# Mathematics

#### I.1. General topology

*In order to consider areas of space, it is necessary to expand the concept of a set, the properties of a set make it possible to find limits on sections of space*

#### I.2. Limits

*At the point of space under study, the function may behave differently: it may not be defined, it may be continuous. or it may diverge. A limit is a way to study the behavior of a function at a given point.*

#### I.3. Differential Application

*The differential has many applications: approximation of a function using lower powers, search for extremes, minimization of a function, and others*

#### I.4. Integration +1

*Integral - as a tool, definition, application and ways to simplify the solution of problems with integrals, as well as the main integration theorems*

#### I.5. Coordinate systems

*Sometimes, for the simplicity of solving a problem, it becomes necessary to use coordinate systems other than Cartesian, for example, solving problems with circles is more convenient in polar coordinates, the trajectory of the satellite is spherical, and*

#### I.6. Differentiation

*General concept of derivative, derivative along vector, tangent surface, gradient of function and differentiability*