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xseries

Supported by the following organizations

This is to certify that Craig Michael Traub has successfully completed all courses and received passing grades for an XSeries Program certificate in PredictionX a program offered by HarvardX, in collaboration with edX.

Noted by

Alyssa Goodman

Alyssa Goodman

Robert Wheeler Willson Professor of Applied Astronomy Harvard University

  • XSeries Program certificate Issued January 2022
  • Valid Certificate ID 045dae376f28453ea518dc5a6dccaf67

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.