Notice that you need some cash with you to buy the tickets: coins are not required and high denomination notes are all accepted. To purchase a ticket, insert cash in the automated ticket counter besides the subway entrance gate and press the button corresponding to your journey fare. Change is always available. Fares depend on the distance covered, but don't worry: if you chose the wrong fare, you can always adjust its price (in either way) at the arrival stop, either at the automated "fare adjustment machine" or at the counter. Here is the link to the official website of Nagoya Public Transport.
Here is a map of the main lines serving the city of Nagoya.
If you depart from Kanayama, follow the signs to the "Meijo line" (the purple line). Get on the train, direction "Aratama-bashi", and get off at "Nagoya Daigaku" stop (it is the 11th stop).
If you depart from Nagoya main station, follow the signs to the "Higashiyama line" (the yellow line). Get on the train, direction "Motoyama", and get off at "Motoyama" stop (it is the 8th stop). From Motoyama, follow the signs to the "Meijo line" (the purple line). Get on the train, direction "Aratama-bashi", and get off at "Nagoya Daigaku" stop (it is the first stop). In fact, if you prefer, Nagoya University is only 15 minutes walk away from Motoyama.
Once in Nagoya Daigaku metro station, click here for further information.