1, basic mathematics: it is the core of mathematics, including mathematical logic, number theory, algebra, geometry, topology, function theory, functional analysis, differential equations and many other branches.
2. Computational mathematics: it is the theory and algorithm of numerical solution to mathematical problems in the field of science and technology, especially the numerical solution by computer, with special attention to the research of efficient and stable algorithms, including computational mechanics, computational physics, computational chemistry, computational biology and other interdisciplinary subjects.
3. Probability theory and mathematical statistics: it is a subject that studies how to collect, analyze and use random data effectively from the perspective of mathematics. Probability theory and mathematical statistics promote each other and play an important role in science and technology, industrial and agricultural production, economy and finance, population health and environmental protection with the help of computer technology.
4. Applied mathematics: an important bridge between mathematics and the real world. It mainly studies mathematical problems in natural science, engineering technology, humanities and social sciences, including information, economy, finance, management and other important fields.
5. Operations Research and Cybernetics: With mathematics as the main tool, from the viewpoint of system and information processing, research and solve the problems of modeling, analysis, planning, design, control and optimization of various systems such as society, economy, finance, military affairs, production management and planning and decision-making.
6. Mathematics education: it is a subject that studies the contents, methods and practices of mathematics teaching. Its main research directions include mathematics curriculum content, mathematics teaching, mathematics learning, mathematics education evaluation, mathematics teacher education, mathematics history, mathematics philosophy and modern mathematics education technology.