Coursebooks

Calculus of variations

MATH-437

Lecturer(s) :

Stra Federico

Language:

English

Summary

Introduction to classical Calculus of Variations and a selection of modern techniques.

Content

Keywords

calculus of variations, optimization, minimization, Euler-Lagrange equations, first variation, direct method, Lagrangian, functional analysis, Sobolev spaces, minimal surfaces, convexity, existence, uniqueness, regularity.

Learning Prerequisites

Required courses

Recommended courses

Important concepts to start the course

The students are required to have sufficient knowledge on real analysis and measure theory. Having taken a course on functional analysis or Sobolev spaces will be an advantage.

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

Lectures + exercises.

Assessment methods

Oral exam.

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Supervision

Assistants Yes
Forum No

Resources

Virtual desktop infrastructure (VDI)

No

Bibliography

Ressources en bibliothèque
Notes/Handbook

In the programs

Reference week

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21-22     
Under construction
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German