Abstract
This survey is the first part of the history of science of Song and Yuan dynasties and covers the period starting from Song to Jin. The major science in the Song period consists of calendrical astronomy, mathematics and medicine, and mathematics is also related to water supply technology. In this survey we follow Yabuuchi's work on the history of science of Song and Yuan period and Du Shiran's work on the history of science of China. We will try first to see how academic science flourished in the Northern Song, what caused the public science to prevail in the Southern Song, and then how the academic trend continued in Jin. We will continue to cover the Jin-Yuan period in the ensuing survey.