MATHEMATICAL PHYSICS I
cod. 14843

Academic year 2009/10
3° year of course - First semester
Professor
Academic discipline
Fisica matematica (MAT/07)
Field
Formazione modellistico-applicativa
Type of training activity
Characterising
56 hours
of face-to-face activities
6 credits
hub:
course unit
in - - -

Learning objectives

Mathematical methods for solutions of boundary and Cauchy problems relevant to ODEs and PDEs in Mathematical Physics.

Prerequisites

<br />First and second year mathematical tools

Course unit content

<br />Complete sets and Fourier series. Outlines on the theory of distributions. Sturm-Liouville problems, eigenvalues and eigenfunctions. Nonhomogeneous boundary problems and Green function. Classification of second-order linear partial differential equations.The Cauchy problem. First-order quasi-linear partial differential equations, solutions by method of characteristics. Second-order quasi- linear partial differential equations. An outline of weak solutions.

Full programme

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Bibliography

<br />G.Spiga, Problemi matematici della Fisica e dell'Ingegneria, PITAGORA, BOLOGNA;<br />A.N.Tichonov, A.A.Samarskij, Equazioni della Fisica Matematica, MIR, MOSCA;<br />F.G.Tricomi, Equazioni differenziali, EINAUDI,TORINO;<br />F.G.Tricomi, Istituzioni di Analisi Superiore,CEDAM,PADOVA.

Teaching methods

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Assessment methods and criteria

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Other information

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