Verified Certificate

Supported by the following organizations

This is to certify that Christopher David Roller successfully completed and received a passing grade in 3.024x: Electronic, Optical, and Magnetic Properties of Materials a course of study offered by MIT, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Polina Anikeeva

Polina Anikeeva

Class of 1942 Associate Professor in Materials Science and Engineering Massachusetts Institute of Technology

Krishna Rajagopal

Krishna Rajagopal

Dean for Open Learning Massachusetts Institute of Technology

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About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.