Enabling students in abstract thinking and acquiring basic knowledge in differential calculus of functions with several variables, multiple integrals, integrals over path and surfaces and field theory

The knowledge gained during this course will enable students to solve concrete problems in mathematical modelling, using the methods of differential calculus, integral theory, and field theory.

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.

Lectures, numerical – computing practice. Consultations. Lectures are held in a combined manner. The presentation of the theoretical part is supplemented by adequate examples adding to the explanations of the theoretical course content. At practice classes that follow lectures, characteristic exercises are completed and the course content in explained in more detail. Apart from lectures and practice, consultations are held regularly. A part of the course content that makes a logical unit can be taken during the teaching process in the form of the following 2 parts (part one: functions of several variables-differential calculus; part two: integrals and field theory;).