Mathematics is a basic subject with a wide range of applications. The following are some major application areas:

1. Education: Mathematics is the foundation of all science and engineering, so graduates majoring in mathematics can serve as teachers or educational consultants in schools or educational institutions.

2. Finance: In the financial field, mathematics is used to establish and solve complex financial models, such as risk management, investment strategy and insurance pricing.

3. Data analysis: In the era of big data, knowledge of mathematics and statistics is widely used in data analysis to help enterprises understand market trends and optimize products and services.

4. Computer science: In computer science, mathematics is used to design and analyze algorithms, and to understand and solve computational problems.

5. Engineering: In various engineering fields, such as civil engineering, electronic engineering and mechanical engineering, mathematics is used to design and analyze complex systems and equipment.

6. Scientific research: In physics, chemistry, biology and other scientific research fields, mathematical models are established and solved, and data are analyzed.

7. Economics: In economics, mathematics is used to establish and solve economic models, such as supply and demand model, production function and consumer behavior model.

8. Medicine: In the medical field, mathematics is used to establish and solve biometric models, such as clinical trial design, epidemiological research and gene sequence analysis.

9. Social science: In social science, mathematics is used to build and solve social models, such as demography, network analysis and behavioral economics.

Generally speaking, the application field of mathematics covers almost all scientific and engineering fields, as well as many social science fields.