Teaching Reform and Practice of Advanced Mathematics Based on Micro Course

以“无穷限的广义积分”为例，从高等数学微课程研究现状、微课程内容选择、微课程教学设计、微课程制作技术几方面探究了基于微课程的高等数学课程的教学改革与实践。微课程与传统讲授有机结合，有助于提高高等数学教学质量，进一步促进学生自主学习能力的提升。 For example of “unlimited generalized integral”, this paper explores the teaching reform and practice of higher mathematics based on micro-curriculum from the aspects of the present situation of higher mathematics micro-curriculum research, the content selection of micro-course, the teaching design of micro-course and making technology of micro course. The organic combination of micro-curriculum and traditional teaching is helpful to improve the quality of higher mathematics teaching and the improvement of students’ autonomous learning ability.