Computer science is the subject that deals with mainly thoery and experimentation.example we studied the big o notation and basic complexity in algorithms and various codes.on the other hand computer engineering is a stream of engineering dealing with in depths of computer science and has various subjects like operating systems(OS),dbms(database management),dsp(digital signal processing), DE(digital electronics), advance data structures etc..

Hello,
Actually CSE is an engineering branch and CS is a particular field in which you want to study and gain knowledge.
CSE is the study of CS ...like Computer Architecture, Computer Languages, etc.
Good luck.