1 Linear algebra:
Vectors, matrices - properties and operations.
Determinants, properties, calculation. Matrix inversion.
Systems of linear equations, Cramer’s rule, Gaussian elimination.
2 Function of one real variable:
Definitions and basic properties.
Elementary functions.
Limit and continuity of the function.
3 Differential calculus of functions of one variable:
The derivative of function.
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.
4 Differential calculus of functions of one variable:
Antiderivative and indefinite integral for functions of one variable.
Definite integral.
Vectors, matrices - properties and operations.
Determinants, properties, calculation. Matrix inversion.
Systems of linear equations, Cramer’s rule, Gaussian elimination.
2 Function of one real variable:
Definitions and basic properties.
Elementary functions.
Limit and continuity of the function.
3 Differential calculus of functions of one variable:
The derivative of function.
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.
4 Differential calculus of functions of one variable:
Antiderivative and indefinite integral for functions of one variable.
Definite integral.