In order to improve the level of resource sharing and scheduling in higher mathematics teaching, this paper proposes a design of advanced mathematics teaching assistant system based on particle swarm optimization algorithm. In this paper, the model of higher mathematics teaching resources fusion is constructed, and the adaptive scheduling of higher mathematics auxiliary teaching resources is realized by using the fusion particle swarm optimization algorithm. The autocorrelation feature quantity of higher mathematics auxiliary teaching resources is extracted. Through the fuzzy correlation feature matching and statistical analysis method, the adaptive optimization of higher mathematics auxiliary teaching resources fusion is realized, and the particle swarm optimization is carried out In the process, the combination of statistical features is analyzed and controlled to realize resource scheduling and information fusion, and improve the management ability of higher mathematics auxiliary teaching. The simulation results show that the teaching information resources integration degree of the designed system is high, the information scheduling ability is strong, and the management level of higher mathematics auxiliary teaching is improved.