Massachusetts Institute of Technology This is to certify that Arathi Arivayutham has successfully completed Microeconomics Sept. 10, 2024 - Jan. 7, 2025
Johnathan Gruber

Professor

Massachusetts Institute of Technology

Chris Capozzola

Senior Associate Dean for Open Learning

Professor of History

Massachusetts Institute of Technology

Eric Grimson

Vice President for Open Learning

Massachusetts Institute of Technology

Valid Certificate ID: efa2cc69-891d-47f2-879c-91efdeee5402

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