1. operational research: operational research is an important branch of applied mathematics, which studies how to make optimal decisions with limited resources. Operations research is widely used in economy, management, engineering and other fields.
2. Statistics: Statistics is another important branch of applied mathematics, which studies how to collect, analyze and interpret data. Statistics is widely used in social science, medicine, biology and other fields.
3. Financial Mathematics: Financial Mathematics is a combination of applied mathematics and finance, which studies how to use mathematical methods to solve problems in financial markets. Financial mathematics is widely used in banking, securities, insurance and other industries.
4. Computational mathematics: Computational mathematics is a subject combining applied mathematics with computer science, which studies how to solve complex mathematical problems by using computers. Computational mathematics is widely used in computer graphics, artificial intelligence, machine learning and other fields.
5. Bio-mathematics: Bio-mathematics is a combination of applied mathematics and biology, which studies how to solve problems in biology by mathematical methods. Biomechanics is widely used in genetics, ecology, neuroscience and other fields.