Subject contains parts of higher mathematics omitted in some bachelor programs. Mastering selected parts is essential for the successful engineering degree in Computational Mathematics.
In the field of differential calculus of of functions of several variables we concetrate on the following parts: differentiating of composite functions, Taylor polynomials, implicit function theorem, constrained extremes. Students also learn the basic principles and methods of multidimensional integration. Attention to numerical methods is focused on issues of numerical differentiation and integration of functions. Some remarks are dedicated to a function approximation, search for zero points and extremal tasks.
A substantial part of the course is the interpretation of the relevant passages in the field of ordinary differential equations and their systems.