Supported by the following organizations
This is to certify that wilmar marin moreno 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
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- Verified Certificate Issued September 7, 2025
- Valid Certificate ID b7fe613dd79b444f8b397af1c2096bba