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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