There are two kinds of courses in broad sense and narrow sense. There is only one kind in broad sense, including mathematical analysis, high (linear) algebra, analytic geometry, differential geometry, probability theory and mathematical statistics, ordinary differential equations, mathematical and physical equations, field theory, integral transformation, variational method, theory of real variable function, complex variable function wheel, group theory, set theory, topology, number theory, graph theory and number.

In a narrow sense, it refers to a course called advanced mathematics, which is generally used as an engineering textbook. The main contents include: set, function, limit, differential, integral, infinite series, simple differential equation. There are two categories: monism and pluralism. According to different categories (science, engineering, literature and economics) and different levels (undergraduate, junior college and higher vocational college), the content is very different.