Verified Certificate

Supported by the following organizations

This is to certify that Andrew Zhou Miller successfully completed and received a passing grade in SOE.XMATSCI0001: Thermodynamics and Phase Equilibria a course of study offered by StanfordOnline, an online learning initiative of Stanford University.

Noted by

Alberto Salleo

Alberto Salleo

Professor, Materials Science and Engineering Stanford University

  • edX
  • Verified Certificate Issued October 20, 2023
  • Valid Certificate ID 31baeee6e9ef46ca8297819db0f2e208

  • Please note: some online courses may draw on material from courses taught on-campus but they are not equivalent to on-campus courses. This statement does not affirm that this participant was enrolled as a student at Stanford University in any way. It does not confer a Stanford University grade, course credit or degree.

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