Complex functions of real variable and of a complex variable. Complex
differentiation, conformed mappings. Cauchy integral theorem Complex series:
power series, Taylor and Laurent series. The residue theorem.
Convolution sequences and of continuous function. The Laplace Transform,
Inverse Laplace Transform. Continuous orthogonal systems of Function. Fourier
series. Generalized Fourier series. The Fourier Transform. Applications. The
Z – Transform.