Scheda programma d'esame
ISTITUZIONI DI ANALISI MATEMATICA
PIETRO MAJER
Anno accademico2016/17
CdSMATEMATICA
Codice135AA
CFU9
PeriodoSecondo semestre
LinguaItaliano

ModuliSettoreTipoOreDocente/i
ISTITUZIONI DI ANALISI MATEMATICAMAT/05LEZIONI63
PIETRO MAJER unimap
Programma non disponibile nella lingua selezionata
Learning outcomes
Knowledge
The student who successfully completes the course will be able to demonstrate a solid knowledge of Functional Analysis, with some relevant applications to partial differential equations.
Assessment criteria of knowledge
In the written exam the student must demonstrate his/her knowledge of the course material and and his/her ability to apply it in exercises. In the oral exam the student must be able to demonstrate his/her knowledge of the course material and discuss it with propriety of expression.

Methods:

  • Final oral exam
  • Final written exam

Teaching methods

Delivery: face to face

Learning activities:

  • attending lectures
  • preparation of oral/written report
  • participation in discussions

Attendance: Advised

Teaching methods:

  • Lectures

Syllabus
The course will focus on: - Hilbert and Banach spaces, with the relevant results (for instance, Baire Lemma, Hahn-Banach Theorem, Banach-Steinhaus Theorem, Banach-Alaoglu Theorem); - Sobolove spaces, with the embedding and trace theorems; - Spectral Theorem for self-adjoint operators; - applications to partial differential equations.
Bibliography
H. Brezis. Analisi funzionale. Teoria e applicazioni. Liguori, Napoli, 1986.
Ultimo aggiornamento 14/11/2016 17:27