(The following topics include but are not limited to)
Topic 1: Modern Mathematical Theory
Probability and Statistics
Differential Equations and Applications
Discrete Mathematics and Control
Linear Algebra and Applications
numerical analysis
Operations Research and Optimization
Approximation theory
Combinatorics
Computability theory
Discrete Geometry
Matrix calculation
ordinary differential equation 
partial differential equation 
Statistical finance
random process
Financial Mathematics
Nonlinear processes in physics
Game theory
Topic 2: Engineering
civil engineering
mechanical engineering
electrical engineering
Electronic Engineering
Automation Engineering
Aerospace Engineering
chemical engineering
Materials Science and Engineering
Environmental Engineering
biomedical engineering
Energy Engineering
Computer Engineering
industrial engineering
traffic engineering 
water conservancy project
mineral engineering
architectural engineering