714-0568/01 – Bachelor Mathematics (BM)

The function of one real variable. The limit of a function, function continuity. The derivation of a function of one variable. Derivations of higher orders. Monotony, local extremes, convexity, concavity, inflexion, asymptotes. The derivation of a function defined parametrically. Linear algebra. Determinants. Arithmetic vectors, operations. A matrix, the rank of a matrix, operations with matrices. Systems of linear algebraic equations. Solid analytic geometry. Geometric vectors. The scalar, vector and triple products and their use. The analytical expressions of a plane and a line in space. Integral calculus. The primitive function and the indefinite interval of the function of one real variable, basic integration methods – substitution, by parts. The definite integral, applications. The differential calculus of functions of two variables. The domain of definition. The partial derivations of the first and higher orders. Extremes of functions of two variables. The implicitly defined function. Ordinary differential equations. First order differential equations, types of solution. Separable, homogenous and linear equations. Linear equations of the 2nd order with constant coefficients.