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
Analytic Number Theory
Function Theory
Discrete Mathematics
Symmetry and integrability systems
Complex function
Real variable function
Special functions and orthogonal polynomials
The Application of Computer Mathematics
Mathematical Theory of Artificial Intelligence
Applied mathematics, etc
Topic 2: Statistics
Statistical Theory and Methods
Statistical Computing
Multivariate statistical analysis 
Statistical prediction and decision-making
Statistical Mechanics
Statistical Logic
Statistical Law
Economic Statistics
Management Statistics
Science and Technology Statistics
Social Statistics
Educational Statistics
Medical Statistics
Environmental and Ecological Statistics
International Statistics
Engineering Statistics
Literature statistical analysis
Chemistry and Program Analysis
reliability engineering 
Topic 3: Mathematical Modeling
Meta modeling and Regression
Model making and simulation experiments
Random modeling
Linear Algebra and Programming Models
Power system
Numerical Analysis
Financial Mathematics
Computational Mathematics
Random processes, etc