Corso Vittorio Emanuele II, 39 - Roma 0669207671

Ingegneria Informatica/Computer engineering (Academic Year 2008-2009)

Complex Analysis


Credits: 5
Content language:Italian
Course description
Introduction to complex variable functions and Fourier and Laplace transforms.
Prerequisites
Real functions in one and several variables.
Program
  • Analytic functions: derivatives, the Cauchy-Rieman equations. Definite integrals, the Cauchy theorem. Residues, the residue theorem, the Cauchy integral formula. Taylor and Laurent series.
  • Distribution theory: introduction, Dirac distribution, convolution product for functions and distributions.
  • Fourier transform of functions and distributions: properties of the transformation and of its inverse.
  • Laplace transform: range, elementary properties. Applications to the solution of linear differential systems
Professor/Tutor responsible for teaching
Alessandro Verra
Video professors
Prof. Simon Salamon - Politecnico di Torino (Torino - Italy)
List of lessons
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