Lectures: Functions of several variables (Introduction, Continuity, Limit value, Partial derivatives and differentiability, local and constrained extrema). 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). 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.