Lectures: Order theory (numerical, functional, degree and Fourier orders). Integral transformations (improper integral, Laplace and Fourier transform). Integrals (double, triple, curved line and surface integral. Formulas for connections). Field theory (vector function for one or more variables, limit value, continuity, extension. Scalar fields, extension in direction, gradient, Hamilton operator. Vector fields, rotor, divergence, work, circulation, flux). Partial differential equations (PDE of first order. PDE of second order, hyperbolic, parabolic and elliptic equations. Numerical calculations of PDE). Practice classes: At practice, adequate examples from the theoretical classes are solved in order to practice the course content, and thus, practice classes contribute to the understanding of the course content.