French version

# MASTER ''Mathematical Modelling''

# Ecole Polytechnique and Université Pierre et Marie Curie

# M2: basic course taught by G. Allaire for the academic year 2015-2016

# Functional analysis and applications

** This course will be taught in English, see
for the French version.
It takes place in the Monge amphitheater at Ecole Polytechnique, every Thursday from 09H30 to 12H30 and from 13H30 to 15H30 (from 9/10/2015 to 10/15/2015). **
To find the Monge amphitheater look at the map on page 3 of
this document.

This course is devoted to functional analysis and some applications,
including partial differential equations.
Each slot features 3 hours of courses and 2 hours of working exercises.
At the end of each class (except the first one) a short written exam
will take place. The final grade will be a combination of the grades
obtained at those short exams.

**Contents ** (A more detailed list of contents is available
here.)

#### Short bibliography

#### Exercises (by Nicole Spillane, based on earlier notes of Olivier Pantz)

Every week the new exercise sheet is posted on this web page. The solutions are posted one week later.

#### Written exam

The written exam for this course will take place at Ecole Polytechnique on Thursday, January 7th, 2016, from 2pm to 5pm. The exam will take place in the seminar room of CMAP, 3rd floor, wing 0 of the laboratories. For access
see this web page.