Topic 1: Mathematics
Linear Algebra
Matrix theory
Vector analysis
Complex analysis
ordinary differential equation 
numerical analysis
probability theory
mathematical statistics
Operations Research
Game theory
control theory
Combinatorial mathematics
Data analysis
statistics
geometry
Parameter calculation
mathematical modeling 
nonlinear analysis 
Algebraic topology
catastrophe theory
functional analysis
differential geometry 
Set theory
mathematical logic
Algebraic number theory
Analytical Number Theory
Function theory
discrete mathematics 
Symmetry and integrable systems
Complex function
Real variable function
Special functions and orthogonal polynomials
The Application of Computer Mathematics
The Mathematical Theory of Artificial Intelligence
Applied Mathematics, etc
Topic 2: Mechanics
Applied Mechanics
Analytical Mechanics
Computational Mechanics
fluid mechanics
Explosive mechanics
Vibratology
Geomechanics
Geodynamics
Rotor dynamics
Soil mechanics
Plastic fracture and damage mechanics
Force analysis
Mechanics and mechanical production, etc
Topic 3: Applied Physics
Condensed Matter Physics and New Materials
Physics and Applied Physics
nuclear physics
Sound/Electricity/Light/Thermal
Atomic physics
Solid State Physics
Structure and physical properties
Electrical and Electronic Technology
Semiconductor Physics
Optoelectronics
Optoelectronic Technology and Its Applications
Nuclear Electronics
Nuclear Technology and Applications
Vibration, noise and their control
Electro-acoustic technology 
Circuit Principles and Analysis
Quantum Electronic Informatics
Photon Informatics
Space science and technology, etc