Professional basic courses include mathematical analysis, advanced algebra, analytic geometry, probability theory and mathematical statistics. These three are the old three, which will be used in the postgraduate entrance examination. The new three courses of modern mathematics are topology, real variable function and functional analysis, and modern algebra (also called abstract algebra). Other common ones are mathematical analysis, differential geometry, advanced geometry, ordinary differential equations, partial differential equations, complex variable function theory, real variable function theory, abstract algebra, modern algebra, number theory, functional analysis, topology and fuzzy mathematics.

1. Mathematics, which originated in ancient Greece, is a subject that studies concepts such as quantity, structure, change and spatial model. By using abstract and logical reasoning, the shape and motion of objects are counted, calculated, measured and observed. The basic elements of mathematics are: logic and intuition, analysis and reasoning, individuality and individuality.

2. Mathematics majors cultivate middle school mathematics teachers who have all-round development in morality, intelligence, physique and aesthetics, master the basic theories, knowledge and methods of mathematics and applied mathematics science, can use mathematics knowledge and use computers to solve some practical mathematics problems, have modern educational concepts, meet the needs of educational reform, and have good knowledge updating ability and innovative ability.

3. Computational mathematics is a new discipline that has developed rapidly with the appearance of computers, involving computational physics, computational chemistry, computational mechanics, computational materials science, environmental science, earth science, finance and insurance and many other interdisciplinary subjects. It uses modern mathematical theories and methods to solve various scientific and engineering problems, analyze and improve the reliability, effectiveness and accuracy of calculation, and study the development technology of various numerical software. It not only highlights the solution of some core theoretical and technical problems in the fields of information, electronics and computers, but also notes that new mathematical theories are abstracted from these high and new technologies; On the basis of maintaining the advantages of the main research directions of applied mathematics and computational mathematics, we should attach importance to and strengthen the research on the mathematical basis of information science, data analysis and statistical calculation, scientific calculation, modern optimization, numerical simulation of electronic systems and mathematical modeling of biological systems.