.
.
.
.
.
.
.
.
.
.
.
.

Mathematical methods for engineering


Denominazione del corso: Mathematical methods for engineering
Corso di studi: I4W - Laurea magistrale in Ingegneria Matematica
Quadrimestre/Semestre:
Anno:
Numero di moduli: 1
Crediti: 3
Ore: 30
Tipologia: B - Attivitą caratterizzanti
Struttura: monodisciplinare
Settore Scientifico Disciplinare: MAT/05 (Analisi Matematica)


Programma sintetico del corso:

Complex plane, main complex functions and their characteristics, holomorphic functions, properties of holomophic functions, Cauchy - Riemann equations, zeros of holomorphic functions, power series, analyticity of holomorphic functions, complex path integrals, Cauchy Theorem, Cauchy Formulas, isolated singularities , Laurent series, residues, Residue theorem, Jordan Lemma (both versions), applications to the calculus of real and complex integrals, Fourier transform, Riemann-Lebesgue Theorem, properties, Fourier anti-transform, Fourier transform and convolution, Parseval Identity, applications, Laplace transform, the set of Laplace transformable functions, holomorphicity of of the transformed function, properties, Laplace transform and convolution, Laplace anti-trasform, applications.


Link Verifica la presenza di materiale didattico sul sito ELearning@AQ