Verified Certificate

Supported by the following organizations

This is to certify that Pranav Vijay Kumar successfully completed and received a passing grade in QMB1: Quantitative Methods for Biology a course of study offered by HarvardX, an online learning initiative of Harvard University.

Noted by

Michael Springer

Michael Springer

Associate Professor of Systems Biology Harvard

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is a mission driven initiative created by founding partners Harvard and MIT.

About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.