1, derivative sum function, complex variable function, integral.

2, derivatives and functions to learn well, this part will be further studied in the university, the study of college calculus, and the most closely related to high school is the derivative and limit part of the function, this part to learn well, space geometry is also useful.

3. The study of complex variable function and integral is related to the complex number in senior high school. In high school, it is the basic definition and local application. When you go to college, you will study calculus deeply. Therefore, learning complex numbers well is helpful for better study in the future.

Higher mathematics refers to a more complicated part of mathematical objects and methods compared with elementary mathematics.

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: limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations.

To learn derivatives and functions well, this branch will be further studied in the university. The study of calculus in universities is closely related to the derivative and limit of functions. To learn it well, space geometry should also be used.

Refers to the object and method of mathematics, which is more complicated than elementary mathematics. Broadly speaking, all the mathematics except elementary mathematics are advanced mathematics, and there are also algebras that are deepened by middle school.

Geometry and simple set theory are called middle school mathematics, and they are regarded as the transition between elementary mathematics in primary and secondary schools and higher mathematics in universities.

Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection.

The main contents include: limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations. Basic subjects of postgraduate examination in engineering and science.

Extended data:

Curriculum characteristics

Trigonometric function is difficult for students majoring in science and engineering in China (except mathematics, who study mathematical analysis), and is often called "advanced mathematics" in textbooks; Students majoring in literature and history learn a little shallower mathematics, 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).

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.

It is also a compulsory mathematics course for non-mathematics majors in science and engineering, and it is also a compulsory course for other majors.

Baidu encyclopedia-advanced mathematics