How is Ohio State University for a MS in computer engineering in terms of the quality of courses and placements?

It is seriously top-notch. It used to rank about USA's top 25 Engineering Schools and is presently at #30- which means it might have slipped a bit lower but is still counted among the big names. OSU offers an MS in computer engineering in two forms; research track which requires a thesis completion as well as 30 credit hours and a coursework track which requires 33 credit hours without the need of a thesis. Research is a big part of the master’s degree and with professors here conducting research in areas such as Natural Language Processing (NLP), Artificial Intelligence (AI), Big Data etc. you are assured of a quality teaching. Also many times, the professors will also incorporate projects based on the theoretical implementations which is really beneficial for the students. Any college needs to be of excellent quality to maintain this position consistently. 

As far as placements are concerned, it will depend on the overall job market during the time of your course completion. Also how much you have accomplished and the knowledge you gained during the course play a huge role during placements. Rest assured, this is a STEM program from a very prestigious state university, so you are assured of at least entry level jobs with decent to good grades. Some of the biggest recruiters who have visited the campus include Facebook, Microsoft, Google etc.