Enabling students in abstract thinking and acquiring basic knowledge in order theory, integral transformations, integrals, field theory and partial differential equations.

courses by using the learnt course material related to order theory, integral transformations, integrals, field theory and partial differential equations.

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.

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 3 parts (part one: order theory and integral transformations; part two: integrals and field theory; part three: partial differential equations). Oral part of the final examination is eliminatory.