Applied mathematics: Linear algebra, matrix theory, Vector calculus, complex variable analysis, differential equation, Laplace transform, Fourier analysis, numerical analysis, Probability theory, mathematical statistics, Operations research, Game theory, control theory, Combinatorics, information theory, computational mathematics, Information theory, statistics, applications of Applied mathematics
Modeling and simulation: simulation tools and languages, Discrete-event simulation, object-oriented implementation, web-based simulation, Monte Carlo simulation distributed simulation, simulation optimization, numerical methods, mathematical modeling, agent-based modeling, dynamic modeling, continuous and discrete methods, time series analysis, complex system modeling and simulation, modeling and simulation technology applications
Computer technology: numerical analysis, operating system, programming examples, quantum Theory of computation, Logic programming, machine learning, software engineering, software testing, digital signal processing (DSP), advanced adaptive signal processing, spectrum estimation and modeling, array signal processing, speech synthesis and recognition, image processing and understanding, PDE for image processing, computer vision and virtual reality, multimedia and human-computer interaction