Verified Certificate

Supported by the following organizations

This is to certify that Ryan Butler successfully completed and received a passing grade in ROBO3x: Robotics: Dynamics and Control a course of study offered by PennX, an online learning initiative of the University of Pennsylvania.

Noted by

Vijay Kumar

Vijay Kumar

Nemirovsky Family Dean of Penn Engineering University of Pennsylvania

Ani Hsieh

Ani Hsieh

Research Associate Professor, Mechanical Engineering and Applied Mechanics University of Pennsylvania

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 a mission driven initiative created by founding partners Harvard and MIT.

About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.