Learning outcomes of the course unit
Aim of the course is to present some mathematical methods useful in the treatment of problems arising in Applied Sciences, and also to enlarge the knowledge of the basic calculus.
Calcolo I, II, III
Course contents summary
Series of functions. Puntual and uniform convergence, power series, Fourier series and applications.
Fourier transform and integral. Definitions, properties, examples. Distributions, Dirac’s delta. Laplace transform.
Functions of complex variable: and applications. Cauchy’s theorem and formula, Laurent’ and Taylor’s series, Jordan’s lemma.
C.D. PAGANI, S. SALSA, Analisi Matematica Vol. 2, MASSON;
L. AMERIO, Funzioni analitiche e trasformata di Laplace, POLITECNICA C. TAMBURINI;
G. SPIGA, Problemi matematici della Fisica e dell’Ingegneria, PITAGORA;