MITx Online | Certificate for: Microstructural Evolution of Materials: Phase Transformations

Massachusetts Institute of Technology

This is to certify that Jan Brinkerhoff has successfully completed Microstructural Evolution of Materials: Phase Transformations Issued: Oct. 28, 2025

Signatory-Juejun Hu

John F. Elliott Professor of Materials Science and Engineering

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: 3c003cc2-298f-4c9f-8a0e-ce6415822fa1