The new three courses of modern mathematics are topology, real variable function and functional analysis, and modern algebra (also called abstract algebra).
Other common branches include complex variable function, ordinary differential, operation, optimization and mathematical model.
In the college of mathematics of universities, in addition to basic mathematics, most of them also offer applied mathematics, information and computing science, probability and statistical actuarial science, mathematics and control science.
These branches of modern mathematics have gone beyond the scope of traditional mathematics and extended to all fields of society. Using mathematics as a tool to discuss and solve problems is by no means mathematical. It has made great contributions to the development of human society.
Of course, students of these majors are also welcome in various related fields.