The entrance examination direction of mathematics undergraduate course includes basic mathematics, applied mathematics and computational mathematics.

1, basic mathematics

Basic mathematics is one of the two subjects under mathematics. Basic mathematics, also known as pure mathematics, is the core and basic part of mathematical science. Basic mathematics includes mathematical logic, number theory, algebra, geometry, topology, function theory, functional analysis and differential equations.

With the rapid development of contemporary mathematics, the trend of cross-infiltration between these branches is increasingly obvious, and many new research fields and growing points have emerged. Basic mathematics is not only the foundation of other applied mathematics disciplines, but also an indispensable language, tool and method for natural science, technical science and social science.

The development of high technology and the wide application of electronic computers provide a broader application prospect for the research of basic mathematics.

2. Applied Mathematics

Applied mathematics is one of the two disciplines under mathematics. Applied mathematics is the general name of mathematical theories and methods with clear application purposes. Studying how to apply mathematical knowledge to other branches of mathematics (especially science) can be said to be the opposite of pure mathematics.

Including differential equation, vector analysis, matrix, Fourier transform, complex variable analysis, numerical method, probability theory, mathematical statistics, operational research, control theory, combinatorial mathematics, information theory and many other branches of mathematics, including the study of mathematical problems raised from various application fields. Computational mathematics can sometimes be regarded as a part of applied mathematics.

3. Computational mathematics

Computational mathematics is a two disciplines under mathematics. It mainly studies how related mathematical and logical problems can be effectively solved by computers. The content of computational mathematics is also called numerical calculation method or numerical analysis.

The main contents include numerical solutions of algebraic equations, linear algebraic equations and differential equations, numerical approximation of functions, solution of matrix eigenvalues, optimization calculation, probability and statistics calculation, and theoretical problems such as existence, uniqueness, convergence and error analysis of solutions.