Data science takes raw, unstructured data from myriad sources and creates algorithms, predictive modeling processes, and other custom analyses to shape raw data into understandable insight.
Data analytics uses existing, structured data to identify trends, generate practical insights and answer questions to drive better business strategies.
In other words, data science finds new ways to capture and analyze the data used by analysts. Data analytics, in contrast, makes sense out of existing information.
Data science is, it's worth noting, the more technically complex field. Data analytics doesn’t require the same level of mathematical and programming fluency as data science. As a result, there are fewer barriers to entry into data analytics.