Partial differential equations (2016/2017)

Course code
4S001097
Name of lecturer
Giandomenico Orlandi
Coordinator
Giandomenico Orlandi
Number of ECTS credits allocated
6
Academic sector
MAT/05 - MATHEMATICAL ANALYSIS
Language of instruction
English
Period
II sem. dal Mar 1, 2017 al Jun 9, 2017.

Lesson timetable

II sem.
Day Time Type Place Note
Tuesday 11:30 AM - 1:30 PM lesson Lecture Hall M  
Thursday 11:30 AM - 1:30 PM lesson Lecture Hall M  

Learning outcomes

The course aims to give an introductory overview of the theoretical aspects of those fundamental partial differential equations that arise as important models to describe phenomena (diffusion, transport, reaction, wave propagation) in Physics, Biology, economical/social sciences and data analysis.

Syllabus

Fundamental examples of first order and second order PDEs (transport, Hamilton-jacobi, Laplace, heat, wave and Schrödinger). Classical and weak solutions. Representation formulae through Green functions or series expansions. Second order elliptic, parabolic and hyperbolic equations (Existence, uniqueness, stability and comparison principles). Variational methods.

Assessment methods and criteria

Oral presentation of selected topics of the course program together within an individual project to be agreed with course instructors.

Teaching aids

Documents

STUDENT MODULE EVALUATION - 2016/2017