VERIFIED CERTIFICATE of ACHIEVEMENT
Caroline Ross Toyota Professor of Materials Science and Engineering
This is to certify that
Massachusetts Institute of Technology
Christos K. Mytafides Sanjay Sarma
successfully completed and received a passing grade in
Vice President for Open Learning Massachusetts Institute of Technology
3.15.2x: Optical Materials and Devices a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology through edX.
VERIFIED CERTIFICATE Issued August 18, 2017
VALID CERTIFICATE ID 5e4052afd6dc49deafd4386d9aa091ab