Physics is a compulsory course in the mathematics course of Peking University, and the other two courses are not limited. Therefore, pure liberal arts can't apply. You can apply for anything else.

Generally speaking, people with strong mathematical ability are basically embodied in two abilities, one is logical thinking ability and the other is abstract thinking ability. Einstein also said: "Pure mathematics, in essence, is a poem of logical thinking." Therefore, when applying for mathematics major, candidates should know their own specialties and interests, such as whether they are good at logical thinking, whether they have good graphics, image imagination and algebraic operation ability, and whether they like to understand and explain the world with mathematical concepts.