First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
MATHEMATICS
Course unit
ADVANCED ANALYSIS
SCP6076557, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
MATHEMATICS
SC1172, Degree course structure A.Y. 2011/12, A.Y. 2017/18
N0
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Degree course track GENERALE [010PD]
Number of ECTS credits allocated 8.0
Type of assessment Mark
Course unit English denomination ADVANCED ANALYSIS
Website of the academic structure http://matematica.scienze.unipd.it/2017/laurea_magistrale
Department of reference Department of Mathematics
Mandatory attendance No
Language of instruction English
Branch PADOVA

Lecturers
Teacher in charge GIOVANNI COLOMBO MAT/05

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

Mode of delivery (when and how)
Period First semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
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 02/10/2017
End of activities 19/01/2018

Syllabus
Prerequisites: Basic functional and Real Analysis.
Target skills and knowledge: Mastering advanced techniques of linear and nonlinear functional analysis.
Examination methods: Oral exam.
Assessment criteria: Mathematical maturity and knowledge of the topics.
Course unit contents: Theory of Distributions.
Convex Analysis.
Ekeland's Variational Principle and some of its applications.
PDE's of geometric type.
Planned learning activities and teaching methods: Traditional lectures, that will be in English on demand.
Additional notes about suggested reading: A .pdf file of all lectures will be posted in the course website.
Textbooks (and optional supplementary readings)
  • Grubb, Gerd, Distributions and operators. New York: Springer, --. Cerca nel catalogo
  • Ekeland, Ivar; Temam, Roger, Convex analysis and variational problems. Philadelphia: SIAM, --. Cerca nel catalogo
  • Ambrosetti, Antonio; Malchiodi, Andrea, Nonlinear analysis and semilinear elliptic problems. Cambridge: Cambridge University Press, --. Cerca nel catalogo