Advanced mathematics is higher than elementary mathematics. In a broad sense, all mathematics except elementary mathematics are advanced mathematics, and some call algebra, geometry and simple set theory logic in middle school secondary mathematics, which is the transition between elementary mathematics in junior high school and advanced mathematics in undergraduate stage. It is generally believed that advanced mathematics is a basic subject formed by simple calculus, probability theory and mathematical statistics, as well as in-depth algebra and geometry, and their intersection, mainly including calculus, but other textbooks are slightly different.

Elementary mathematics studies constants and uniform variables, while advanced mathematics studies non-uniform variables.

Advanced mathematics (a general term for several courses) is an important basic subject in universities of science and engineering. As a science, advanced mathematics has its inherent characteristics, namely, high abstraction, strict logic and wide application. Abstract and calculation are the most basic and remarkable characteristics of mathematics-high abstraction and unity, which 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. Therefore, it is very important for us to learn advanced mathematics well.

Specific content

Function and limit, derivative and differential, application of derivative, indefinite integral, definite integral and its application, spatial analytic geometry, differential calculus of multivariate functions, integral calculus of multivariate functions, ordinary differential equations, infinite series.