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COMPLEMENTARY PRINCIPLES OF MATHEMATICAL ANALYSIS

Academic year and teacher
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Versione italiana
Academic year
2022/2023
Teacher
OSCAR ASCENZI
Credits
6
Didactic period
Primo Semestre
SSD
MAT/05

Training objectives

Aim of the course is to provide the basic tools of Ordinary differential equations with constant coefficients and linear partial differential equations. Heat equation, wave equation.

Prerequisites

Basic course of Analysis and Geometry

Course programme

Complex Numbers. Ordinary equation with constant coefficients.Series of functions. Fourier series. Laplace transform. Laplacian in polar coordinates.
Solution of the heat equation and wave in an interval and the solution of the heat equation on the half-line.

Didactic methods


lectures

Learning assessment procedures

Written exam for written exercises and theory.

Reference texts

M. Bramanti, C. D. Pagani, S. Salsa: "Matematica -- Calcolo
infinitesimale e algebra lineare", Zanichelli, seconda edizione, 2004.
Handouts distributed by the teacher.