MITx Online | Certificate for: Microeconomics

Massachusetts Institute of Technology

This is to certify that Yassmin Ibrahim has successfully completed Microeconomics Issued: Dec. 19, 2025

Jonathan Gruber

Professor

Massachusetts Institute of Technology

Dimitris Bertsimas

Vice Provost for Open Learning

Associate Dean, Online Education and Artificial Intelligence

Boeing Professor of Operations Research

Massachusetts Institute of Technology

Valid Certificate ID: f52ee6b9-e1d1-4a59-ba56-0d0b770243c9