1. Applied mathematics is a general term for mathematical theories and methods with clear application purposes. Studying how to apply mathematical knowledge to other branches of mathematics (especially science) can be said to be the opposite of pure mathematics.

2. Basic mathematics is one of the core fields of mathematical science, and it is the foundation of the development of natural science, social science and engineering technology. Together with applied mathematics, computational mathematics, probability theory and mathematical statistics, operational research and cybernetics, it constitutes a complete mathematical discipline system.