1, Advanced Mathematics: Advanced Mathematics refers to a part with more complicated mathematical objects and methods compared with elementary mathematics and secondary mathematics. Algebra, geometry and simple set theory in middle school were originally called middle school mathematics, which was 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.
2. Linear algebra: Linear algebra is a branch of mathematics, and its research objects are vectors, vector spaces, linear transformations and finite-dimensional linear equations. Vector space is an important subject in modern mathematics, so linear algebra is widely used in abstract algebra and functional analysis. Through analytic geometry, linear algebra can be expressed concretely. The theory of linear algebra has been extended to operator theory.
3. Probability theory and mathematical statistics: Probability statistics is one of the important courses of science, engineering and economic management in colleges and universities. It accounts for about 22% in graduate mathematics, including random events and probability, random variables and their probability distribution, two-dimensional random variables and their probability distribution, numerical characteristics of random variables, law of large numbers and central limit theorem, basic concepts of mathematical statistics, parameter estimation and hypothesis testing.