In a broad sense, all mathematics except elementary mathematics are advanced mathematics, and some call algebra, geometry, simple set theory and logic in middle school intermediate mathematics, which is the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.
Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection.
The main contents include: series, limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations.
Extended data:
Elementary mathematics studies constants and uniform variables, while advanced mathematics studies non-uniform variables. Advanced mathematics (the general name of several courses) is an important basic subject in science and engineering colleges, and it is also a compulsory mathematics course for non-mathematics majors in science and engineering, as well as a compulsory course for other majors.
As a basic science, advanced mathematics has its inherent characteristics, namely, high abstraction, strict logic and wide application. Abstraction and calculation are the most basic and remarkable features of mathematics. Only with a high degree of abstraction and unity can we profoundly reveal its essential laws and make it more widely used.
Strict logic means that in the induction and arrangement of mathematical theory, whether it is concept and expression, or judgment and reasoning, we must use the rules of logic and follow the laws of thinking. Therefore, mathematics is also a way of thinking, and the process of learning mathematics is the process of thinking training.
Baidu encyclopedia-advanced mathematics