Knowledge of:

1. Basic elementary functions of a complex variable. Concept of analytical function, differential. Concept of a series in the complex plane, a Loran series, residues.
2. Concept of series, integral and Fourier transform.
3. Functions-original. Image functions. Properties of operational arithmetic. Inverse Laplace transform. Concept of integral equations.
4. Concept of lattice function, image function, discrete Laplace transforms (DLT). Basic theorems of DLT. Z-transform. Stability of the solution of differential equations.

Skills to:

1. Integrate functions of a complex variable. Expand the functions into a Laurent series. Search for residues functions.
2. Expand functions into a series and a Fourier integral both in the real and in the complex area.
3. Solve differential equations by the operational method.
4. Solve difference equations using discrete Laplace transform and Z-transform.

1. Elements of the theory of the function of a complex variable.
2. Fourier series and transformations.
3. Laplace transform and operational calculus.
4. Discrete transformations.