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xseries

Supported by the following organizations

This is to certify that Juan Ángel Ramírez has successfully completed all courses and received passing grades for an XSeries Program certificate in 18.03x Differential Equations a program offered by MITx, in collaboration with edX.

Noted by

David Jerison

David Jerison

Professor of Mathematics Massachusetts Institute of Technology

W. Eric L. Grimson

W. Eric L. Grimson

Interim Vice President for Open Learning Massachusetts Institute of Technology

Christopher Capozzola

Christopher Capozzola

Senior Associate Dean for Open Learning Massachusetts Institute of Technology

  • XSeries Program certificate Issued September 2022
  • Valid Certificate ID 781f2720416d441bb14b5beb07971101

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.