# Calculus of variations

lmat2250  2019-2020  Louvain-la-Neuve

Calculus of variations
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.
5 credits
30.0 h + 15.0 h
Q2

This biannual learning unit is not being organized in 2019-2020 !

Teacher(s)
Ponce Augusto;
Language
French
Prerequisites

LMAT1321 - analyse fonctionnelle et équations aux dérivée partielles (troisième année de bachelier en sciences mathématiques) ou cours équivalent.
LMAT2130 - équations aux dérivée partielles 1 (première année de master en sciences mathématiques) ou cours équivalent.
Main themes

Direct method of the calculus of variations, minimax methods, symmetry properties of
optimal 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:   - Recognise the fundamental concepts of important current mathematical theories. - Establish the main connections between these theories, analyse them and explain them. - Recognise the fundamental concepts of important current mathematical theories. - Identify the unifying aspects of different situations and experiences. - Argue within the context of the axiomatic method. - Construct and draw up a proof independently, clearly and rigorously. - Write a mathematical text in French 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 himself relevant and lucid questions on a mathematical topic in an independent manner. Learning outcomes specific to the course (en fonction des thèmes traités). Initiate to the current research in minima and critical points of integral functionals.

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”.
Content
Variable
Teaching methods
Lectures , writing and criticism of both activities.
Evaluation methods
Evaluation of lectures, writing and criticism
Faculty or entity
MATH

#### Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Aims
Master [120] in Mathematics

Master [60] in Mathematics

Master [60] in Physics

Master [120] in Physics