Abstract-This paper discusses the reform and innovation of college math teaching as well as micro thinking and macro innovation of the teaching. It explores micro dialectical thinking of modern college math teaching and macro innovation of its scientific methodology. The article establishes the integration and communication between micro thinking and macro innovation of college math teaching, which is aimed to stimulate the students' initiative in learning and creation and to promote their dialectical ability and comprehensive creativity. College math teaching paves the ground for the fostering of students into interdisciplinary talents needed by modern China.

As we all know, big data and intelligent computing have been widely used in information science, life science, computer science and intelligent control, intelligent robots, vehicle networking, space technology, marine development and other fields, especially in the future life science and medical field. The results of the discussion show that the intersection and fusion research of big data analysis, mathematics, computational science and life science in the 21st century is getting more tightly. We can understand life science from a new perspective by using big data and Intelligent Computing technology. Thus a new research model is being used to shift the application of mathematics from non-life to life. Furthermore, it greatly strengthens the mutual penetration and connection of big data analysis, mathematics, computational science and life science. It also greatly accelerates the research process of modern life science.

As we all know, big data and intelligent computing have been widely used in information science, life science, computer science and intelligent control, intelligent robots, vehicle networking, space technology, marine development and other fields, especially in the future life science and medical field. This paper is based on a new digital optimal decision-making idea of intelligent signal processing and control. On the basis of extending non-digital signal processing and information prediction to signal processing and information prediction in the digital generalized information measurement space, and making full use of optimization algorithms such as digital filtering and frequency spectrum analysis, this article discusses in depth the intelligent optimal control of a class of non-stationary random processes in artificial intelligence, biomedicine, radio communication, automatic control and other scientific and technological fields. It provides a new theory, a new approach and an effective and reliable new method for the mathematical modeling and optimal control of such processes, and has broad application prospects and value.

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：This talk introduces the most widely used modern life science research, and its new developments in the 21 st century, discovers the formation, breakthroughs, and developments of computing life science, discusses the carrier of computing life sciences, the ramification of biological mathematics, mathematical theory and its disciplinary characteristics, explores the research methodologies of computing life science. The study shows that while in the 21 st century, the crossovers and intersections of mathematics, computational science, and the life science speed up. Computing life science methods are trying to interpret life sciences from a new perspective. It adopts a new research model and this will turn applied mathematics from non-life to life, thus greatly strengthens the interpenetration and connection of mathematics, computational science, and life sciences, which decisively advances the research of life science.