1. According to the query of China Education Network, there are many knowledge points involved in advanced mathematics, including function, limit, continuity, unary function differential, unary function integral, ordinary differential equation, multivariate function differential, double integral, vector algebra and spatial analytic geometry, infinite series and so on.

2. Higher mathematics also pays attention to the cultivation of students' logical thinking and mathematical ability, and requires students to have a good mathematical foundation and thinking ability.