Supported by the following organizations
This is to certify that Cooper Vincik successfully completed and received a passing grade in SOC1.longx: PredictionX: Lost Without Longitude a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
Alyssa Goodman
Robert Wheeler Willson Professor of Applied Astronomy Harvard University
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- Verified Certificate Issued June 13, 2025
- Valid Certificate ID 288780850d944f5998140eb601a1250d