The National Mathematical Competition for Undergraduates is a national high-level subject competition for undergraduates. In this paper, 82 knowledge points have been sorted out according to the competition content of the China College Students Mathematics Competition (non-mathematics category) and the real questions of the previous competition preliminaries. The evaluation index system of the importance of knowledge points is obtained by the evaluation matrix, and the principal component analysis (PCA) algorithm is used to establish a model, and statistical analysis is used to obtain the knowledge points with high contribution rate and comprehensive score. The knowledge points to be tested include the calculation of triple integral and double integral, the calculation and application of surface integral, and functions. The knowledge points that will appear with high probability include the geometric meaning of differential, the known binary differential to find the original function, and the properties of power series, Power series to find the limit, effectively helping non-mathematical college students to prepare for exams.
knowledge point prediction; mathematics; principal component analysis; MATLAB
International Journal of Trend in Scientific Research and Development - IJTSRD having
online ISSN 2456-6470. IJTSRD is a leading Open Access, Peer-Reviewed International
Journal which provides rapid publication of your research articles and aims to promote
the theory and practice along with knowledge sharing between researchers, developers,
engineers, students, and practitioners working in and around the world in many areas
like Sciences, Technology, Innovation, Engineering, Agriculture, Management and
many more and it is recommended by all Universities, review articles and short communications
in all subjects. IJTSRD running an International Journal who are proving quality
publication of peer reviewed and refereed international journals from diverse fields
that emphasizes new research, development and their applications. IJTSRD provides
an online access to exchange your research work, technical notes & surveying results
among professionals throughout the world in e-journals. IJTSRD is a fastest growing
and dynamic professional organization. The aim of this organization is to provide
access not only to world class research resources, but through its professionals
aim to bring in a significant transformation in the real of open access journals
and online publishing.