Your itinerary ought to include a walk through Thapar University. It's a well-known local institute with a vibrant campus life.
Situated in Patiala, this modern university is worth a visit. But you'll find plenty more to check out in this area. Gurdwara shri Dukh Nivaran Sahib, Kali Mata Temple, and Omaxe Mall aren't too far from Thapar University.