I. Functions of one real variable
Definitions and basic properties, elementary functions, limit of the function, continuity of the functions , basic rules
II. Differential calculus functions of one real variable
The derivative of function (basic rules for differentiation), derivatives of selected functions, differential of the function, parametric differentiation, highes-order derivative, applications of the derivatives, monotonic functions and extremes of function, convexity and concavity of a function
III. Linear algebra and analytical geometry
Matrix (basic properties), determinants (basic properties, calculation, evaluation), matrix inversion, systems of linear equations, Cramer’s rule, Gaussian elimination
Product of vectors (basic properties), analytical geometry in E3
Definitions and basic properties, elementary functions, limit of the function, continuity of the functions , basic rules
II. Differential calculus functions of one real variable
The derivative of function (basic rules for differentiation), derivatives of selected functions, differential of the function, parametric differentiation, highes-order derivative, applications of the derivatives, monotonic functions and extremes of function, convexity and concavity of a function
III. Linear algebra and analytical geometry
Matrix (basic properties), determinants (basic properties, calculation, evaluation), matrix inversion, systems of linear equations, Cramer’s rule, Gaussian elimination
Product of vectors (basic properties), analytical geometry in E3