Supported by the following organizations
This is to certify that Sanghavi S successfully completed and received a passing grade in CalcAPL1x: Calculus Applied! a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
John Wesley Cain
Senior Lecturer on Mathematics Harvard University
Juliana Belding
Professor of the Practice Boston College
-
- Verified Certificate Issued October 14, 2025
- Valid Certificate ID 2df30e80b74d414384862434179e9201