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professional-certificate

Supported by the following organizations

This is to certify that Aaron Joseph Willard successfully completed all courses and received passing grades for a Professional Certificate in Engineering Design and Simulation a program offered by MathWorks, in collaboration with edX.

Noted by

MathWorks

MathWorks

Course Team MathWorks

  • Professional Certificate Issued January 2026
  • Valid Certificate ID 271580db8f5a4e7ab59fa2a7efa51fdc

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.