1 Functions of one real variable (definitions and basic properties)
2 Elementary functions
3 Limit of the function, continuity of the functions.
4 Differential calculus functions of one real variable. Geometrical and physical meaning, basic rules for differentiation.
5 Derivatives of selected functions
6 Differential of the function, parametric differentiation, highes-order derivative, L´Hospital´s rule.
7 Applications of the derivatives. Monotonic functions and extremes of a function, convexity and concavity of a function.
8 Asymptotes, constructing graphs.
9 Linear algebra. Arithmetic vectors, linear dependence and linear independence of vectors. Matrix (basic properties), rank of a matrix.
10 Determinants. Basic properties, calculation, evaluation.
11 System of linear equations, Cramer’s rule, Gaussian elimination algorithm. Matrix inversion.
12 Analytical geometry in E3. Geometrical vector, basic operations. Inner product, cross product and applications.
13 Plane and line in E3, metric problems.
14 Reserve.
2 Elementary functions
3 Limit of the function, continuity of the functions.
4 Differential calculus functions of one real variable. Geometrical and physical meaning, basic rules for differentiation.
5 Derivatives of selected functions
6 Differential of the function, parametric differentiation, highes-order derivative, L´Hospital´s rule.
7 Applications of the derivatives. Monotonic functions and extremes of a function, convexity and concavity of a function.
8 Asymptotes, constructing graphs.
9 Linear algebra. Arithmetic vectors, linear dependence and linear independence of vectors. Matrix (basic properties), rank of a matrix.
10 Determinants. Basic properties, calculation, evaluation.
11 System of linear equations, Cramer’s rule, Gaussian elimination algorithm. Matrix inversion.
12 Analytical geometry in E3. Geometrical vector, basic operations. Inner product, cross product and applications.
13 Plane and line in E3, metric problems.
14 Reserve.