1.Diferential of a function of several variables. Gradient method.
2.Diferential of a composite function. Transformation of variables in the differential expressions.
3.Approximation of function . Taylor's theorem . Conditions for the existence of local extremes.
4.Numerical derivative. Approximate solutions of equations.
5.Theorem about implicitly defined function. Constrained extremes.
6.Construction of integral sums, numerical integration .
7.Definition of multiple integrals. Selected applications.
8.Fubini`s theorems. Substitution in multiple integrals . Geometric interpretation of Jacobian .
9.Theorems about the existence and uniqueness of solutions of initial value problems for ordinary differential equations. Euler's method.
10.Transformation of variables in differential equations .
11.Potential and its use for solving exact equations.
12.Ordinary differential equations of higher orders. Solving linear differential equations. Boundary value problems .
2.Diferential of a composite function. Transformation of variables in the differential expressions.
3.Approximation of function . Taylor's theorem . Conditions for the existence of local extremes.
4.Numerical derivative. Approximate solutions of equations.
5.Theorem about implicitly defined function. Constrained extremes.
6.Construction of integral sums, numerical integration .
7.Definition of multiple integrals. Selected applications.
8.Fubini`s theorems. Substitution in multiple integrals . Geometric interpretation of Jacobian .
9.Theorems about the existence and uniqueness of solutions of initial value problems for ordinary differential equations. Euler's method.
10.Transformation of variables in differential equations .
11.Potential and its use for solving exact equations.
12.Ordinary differential equations of higher orders. Solving linear differential equations. Boundary value problems .