Teacher

prof. Duccio PAPINI

Credits

3 CFU

Language

Italian

Objectives

The aim of the course is to give the mathematical techniques which are used by Electronic/Managerial Engineers using Fourier series, complex analysis and transforms.

Acquired skills

- Acquisition of Fourier series.
- Applying residue theorem, in particular to real integration.
- Calculating integral transforms and inverse transforms; applications to ordinary differential equations.

Lectures and exercises (topics and specific content)

Fourier series: pointwise and uniform convergence, differentiation of Fourier series, Parseval's equality, an outline of Fourier series in L2 (10 hours).
Complex Analysis: analytic functions, elementary functions, residue theorem and applications to real integration  (7 hours).
Fourier transform: rules, the transform of convolution, the inverse transform, application to ordinary differential equations (7 hours).
Laplace transform: rules, the transform of convolution, the inverse transform, applications to ordinary differential equations (6 hours).
Exercises (8 hours).

References

- Lecture notes of the course
- Metodi matematici per l'ingegneria di Codegone, Zanichelli
- The Laplace transform Theory and Applications di Schiff, Springer
- Matematica per l'ingegneria dell'informazione di Barozzi, Zanichelli 

Type of exam

Written and oral

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