Fourier series. Line and surface integrals. Elements of complex variable theory: Complex variables and functions of complex variable. Cauchy’s theorem and Cauchy’s integral formula. Elements of field theory: Scalar and vector field. Directional derivatives, gradient, vector field flux, work, circulation, divergence, rotor, Gauss-Ostrogradsky and Stokes' formula. Operator calculus: Laplace transform, its properties and applications.