In The Big Bang Theory Season 5, Episode 10, "The Flaming Spittoon Acquisition," Sheldon Cooper navigates jealousy when Stuart asks Amy on a date, prompting him to officially ask Amy to be his girlfriend. The episode features the debut of their 31-page "Relationship Agreement" and subplots involving a new Mystic Warlords of Ka'a expansion pack. For a full summary and details, visit IMDb . The Flaming Spittoon Acquisition - IMDb