Sunday is Hoshana Rabba. During the morning prayers, we follow a custom of the ancient prophets of Israel. We circle the Bima (reading table) 7 times, saying prayers, and then we take a bundle of 5 willow branches, and strike them 5 times on the floor, asking G-d to judge His world with mercy.
Monday is Shemini Atzeres. It's a holiday all by itself. On this day, we ask G-d for rain in Israel.
Tuesday is Simchas Torah! We dance with the Torah, then we read the last section (Parsha) in the Torah and, right away, begin it again!