For my 4 years of chemical engineering (graduated in 2012) at OSU there were no petroleum engineering courses offered or talked about. That being said, they may be in the process of adding some, I'm not really sure. However, many of my friends in both chemical and mechanical engineering were able to secure internships and full-time jobs with major oil companies. There are several professors in chemE who teach traditional process design and development classes that would be useful in the oil industry, as well as very good transport phenomena, fluid dynamics, rheology, and polymer classes that would also be useful.
TL;DR - OSU is a good place to be for those who desire jobs in the oil industry.