Differential calculus of function of one real independent variable: function of
one variable, elementary functions (polynomial, rational, exponential,
logarithmic, trigonometric and circular), limit and continuity of a function,
number e, differentiation, techniques of differentiation, differential of a
function, Taylor’s theorem, Taylor and Maclaurin polynomials, Rolle’s theorem,
the mean value theorem of the differential calculus, extreme values of
function, point of inflection, convex and concave function, L’Hospital’s rule.
Linear algebra: vector spaces, determinants, matrices, systems of linear
equations.