Take These Pills and Shove 'Em - S1-E2
Continuity mistake: When Becker walks in Mrs. Cooper has the stethoscope ear piece in her ears and can't find her heart beat. Becker moves the chest piece, and when the shot changes the ear piece is now around her neck.
Take These Pills and Shove 'Em - S1-E2
Continuity mistake: At the beginning of the episode at the dinner Becker has a cigarette that keeps changing from his right to his left hand.