This document summarizes a lecture on mining and analyzing data from the social web. It discusses the rise of "big data" from social media platforms, with billions of tweets, Facebook posts, YouTube videos and Flickr photos uploaded each year. It then discusses how this huge amount of user-generated data can provide insights into users, trends, communities and businesses. It also notes challenges in mining and analyzing social web data at web-scale. Finally, it provides examples of how different groups like scientists, historians, and companies are using social media data mining and analysis techniques.