Generally, the field of mathematics is concerned with studies of quantity, structure, space, and change. In order to solve mathematical tasks, only strict logics and axiomatic thinking need to be used. Mathematics can be pure, i.e. for the sake of it, without holding in mind any specific application, or applied. It is often called "the Queen of the Sciences", as it is used practically in all of them including engineering, economics, various social sciences, and many more. Many particular new fields were derived from mathematics not so much time ago such as game theory and statistics.
Algebra, geometry, trigonometry, and calculus are the most popular areas of mathematics widely studied within the framework of general and higher education. Students are taught basic and advanced concepts and methods as well as fields of their application. For example, calculus denotes the change aspect of mathematics, and it is used in sciences where a model of the problem can be built in order to find the optimal solution. These sciences include physics, medicine, and economics.