Research on the Construction of First-class Curriculum of Advanced Mathematics Driven by New Quality Productivity: An Innovative Path for the Cultivation of New Talents

New quality productivity refers to a new form of productivity that promotes high-quality economic development through the deep integration of new technologies, new industries, new forms of business and new models, driven by scientific and technological innovation. The construction of a first-class course in advanced mathematics requires the selection of course content to be high-level, innovative, applied and challenging. At the same time, knowledgeable, applied and interesting cases are added to stimulate students' interest in learning. In the context of the development of new quality productivity driven by digital economy and intelligent technology, advanced mathematics courses are facing challenges such as lagging teaching content, single teaching mode, and disconnection from professional needs. Guided by the ability needs of "new talents" (emphasizing innovation ability, interdisciplinary thinking, and digital literacy), this study proposes to reconstruct the curriculum system, innovate teaching methods, deepen the integration of industry and education, and construct a first-class advanced mathematics curriculum model with high-order, innovation and challenge, so as to provide theoretical support and practical solutions for cultivating compound talents who support the development of new quality productivity.