1 Linear algebra: Vectors, matrices - properties and operations.
2 Determinants, properties, calculation. Matrix inversion.
3 Systems of linear equations, Cramer’s rule, Gaussian elimination.
4 Functions of one real variable, definitions and basic properties.
5 Elementary functions.
6 Limit and continuity of the function.
7 The derivative of function.
8 Differential of the function, parametric differentiation, highes-order derivative.
9 Applications of the derivatives.
10 Monotonic functions and extremes of function, convexity and concavity of a function.
11 Antiderivative and indefinite integral for functions of one variable.
12 Definite integral.
13 Final test.
2 Determinants, properties, calculation. Matrix inversion.
3 Systems of linear equations, Cramer’s rule, Gaussian elimination.
4 Functions of one real variable, definitions and basic properties.
5 Elementary functions.
6 Limit and continuity of the function.
7 The derivative of function.
8 Differential of the function, parametric differentiation, highes-order derivative.
9 Applications of the derivatives.
10 Monotonic functions and extremes of function, convexity and concavity of a function.
11 Antiderivative and indefinite integral for functions of one variable.
12 Definite integral.
13 Final test.