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xseries

Supported by the following organizations

This is to certify that Pattarapol Koosalapeerom has successfully completed all courses and received passing grades for an XSeries Program certificate in Introductory Mechanics a program offered by MITx, in collaboration with edX.

Noted by

Deepto Chakrabarty

Deepto Chakrabarty

Professor of Physics Massachusetts Institute of Technology

Krishna Rajagopal

Krishna Rajagopal

Dean for Digital Learning Massachusetts Institute of Technology

  • XSeries Program certificate Issued March 2020
  • Valid Certificate ID 78ea6b4d03fe4cec98f709639c823c65

For tips and tricks on printing your certificate, view the Web Certificates help documentation.

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is an online initiative created by founding partners Harvard and MIT.

About the edX XSeries Program certificate

An edX XSeries Program certificate signifies that the learner has completed a group of courses that add up to a rich understanding of an area of study. Completion of XSeries Programs requires that learners earn Verified Certificates from each of the courses included in the Program.