Then your choices are academia, probably involving staying on to do a phD and following whatever academic CS track there is, or impressing a big company that does actual CS research (of which there are not many).
The wages in academia will be pitiful. Going private, you'd probably have to start as a programmer and edge towards the CS. Junior programmer wages vary wildly.
I recall a university in which Computer Engineering and Computer Science were literally identical. The degree name was just changed depending on whether the government was handing out more money for engineering or science.