Supported by the following organizations
This is to certify that Kalivarapu Vamsi Krishna 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 June 21, 2024
- Valid Certificate ID bd918289caae454cb9af5149ad2ef20e