Supported by the following organizations
This is to certify that Arjun Vakil 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
Associate Professor of Systems Biology Harvard
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- Verified Certificate Issued April 5, 2026
- Valid Certificate ID eeeda7fc65d94234af85b1411d152ffd