Supported by the following organizations
This is to certify that ARPAN PATRA successfully completed and received a passing grade in 14.01x: AP® Microeconomics a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.
Noted by
Jon Gruber
Ford Professor of Economics Massachusetts Institute of Technology
Eric Grimson
Interim Vice President for Open Learning Massachusetts Institute of Technology
Chris Capozzola
Senior Associate Dean for Open Learning Professor of History Massachusetts Institute of Technology
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- Verified Certificate Issued December 10, 2022
- Valid Certificate ID dfd5f3376fa84b6ab692a3bcaf71828c