Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 15.0 h
Q2
Teacher(s)
Ponce Augusto;
Language
French
Prerequisites
Students are expected to have followed an introduction to functional analysis or partial differential equations such as
LMAT1321 - Analyse fonctionnelle et équations aux dérivées partielles, ou
LINMA1315 - Compléments d'analyse, ou
LMAT2130 - Equations aux dérivées partielles 1 : équations de Poisson et de Laplace
LMAT1321 - Analyse fonctionnelle et équations aux dérivées partielles, ou
LINMA1315 - Compléments d'analyse, ou
LMAT2130 - Equations aux dérivées partielles 1 : équations de Poisson et de Laplace
Main themes
Study of partial differential equation based on methods from real analysis, harmonic analysis, functional analysis and measure theory. The goal is to establish the existence, uniqueness and qualitative properties of solutions.
Aims
At the end of this learning unit, the student is able to : | |
| 1 |
Contribution of the course to learning outcomes in the Master in Mathematics programme. By the end of this activity, students will have made progress in: - Independently acquire and use new knowledge and skills throughout his professional life. - Show evidence of abstract thinking and of a critical spirit. - Argue within the context of the axiomatic method. - Construct and draw up a proof independently, clearly and rigorously. - Write a mathematical text according to the conventions of the discipline. - Structure an oral presentation and adapt it to the listeners' level of understanding. - Find sources in the mathematical literature and assess their relevance. - Correctly locate an advanced mathematical text in relation to knowledge acquired. - Ask relevant and lucid questions on an advanced mathematical topic in an independent manner. Learning outcomes specific to the course. By the end of this activity, students will be able to: - Illustrate the problems studied in the course through applications. - Provide some mathematical information on solutions of partial differential equations, including existence, uniqueness and qualitative properties. - Apply techniques of real analysis, harmonic analysis, functional analysis and measure theory to study partial differential equations. - Interpret mathematical theorems in the setting of modeling problems |
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Teaching materials
- matériel sur moodle
Faculty or entity
MATH
Programmes / formations proposant cette unité d'enseignement (UE)
Title of the programme
Sigle
Credits
Prerequisites
Aims
Master [120] in Mathematical Engineering
