Abstract: With the rapid development of artificial intelligence technology, advanced mathematics, as one of its theoretical foundations, plays a vital role in algorithm development, model optimization and data processing. This paper explores the specific application of higher mathematics in the field of artificial intelligence, and reveals how the concepts and methods of higher mathematics can help build complex machine learning models, improve the efficiency and accuracy of algorithms, and reflect the core position of higher mathematics in the basic research of artificial intelligence, so as to promote the high integration and development of higher mathematics and artificial intelligence technology, and provide reference and support for high-quality teaching of higher mathematics.

Key words: Artificial intelligence, Advanced mathematics, Machine learning, Mathematical modeling, Least squares, Gradient descent method