It's The Big Bang Theory canon that Sheldon Cooper started college at age 11, and our boy young Sheldon (Iain Armitage) is right there. As we saw earlier in Season 3, Sheldon wants to go to Caltech after paying a visit to the school; and in the finale, Sheldon learns that Caltech wants him, too. He also finds out that someone was keeping that fact a secret, as this exclusive sneak peek shows.