linear algebra
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Complex analysis
differential equation 
Laplace transform 
Fourier analysis
numerical analysis
probability theory
mathematical statistics
Operations Research
Game theory
control theory
Combinatorial mathematics
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Computational Mathematics
information theory
statistics
The Application of Applied Mathematics
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Materials Mechanics
elastic mechanics 
solid mechanics
fluid mechanics
hydraulics
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rock mechanics
structural mechanics
Explosive mechanics
Aerodynamics
Plastic fracture and damage mechanics
Material modeling
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Theoretical Mechanics and Applied Mechanics