A Solar Calculator, a Game Ball, and a Cheerleader's Bosom - S1-E5
Factual error: In this episode we see George throwing a ball against his bedroom wall. On the wall is a picture of Axl Rose wearing shorts in the pattern of the USA flag. This photo is from the Guns N' Roses appearance at Rock In Rio 2 festival in Jan 1991. The show is set in 1989. 2 years prior to the photo the poster is made from is taken.
A Solar Calculator, a Game Ball, and a Cheerleader's Bosom - S1-E5
Factual error: The commentary suggests that Sheldon had the correct solution to problem 1 and merely lost points on the quiz because he didn't show his work. In reality he did the first problem incorrectly. Taking the derivative of (x+2) ^2+ (y+1) ^2 = 13 with respect to x yields: 2* (x+2) +2* (y+1) * (dy/dx) = 0 which implies that: dy/dx = - (x+2) / (y+1) and at the point (0,2) this means that the slope dy/dx is actually equal to - (2/3), not 2/3. It is correct that when using the form y=mx+b at the point 0,2 reveals that 2=m*0+b, or that b=2. So the correct equation for the tangent line is y = - (2/3) x + 2, not y = (2/3) x + 2 as shown in the episode. (00:13:55)
A Solar Calculator, a Game Ball, and a Cheerleader's Bosom - S1-E5
Continuity mistake: When Connie is playing the slot machine at the end, the wheels land in a set order. She then has a chat with someone and then goes to spin again, but the wheels are in different positions than before. We see Connie through all of this, and she doesn't spin between the two instances outlined here. (00:17:30)
A Solar Calculator, a Game Ball, and a Cheerleader's Bosom - S1-E5
Continuity mistake: When George Sr sits down to talk statistics with Sheldon at the kitchen table, his beer bottle keeps rotating in his hand. Note the label. (00:08:30)
A Solar Calculator, a Game Ball, and a Cheerleader's Bosom - S1-E5
Continuity mistake: At the start, when George Jr. says "4th down," Connie goes from holding her beer to drinking her beer in an instant cut. (00:00:30)
Answer: Some people just have a dislike for someone that can't be explained. Could be as simple as the way he's dressed.