With the massive emergence of new technologies empowered by big data and technology, the four original disciplines of engineering, agriculture, medicine and liberal arts have to keep up with the times and integrate big data, artificial intelligence and other related contents. New engineering, new agriculture, new medicine and new liberal arts came into being, the four new disciplines focus on professional cross-cutting practical [1], but also to improve the quality of talent training creative exploration, in the near future the layout of higher education disciplines or a major reshuffle will come. Industrial transformation and upgrading in the context of the national development of the economy is often heard by us, people need to study, digest, reform and innovate their own technology system on the basis of the introduction of advanced technology. Similarly the transformation and upgrading of disciplines in the context of the big data era is also imperative, various disciplines will develop in the direction of convergence and intersection, and disciplines can no longer be siloed disciplines, they all need to cross-fertilise with new big data-related knowledge to keep up with the times. Probability Theory and Mathematical Statistics is one of the required courses for undergraduates of statistics, big data and computer science majors, which are all related engineering and science majors under the construction of new engineering disciplines, while computers, the Internet, and artificial intelligence are driving educational changes and innovations, so the probability theory and mathematical statistics course should be integrated into the theories of the new engineering discipline to carry out innovation and reform. Through the restructuring of the teaching content to add the big data background of some of the methods to deal with the problem, so that students can use the idea of statistical modelling to analyze the economic and social stochastic phenomena, and can develop a pragmatic spirit based on data [3]. This paper will be from the reform of the teaching mode, teaching content innovation and restructuring, reform of the assessment method and the promotion of the four aspects of the teaching model to develop the probability theory and mathematical statistics in the four new disciplines under the background of the reform and innovation of the curriculum research.
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