- Docente: Antonio Bove
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mathematics (cod. 8208)
Course contents
The course should be an introduction to the theory of Partial Differential Equations (PDEs) for students majoring in both pure and applied mathematics.
The main topics will be:
Fundamental solutions of some classical PDEs; wave, heat equation, Laplace equation, Cauchy-Riemann and Schroedinger equation. Some classical integration methods will also be covered for these equations as well as for their boundary value problems. Furthermore vector fields and the first concepts in the theory of the Cauchy problem will also be treated pending time availability.
Readings/Bibliography
1- L. Hoermander, Linear Partial Differential Operators, Springer 1963.
2- F. Treves, Basic Linear Differential Equations, Dover
3- I. M. Gel'fand, G. Shilov, Theory of distributions
Further readings and complements will be suggested in class.
Teaching methods
The general theory is supported by a number of problems as well as applications. This should provide the students with an applied math major of a sufficient background in their dicipline.
Assessment methods
1- Homework at pre-determined time intervals.
2- Problems solved in class by the teacher as well as by the students.
3- Written and oral exam. The latter always starts from the exposition of some (relevant) topic chosen by the student.
Teaching tools
Both class tests and homework.
Office hours
See the website of Antonio Bove