Supported by the following organizations
This is to certify that João Paulo Morais Rangel successfully completed and received a passing grade in CS50x: CS50's Introduction to Computer Science a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
David J. Malan
Gordon McKay Professor of the Practice of Computer Science Harvard University
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- Verified Certificate Issued March 9, 2026
- Valid Certificate ID a5a6f4258b454a50af4ac5a69a2cfc71