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Analysis of Knowledge Points in the National College Students Mathematics Competition Non Professional Group Based on PCA

. INTERNATIONAL JOURNAL OF TREND IN SCIENTIFIC RESEARCH AND DEVELOPMENT, 6 (6): 262-269 (October 2022)

Abstract

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. He Xujie | Hong Hairu | Li Tingyu | Yang Chen Änalysis of Knowledge Points in the National College Students Mathematics Competition (Non-Professional Group) Based on PCA" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-6 , October 2022, URL: https://www.ijtsrd.com/papers/ijtsrd51813.pdf Paper URL: https://www.ijtsrd.com/other-scientific-research-area/other/51813/analysis-of-knowledge-points-in-the-national-college-students-mathematics-competition-nonprofessional-group-based-on-pca/he-xujie

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