Massachusetts Institute of Technology This is to certify that Israel Vargas Casimiro has successfully completed Microeconomics Issued: Jan. 7, 2025
Jonathan Gruber

Professor

Massachusetts Institute of Technology

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Senior Associate Dean for Open Learning

Professor of History

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Vice President for Open Learning

Massachusetts Institute of Technology

Valid Certificate ID: cabd44fe-68e2-41fb-8f1d-cf4011b633af

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