Università telematica internazionale UNINETTUNO

MOOC Massive Open Online Courses (Academic Year 2018/2019)

Complex Analysis

Language: English
Course description
Introduction to complex variable functions and Fourier and Laplace transforms.
Real functions in one and several variables.
  • 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 not available
Video professors
Prof. Simon Salamon - Politecnico di Torino (Torino - Italy)
List of lessons
    •  Lesson n. 29: Euler formula 


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