First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
MATHEMATICS
Course unit
CALCULUS OF VARIATIONS
SCP3050978, A.A. 2015/16

Information concerning the students who enrolled in A.Y. 2015/16

Information on the course unit
Degree course Second cycle degree in
MATHEMATICS
SC1172, Degree course structure A.Y. 2011/12, A.Y. 2015/16
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Degree course track GENERALE [010PD]
Number of ECTS credits allocated 8.0
Type of assessment Mark
Course unit English denomination CALCULUS OF VARIATIONS
Website of the academic structure http://matematica.scienze.unipd.it/2015/laurea_magistrale
Department of reference Department of Mathematics
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge DAVIDE VITTONE MAT/05

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses MAT/05 Mathematical Analysis 8.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Practice 4.0 32 68.0 No turn
Lecture 4.0 32 68.0 No turn

Calendar
Start of activities 01/10/2015
End of activities 28/01/2016
Show course schedule 2019/20 Reg.2011 course timetable

Examination board
Board From To Members of the board
6 Calcolo delle Variazioni - a.a. 2018/2019 01/10/2018 30/09/2019 MARTINAZZI LUCA MASSIMO ANDREA (Presidente)
VITTONE DAVIDE (Membro Effettivo)
MARICONDA CARLO (Supplente)
RAMPAZZO FRANCO (Supplente)
SORAVIA PIERPAOLO (Supplente)
5 Calcolo delle Variazioni - 2017/2018 01/10/2017 30/09/2018 MONTI ROBERTO (Presidente)
VITTONE DAVIDE (Membro Effettivo)
MARICONDA CARLO (Supplente)
RAMPAZZO FRANCO (Supplente)
SORAVIA PIERPAOLO (Supplente)
4 Calcolo delle Variazioni - 2016/2017 01/10/2016 30/11/2017 MONTI ROBERTO (Presidente)
VITTONE DAVIDE (Membro Effettivo)
MARICONDA CARLO (Supplente)
RAMPAZZO FRANCO (Supplente)
SORAVIA PIERPAOLO (Supplente)
3 Calcolo delle Variazioni - a.a. 2015/2016 01/10/2015 30/09/2016 VITTONE DAVIDE (Presidente)
RAMPAZZO FRANCO (Membro Effettivo)
MARICONDA CARLO (Supplente)
MONTI ROBERTO (Supplente)
SORAVIA PIERPAOLO (Supplente)

Syllabus
Prerequisites: The Analysis 1 and 2 and the Real Analysis courses
Target skills and knowledge: Basic notions of Geometric Measure Theory and of classical Caluculus of Variations.
Examination methods: To be decided
Assessment criteria: The teacher will ascertain the student's proficiency in the course's main subjects
Course unit contents: Introduction to Geometric Measure Theory: Hausdorff measures, rectifiable sets, area and coarea formulae, BV functions and finite perimeter sets and their fine properties.

Introduction to the classical Calculus of Variations: direct methods, Euler-Lagrange equations, applications.

Further arguments and applications will be decided also depending on the audience's interests.
Planned learning activities and teaching methods: Blackboard lessons
Additional notes about suggested reading: The reference material will be communicated during the course
Textbooks (and optional supplementary readings)