Skip to main content

micromasters

Supported by the following organizations

This is to certify that Patrick Chang has successfully completed all courses and received passing grades to earn a MicroMasters program certificate in Business Analytics a program offered by ColumbiaX, in collaboration with edX.

Noted by

Hardeep Johar

Hardeep Johar

Senior Lecturer in Discipline Department of Industrial Engineering and Operations Research Columbia University

Kamel Jedidi

Kamel Jedidi

John Howard Professor of Business and Chair of the Marketing Division Columbia University

  • MicroMasters program certificate Issued September 2018
  • Valid Certificate ID b054c05d23754444b06232ca038b81e5

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.