Verified Certificate

Supported by the following organizations

This is to certify that Ran Liu successfully completed and received a passing grade in CS1332xII: Data Structures & Algorithms II: Binary Trees, Heaps, SkipLists and HashMaps a course of study offered by GTx, an online learning initiative of the Georgia Institute of Technology.

Noted by

Dr. Mary Hudachek-Buswell

Dr. Mary Hudachek-Buswell

Associate Chair of the School of Computing Instruction Georgia Tech College of Computing

Dr. Nelson Baker

Dr. Nelson Baker

Dean of Professional Education Georgia Tech Professional Education

Dr. Charles Isbell

Dr. Charles Isbell

John P. Imlay Dean of Computing Georgia Tech College of Computing

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.