Vai al contenuto principale

Department of Mathematics "Giuseppe Peano"

# Laurea Magistrale (M.Sc.) in Stochastics and Data Science

Oggetto:
Oggetto:

Oggetto:

## Partial differential equations

Oggetto:

Course ID
TCPDE16-17
Teacher
Prof. Sandro Coriasco (Tutor)
Modular course
Year
2nd year
Teaching period
First semester
Type
D.M. 270 TAF F - Other activities
Credits/Recognition
0
Course disciplinary sector (SSD)
MAT/05 - analisi matematica
Delivery
Class Lecture
Language
English
Attendance
Optional
Type of examination
Practice test
Oggetto:

Oggetto:

## Course objectives

To give a general overview of various methods to solve (free, boundary value, initial value) problems associated with PDEs commonly met in modelling and applications.

Oggetto:

## Results of learning outcomes

It is expeced that the students are able, at the end of the lectures, to solve basic exercises of the types examined during the lectures.

Oggetto:

## Course delivery

Standard lectures and tutorial activities in classroom.

Oggetto:

## Learning assessment methods

Solution of exercises (Practice test, optional).

Oggetto:

.

Oggetto:

## Program

The method of characteristics. First order linear PDEs in two variables, First order linear PDEs in n variables, Semilinear first order PDEs in n variables.

Second order linear, semilinear and quasilinear PDEs. Elliptic, parabolic and hyperbolic PDEs.

Methods based on (generalized) Fourier series for boundary value problems and initial value problems associated with linear PDEs.

The Fourier-Laplace method for free problems, boundary value problems and initial value problems associated with linear PDEs. Laplacian, heat and wave operators.

Oggetto:
• L.C. Evans, Partial Differential Equations. AMS (2010)
• S. Salsa, Equazioni a derivate parziali. Springer (2010)

Oggetto:

## Class schedule

DaysTimeClassroom
Monday14:00 - 16:00
Tuesday14:00 - 16:00
Wednesday14:00 - 16:00

Lessons: dal 13/09/2016 to 21/09/2016

Notes: Classes on:
- tue 13/9 11-13
- wed 14/9 14-16
- mon 19/9 14-16
- tue 20/9 14-16
- wed 21/9 14-16
in Auletta Vercelli and Novara (Nuovo Polo Didattico, Corso Unione Sovietica 218/bis)

Oggetto:

## Note

Lectures will take place in classroom Vercelli (13-14/9) and Novara (19-21/9). Please, notice that the first lecture on tue 13/9 will take place from 11:00 to 13:00.

The final assessment test will consist in the solution of some exercises of the types examined during the lectures. It has a self-evaluation character, it is fully optional and provides no credits.

Oggetto:
Last update: 27/06/2017 14:49
Location: https://www.master-sds.unito.it/robots.html