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micromasters

Supported by the following organizations

This is to certify that William Bruns has successfully completed all courses and received passing grades to earn a MicroMasters program certificate in Algorithms and Data Structures a program offered by UCSanDiegoX, in collaboration with edX.

Noted by

Daniel Kane

Daniel Kane

Professor The University of California, San Diego

Alexander S. Kulikov

Alexander S. Kulikov

Guest Lecturer The University of California, San Diego

Michael Levin

Michael Levin

Guest Lecturer The University of California, San Diego

Neil Rhodes

Neil Rhodes

Lecturer The University of California, San Diego

  • MicroMasters program certificate Issued July 2021
  • Valid Certificate ID 97ca6e994cae4c97877e62d59a37329b

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.