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professional-certificate

Supported by the following organizations

This is to certify that İdil Ay successfully completed all courses and received passing grades for a Professional Certificate in Mastering Calculus a program offered by DelftX, in collaboration with edX.

Noted by

Professor Arno Smets

Professor Arno Smets

Director Extension School Education on behalf of the Quality Assurance Board Delft University of Technology

  • Professional Certificate Issued August 2025
  • Valid Certificate ID 8407d6e8e7cd435d9c9c9468968e9cda

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.