Mathematics IV

Systems of n ordinary linear differential equations of the first order for n
functions: definition, representation at matrix form, methods of solution of
systems of 2 equations for 2 functions, Euler method for homogeneous systems of
n equations for n functions. Integral calculus of functions of several
independent variables: two-dimensional integrals, three-dimensional integrals,
vector analysis, line integral of the first and the second kind, surface
integral of the first and second kind. Infinite series: number series, series
of functions, power series.