The student will be able ...
• to interpret correctly the concept of the real function (one variable),
• to find the domain of real functions of one real variable (by means of solving systems of non-linear inequations),
• to characterize the basic properties of continuous functions,
• to explain the behavior of certain discontinuous functions,
• to compute and to interpret correctly the concept of limits of functions,
• to define and compute the derivative of a function,
• to interpret graphically the value of 1st and 2nd derivative of a function at a fixed point,
• to find and to determine the local extrema, points of inflextion, asymptotes and to interpret these concepts graphical and from the practival point of view,
• to control the basic rules for computing the antiderivative of a function,
• to explain the concept of definite integral (Darboux approach),
• to describe certain phenomenons with the help of the matrix algebra,
• to solve the systems of linear equations by means of Gauß' elimination technique.