The study course deals with the methods used in the implementation of electrical technologies in various sectors of economy. The study course deals with methods for solving line integrals and surface integrals. Field theory and complex variable function theory are considered in the study course. An insight in integral transforms, its basic properties and applications are given in the study course.
Course contents:
- Line integrals of the first and second type.
- Function of a complex variable. Continuity, limit, derivative. Cauchy-Riemann conditions.
- Cauchy' s theorem. Integral. Series. Taylor and Laurent series.
- Residue. Application of residues for calculation of integrals.
- Laplace transform. Inverse transform. Application of Laplace transform to the solution of differential equations.
- Surface integrals of the first and second kind.
- Scalar field. Directional derivative. Gradient. Vector field. Flux and divergence of a vector field.
- Circulation of a vector field. Stokes' formula. Curl of a vector field. Potential, divergence-free and curl-free fields.
