Mathematics III

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,
line integral of the first and the second kind, surface integral of the first
and second kind. Probabilities of random events: axioms of probability,
conditional probability, independence. Random variables: discrete random
variables, continuous random variables, expected values. Important practical
distributions of discrete and continuous random variables.