When applying for graduate students majoring in mathematics in American universities, applicants are required to have the foundation of related courses, including advanced calculus, linear algebra, complex variable function, partial calculus and ordinary calculus equations, probability theory and so on. Students don't need to major in mathematics.

Mathematics, which originated in ancient Greece, is a discipline that studies related concepts such as quantity, structure, change, space and information. By using abstract and logical reasoning, the shape and motion of objects are counted, calculated, measured and observed. Mathematics, as a universal way for human beings to strictly describe and deduce abstract structures and patterns of things, can be applied to any problem in the real world.