Mathematical analysis, advanced algebra, analytic geometry, differential geometry, advanced geometry, ordinary differential equations, partial differential equations, probability theory and mathematical statistics, complex variable function theory, real variable function theory, abstract algebra, modern algebra, number theory, functional analysis, topology, fuzzy mathematics. Teachers also need to study mathematics pedagogy in their classes.

Main practical teaching links: including computer practical operation and in-depth first-line teaching practice.

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 mathematical problems is by no means a mathematical problem. It has made great contributions to the development of human society. Of course, students of these majors are also welcome in various related fields.