| Code |
В03015В |
| Course unit |
Special sections of higher mathematics |
| Nomber of credits ECTS |
3.0 |
| Language of education |
Ukrainian |
| Learning outcomes of course unit |
-
- Basic elementary functions of a complex variable. Concept of analytical function, differential. Concept of a series in the complex plane, a Loran series, residues.
- Concept of series, integral and Fourier transform.
- Functions-original. Image functions. Properties of operational arithmetic. Inverse Laplace transform. Concept of integral equations.
- Concept of lattice function, image function, discrete Laplace transforms (DLT). Basic theorems of DLT. Z-transform. Stability of the solution of differential equations.
-
- Integrate functions of a complex variable. Expand the functions into a Laurent series. Search for residues functions.
- Expand functions into a series and a Fourier integral both in the real and in the complex area.
- Solve differential equations by the operational method.
- Solve difference equations using discrete Laplace transform and Z-transform.
|
| Types of educational work |
lecture classes, practical classes, performance of calculation and graphic work. |
| Type of final control |
|
| Content of course unit |
- Elements of the theory of the function of a complex variable.
- Fourier series and transformations.
- Laplace transform and operational calculus.
- Discrete transformations.
|
| Equipment (if applicable) |
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