| Operations with complex numbers. Topology in C.
| Monogenic functions. The Cauchy-Riemann conditions.
| Holomorphic functions. Elementary functions.
| The complex integral. Cauchy’s integral theorem and integral formula. Taylor and Laurent series.
Singular points, classification.
| Taylor series. Laurent series.
| The Residue Theorem. Applications.
| The integral Fourier transform. Definition and properties.
| Convolution product. Applications of the Fourier transform.
| The discrete Fourier transform. Definition and properties
| The Laplace transform. Definition and properties.
| The inverse Laplace transform. Properties.
| Applications of the Laplace transform.
| The z transform. Definition, properties. Applications.
| Notions of Distribution theory.
