1. Functions of one real variable (definitions and basic properties). Elementary functions. Limit of the function, continuity of the functions, basic rules.
2. Differential calculus of functions of one real variable: The derivative of a function (basic rules for differentiation). Derivatives of selected functions. Differential of the function. Taylor polynom. Parametric differentiation. Highes-order derivative. Applications of the derivatives. Monotonic functions and extremes of function, convexity and concavity of a function.
3. Linear algebra: Vectors, linear independence. Matrices (basic properties), determinants (basic properties, calculation, evaluation). Matrix inversion. Systems of linear equations, Cramer’s rule. Gaussian elimination
4. Analytical geometry in E3: Product of vectors (basic properties).
2. Differential calculus of functions of one real variable: The derivative of a function (basic rules for differentiation). Derivatives of selected functions. Differential of the function. Taylor polynom. Parametric differentiation. Highes-order derivative. Applications of the derivatives. Monotonic functions and extremes of function, convexity and concavity of a function.
3. Linear algebra: Vectors, linear independence. Matrices (basic properties), determinants (basic properties, calculation, evaluation). Matrix inversion. Systems of linear equations, Cramer’s rule. Gaussian elimination
4. Analytical geometry in E3: Product of vectors (basic properties).