In China, students majoring in science and engineering (except mathematics, who study mathematical analysis) have difficulty in learning mathematics, which is often called "advanced mathematics" in textbooks; Students majoring in literature and history learn mathematics a little shallower, and their textbooks are often called "calculus".
Different majors in science and engineering, literature and history have different degrees of depth. It is advanced mathematics that studies variables, but advanced mathematics does not only study variables.
As for the courses related to "advanced mathematics", there are usually: linear algebra (advanced algebra for mathematics majors), probability theory and mathematical statistics (some mathematics majors study independently).
Extended data
Advanced mathematics has its inherent characteristics, that is, high abstraction, strict logic and wide application. Abstraction and computability are the most basic and remarkable characteristics of mathematics. Only a high degree of abstraction and unity can 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. The progress of human society is inseparable from the wide application of mathematics. Especially in modern times, the appearance and popularization of electronic computers have broadened the application field of mathematics. Modern mathematics is becoming a powerful driving force for the development of science and technology, and it has also penetrated into the field of social sciences extensively and deeply.
The computational aspect of mathematics. Even occupies a dominant position in elementary mathematics.
Its position in higher mathematics is also obvious. In addition to many theoretical subjects, advanced mathematics also has a large number of computational subjects, such as differential equations, computational mathematics, statistics and so on. With highly abstract theoretical equipment, it is possible for these disciplines to deal with complex computing problems in modern science and technology.
Baidu encyclopedia-advanced mathematics