This certificate recognizes that Abhishek Gautam successfully completed and passed the course "AdvCAL.1x: Preparing for the AP Calculus AB Exam - Part 1: Derivatives", an online course offered by RICEx through edX. The certificate was issued on December 15, 2015 and was signed by an AP Calculus teacher, the Vice President of Rice University, and the Online Education Program Director of Rice University.