Applied Mathematics:

Computational Mathematics

Differential Equation 

Precision and Symbolic Linearity

Polynomials and Differential Algebra

Symbolic Numbers, Homotopy, Perturbation, and Series Methods

Computational Algebraic Geometry

Group Theory and Number Theory

Quantifier Elimination and Logic

Sum, Recursive Equation, Integration, and Solution of Ordinary and Partial Differential Equations

Symbolic Methods in Other Fields of Applied Mathematics

Numerical Analysis

Statistics:

Multivariate Statistical Analysis 

Model Prediction 

Data Analysis

Logical Statistical Method

Reliability Engineering 

Literature Statistical Methods

Statistical Prediction and Decision-making

Computational Science:                    

Visual Analysis

Model Optimization

Model Fitting

Intelligent Computing

Pattern Recognition

Scientific Computing

Time Series Analysis

Theoretical Computer Science

Computer Arithmetic

Parallel and Distributed Computing

People-oriented Computing

Mobile Computing 

Computational Geometry

Computational Economics

Computational Number Theory