让喜欢做应用数学的同学基本有个了解。

Analysis, Mechanics - Engineering, Science generally
Discrete Mathematics - Computer design & programming
Dynamical Systems - Chaos (weather, earthquakes, financial markets)
Geometry - Geometric modelling
Number Theory - Data compression, cryptography (computer security)
Numerical Analysis - Engineering
Operations Research - Industrial scheduling & control
Probability - Financial markets, insurance
Topology - Computer architecture, Biochemistry (DNA)
Wavelets - Signal processing, image compression