Massachusetts Institute of Technology This is to certify that Daria Bogatyrkova has successfully completed Microeconomics Issued: May 17, 2024
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: 1adabfeb-0d63-411a-931c-133ad1a1720d

© 2025 Massachusetts Institute of Technology