Massachusetts Institute of Technology This is to certify that Yangxu Lin has successfully completed Microeconomics Issued: Sept. 26, 2023
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: 0c5e21a9-ba62-4b3c-9f42-a529e7600714

© 2025 Massachusetts Institute of Technology