(The following topics include but are not limited to)

A. Applied Mathematics

Riemannian surface and Riemannian geometry, combinatorial mathematics, finite groups, geometry and global differential geometry, preliminary algebraic topology, cryptography, differential dynamical systems, harmonic analysis lectures, statistical software (SAS), non parametric statistics, robust statistical analysis, experimental design and quality management, mathematical models, topology, differential geometry, partial differential equations, simulation and Monte Carlo methods, mathematical analysis, function theory, discrete mathematics, Numerical methods and computer technology, mathematical experiments, differential manifolds, Lie groups and representations, linear algebra, matrix theory, vector analysis, complex variable analysis, differential equations, Laplace transform, Fourier analysis, applications of applied mathematics, and so on;
B. Physics
Physics and Applied Physics, Nuclear Physics, Acoustics, Systems Science and Engineering, Quantum Information Science, Mechanics and Theoretical Mechanics, Thermodynamics, Optics, Electromagnetics, Atomic Physics, Electrodynamics, Quantum Mechanics, Solid State Physics, Structure and Physical Properties, Electrical and Electronic Technology, Semiconductor Physics, Optoelectronics, Optoelectronics and Its Applications, Nuclear Physics Experimental Methods, Nuclear Electronics, Nuclear Technology and Its Applications, Engineering Noise Control, Electroacoustic technology, audio technology, circuit principles and analysis, electronic circuits and experiments, algorithmic language and program design, signal and system theory, analog electronic technology, microcomputer principles and interface technology, signal analysis and processing, quantum electronic information, optical quantum information, biophoton information, space science and technology, and more.
C. Computational Science
Complex integral equations and numerical methods, numerical analysis, nonlinear equations, numerical linear algebra, complex analysis and special functions, computational geometry, application of computational technology and high-performance computing science, development of numerical computing software, fuzzy mathematics and mathematical logic, graph theory and combinatorial algorithms, etc