1. General situation of basic mathematics (applied mathematics) major: The department of mathematics generally offers two majors, basic mathematics and applied mathematics, and the two majors have basically the same direction, which lays the foundation for cultivating high-tech compound talents such as mathematics. The subjects of basic mathematics involve algebra, topology, geometry, differential equations, dynamic systems, function theory and so on. Its professional direction and course coverage are relatively wide, and theoretical knowledge accounts for a relatively large proportion. Applied mathematics is combined with other disciplines. Scientific research institutions with this major: Beijing Normal University, Beijing University of Posts and Telecommunications, Tsinghua University, Peking University, China Renmin University, Nanjing University, Jilin University, Fudan University, Wuhan University, Northwest University, China Youshi University, Zhejiang University, Sun Yat-sen University, University of Science and Technology Beijing, Shanghai Jiaotong University, Xi Jiaotong University, Beijing Institute of Technology, Chang 'an University, University of Science and Technology Beijing, Shandong University and Dalian University of Technology. Professional background: Candidates are required to have knowledge of basic mathematics, probability theory, differential positive analysis, computer theory, statistical analysis and other disciplines. Research interests: differential dynamical systems, nonlinear analysis, complex analysis and geometry, topology, algebraic number theory and algebraic geometry, graph theory, combinatorial mathematics, ordinary differential equations, differential geometry, mathematical physics, information science, computational mathematics, functional analysis, partial differential equations, geometric analysis and variational research. Employment prospects: After graduation, because of the strong foundation of mathematics, it is conducive to cross-professional examination of hot majors such as economics, finance and accounting. You can also engage in the development, application and management of statistical investigation, statistical information management and quantitative analysis in relevant enterprises, institutions and economic management departments, or become a senior professional engaged in research and teaching in scientific research and education departments. 2. Overview of Probability Theory and Mathematical Statistics (Probability and Statistical Actuarial): Probability Theory and Mathematical Statistics are rapidly developing disciplines in the 20th century, which mainly study the essence and inherent laws of various random phenomena, as well as the scientific comprehensive processing and statistical inference methods of different types of data in natural and social disciplines. With the continuous improvement of the scale, complexity and accuracy of various systems in human society and the extensive use of computers, probability statistics has become more and more important in the information age. The focus of this major is to lay a solid mathematical foundation for students, cultivate scientific research and innovation ability, and understand and master rich modern statistical methods. Scientific research institutions with this major: Peking University, Tsinghua University, Wuhan University, Xiamen University, Jilin University, Dalian University of Technology, Nanjing University, Sun Yat-sen University, China University of Science and Technology, Xi Jiaotong University, Shandong University, Xiangtan University, Shanghai University, Xiamen University, Shanghai Normal University, Northeastern University, Nankai University, Northwest University, Harbin Institute of Technology, Huazhong University of Science and Technology, Sichuan University, Fudan University, Northwestern Polytechnical University. Professional background: Candidates are required to have knowledge of basic mathematics, probability theory, mathematical statistical analysis, time series analysis, stochastic analysis, information technology, computer and other related disciplines. Research interests: probability theory and stochastic process, mathematical statistics, time series analysis and its application, actuarial science, financial engineering, nonparametric statistics, stochastic analysis and stochastic differential equations, stochastic dynamic systems, mathematical physics, employment prospects: after graduation, students can apply for doctoral students in various disciplines related to or intersecting with mathematics, such as basic mathematics, computer science, probability statistics and finance; You can also choose to go to famous foreign universities for further study, such as Harvard University and Massachusetts Institute of Technology. Of course, you can also engage in mathematical application development in enterprises. In fact, quite a few graduates will choose to engage in statistical investigation, statistical information management and quantitative analysis in enterprises and institutions. With the increasing application of computer software, statistics, especially SPSS software analysis, is promising, and statistical talents have become a "hot cake" for employers to "snap up". 3. Overview of the Department of Science and Engineering Computing in Mathematical Engineering: Science and Engineering Computing is a new discipline that has developed rapidly with the emergence of computers, involving computational physics, computational chemistry, computational mechanics, computational materials science, environmental science, earth science, finance and insurance. 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. Scientific research institutions with this major: Tsinghua University, Jilin University, Zhejiang University, Peking University, Tsinghua University, Jilin University, Dalian University of Technology, Nanjing University, Sun Yat-sen University, China University of Science and Technology, Xi Jiaotong University, Shandong University, Beihang University, Xiangtan University, Shanghai University, Wuhan University, Xiamen University, Shanghai Normal University, Northeastern University, Nankai University, Northwest University, Harbin Institute of Technology, Huazhong University of Science and Technology. Professional background: Candidates are required to have basic mathematics, applied mathematics, information technology, computer science, data processing and system analysis, engineering, digital images and other knowledge. Research interests: numerical methods of engineering problems, numerical methods of evolution equations and dynamic systems, numerical approximation and digital image processing, computer graphics and computer software, mathematical problems in optics and electromagnetism, etc. Employment prospects: Standing on the shoulders of mathematics, students in this direction have great advantages in both exams and going abroad. If graduate students are engaged in program development, their salary is generally higher, but their work intensity is relatively high.