Skip to main content

professional-certificate

Supported by the following organizations

This is to certify that Jack Lloyd Beaty 3rd successfully completed all courses and received passing grades for a Professional Certificate in Essential Math for AI Programming & Data Structures a program offered by ColumbiaX, in collaboration with edX.

Noted by

Jenny Mak, Ed. D.

Jenny Mak, Ed. D.

Senior Associate Dean, Academic Programs Columbia Engineering

  • Professional Certificate Issued October 2025
  • Valid Certificate ID d51a7650a3fb41cb85685ab91cadcc5c

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 Professional Certificate

An edX Professional 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 Professional Certificate Programs requires that learners earn Verified Certificates from each of the courses included in the Program.