Microeconomics Certificate
Certificate
This is to certify thatJoe Marie A. Valcarcel
has successfully completed all requirements of:
MicroeconomicsAwarded on
Jonathan 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 Credential ID: f7c6e69a-20cf-457a-b030-d027b9a3ba33
Note: The name displayed on your certificate is based on your Profile information.
