italian version

Aims :

To give base knowledge about Complex Analysis, and the ability to practically use Laplace transform, Fourier Transform and Z-transform.

Topics :

Functional sequence:Uniform convergence; Integrals dependent on a parameter; Improper integrals dependent on a parameter ; Euler integrals : Gamma and Beta functions.
Fourier series and Fourier Integral;The Fourier Transform; Distributions; The Fourier Transform of Distributions; Applications: The impulse response; The frequency response; Boundary and Initial value Problems for Partial Differential Equations.
Single-valued functions of a complex variable: Differentiation and Itegration; Cauchy ' s Integral theorem; Taylor Series, Laurent Series; Singular Points and Zeros; Cauchy 's Residues Theorem; Behaviour of a Function at Infinity; Logarithmic Residues; Z-Transform; The Inverse Z-transform of Rational Functions; Convolution.

Textbooks :

M. CODEGONE: Metodi Matematici per l'ingegneria - Zanichelli
M. R. SPIEGEL: Trasformate di LaPlace-McGraw-Hill.
M.L. KRASNOV: Funzioni di una variabile complessa e loro applicazioni -M.I.R.

Exam :

Written/oral exam

Tutorial Session :

To agree to the beginning of the course.