Supported by the following organizations
This is to certify that Arvindh Velrajan successfully completed and received a passing grade in CS109x: Introduction to Data Science with Python a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
Pavlos Protopapas
Scientific Program Director Harvard
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- Verified Certificate Issued January 20, 2026
- Valid Certificate ID 909e9ebe302d4e9d824d08b4b03a4f66