You can see the unnamed lake in Boyata, and the east gate is not far away.
Tsinghua: The west gate of Tsinghua is near the east gate of Peking University. It's on its way. Also check the student ID card (but it seems to be released during the National Day holiday? Not sure).
Look at the Second School Gate, four ancient buildings (Tsinghua School, Science Museum, Auditorium and Library), and the nearby Spring Garden, Lotus Pond, I-shaped Hall and so on. All near the second school gate. Go in from the west gate and go straight for a few hundred meters.