Pratik Joshi successfully completed and received a passing grade in the course 15.071x: The Analytics Edge, an online course offered by MITx through edX. The certificate was issued on September 01, 2015 and can be verified online at the provided URL. The course was co-directed by Dimitris Bertsimas of MIT Sloan School of Management and Sanjay Sarma, Dean of Digital Learning at Massachusetts Institute of Technology.