1, basic mathematics is also called pure mathematics, which specializes in the internal laws of mathematics itself. The knowledge of algebra, geometry, calculus and probability introduced in the textbooks of primary and secondary schools belongs to pure mathematics. A remarkable feature of pure mathematics is to temporarily put aside the specific content and study the quantitative relationship and spatial form of things in pure form.

2. Applied mathematics is a subject that uses mathematical methods to solve practical problems, and has applications in economy, finance, engineering, technology and other fields. Applied mathematics majors train senior professionals who master the basic theories and methods of mathematical science, have the ability to use mathematical knowledge and solve practical problems with computers, have received preliminary training in scientific research, and can engage in research and teaching in scientific, technical, educational and economic departments or engage in practical application, development, research and management in production, operation and management departments.

3. Probability statistics is one of the important courses for science, engineering and economic management majors in colleges and universities. It accounts for about 22% in the postgraduate mathematics (count one, count three). Including the basic concepts of probability theory, random variables and their probability distribution, numerical characteristics, law of large numbers and central limit theorem, statistics and its probability distribution, parameter estimation and hypothesis testing, regression analysis, variance analysis, Markov chain and so on.