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micromasters

Supported by the following organizations

This is to certify that Jeffrey Karpan has successfully completed all courses and received passing grades to earn a MicroMasters program certificate in Analytics: Essential Tools and Methods a program offered by GTx, in collaboration with edX.

Noted by

Richard Vuduc

Richard Vuduc

Associate Professor The Georgia Institute of Technology

Joel Sokol, Ph.D.

Joel Sokol, Ph.D.

Director, Master of Science in Analytics, and Associate Professor The Georgia Institute of Technology

Sridhar Narasimhan

Sridhar Narasimhan

Professor The Georgia Institute of Technology

  • MicroMasters program certificate Issued November 2019
  • Valid Certificate ID 263da78d6f2647a083f836e33ca1df56

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 MicroMasters credential

An edX MicroMasters credential signifies that the learner has completed a group of courses that add up to a rich understanding of an area of study. Completion of MicroMasters Programs requires that learners earn Verified Certificates from each of the courses included in the Program.