The graduate students majoring in mathematics in Shanghai University are graduate students from the Faculty of Science, including: Shanghai University Institute of Low-carbon Materials and Device Physics, Shanghai University Institute of Nano-micro Energy, Shanghai University Research Center of Superconducting and Applied Technology, Shanghai University Core Mathematics Research Institute and other research bases, as well as four experimental bases of mathematics basic laboratory, physics experiment center, basic chemistry experiment center and mechanics experiment center. The training scheme of Shanghai University's graduate students majoring in mathematics is as follows:

I. Training objectives

Understand the development trend of this research direction, master the basic knowledge of its main direction, study the basic courses of this direction, and have a systematic understanding of the research topics and important documents of this direction. Have the ability to engage in scientific research and innovation independently.

Second, years of study and credits.

The duration of postgraduate study is three years (including two and a half years of applied mathematics), and the duration of in-service postgraduate study can be extended to three and a half years or four years.

Third, the main research direction

1. Analytic number theory and its application

2. Finite group theory

3. Matrix algebra and its representation

4. Analysis and its application

5. Partial differential equations

6. Geometric analysis and convex body theory

7. Singular perturbation theory and asymptotic analysis

8. Hierarchical theory and nonlinear partial differential equations

9. Variational inequality equation and optimal control

Application and numerical method of bifurcation theory

1 1. Boundary value problems and inverse problems of partial differential equations

12. Power system and its application

13. Mathematical theory and method in continuum mechanics

14. Mathematical modeling and anti-mathematical problems in industry

15. Numerical Algebra and Parallel Algorithms

16. Numerical methods for partial differential equations

17. Numerical approximation and computational geometry

Wavelet analysis and inverse problem.

19. Theory and algorithm of bifurcation and chaos

20. Numerical solution of fractional differential equation

2 1. computational fluid dynamics language

22. Computational molecular biology

23. Soliton theory and integrable system

24. Mathematical programming theory and algorithm

25. Cone optimization and interior point algorithm and their applications

26. Nonlinear integer programming theory and algorithm

27. Stochastic model and intelligent algorithm

28. Machine learning and bioinformatics

29. Nonlinear Dynamic Systems and Control

30. Combinatorial optimization and its application

3 1. Insurance Theory and Financial Mathematics

32. Graph theory and its application

Fourth, credit requirements.

Course credit requirements: the course credit requirements should reach more than 48 credits.

It is required to publish more than 1 paper in important foreign journals or domestic core journals during the master's study.

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