A Math Emergency and Perky Palms - S2-E15
Continuity mistake: When talking to Mr Gilford, his arm is constantly on or off his walking stick, depending on the shots. (00:12:10)
Rockets, Communists, and the Dewey Decimal System - S1-E2
Other mistake: As Young Sheldon is a prequel series to Big Bang Theory, this episode is at odds with episode 2-13 of Big Bang Theory, "The Friendship Algorithm," in which Sheldon is unfamiliar with books like "How to Make Friends and Influence People," which he reads in this episode of Young Sheldon, produced nine years later but taking place twenty years earlier.
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 Baby Tooth and the Egyptian God of Knowledge - S3-E20
Factual error: Georgie removes his stash of cash from the air vent in his bedroom (envelope with a photo of a mustang taped to it) and the cash ($20 bills) have a serial # starting with the letter "C" which is a series of bills that were not printed until 2001. (00:15:14)
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 Suitcase Full of Cash and a Yellow Clown Car - S5-E16
Factual error: In the closing shot of this episode, a pile of cash is down close up. The bills are current circa 2000s and the show is set in the late eighties. The bills didn't have the current security markings that we have now.
White Trash, Holy Rollers and Punching People - S5-E21
Factual error: When Georgie goes to the doctors office with Mandy, when he walks in you can see a modern covid-19 safety poster behind his shoulder. (00:11:00)
Continuity mistake: When Sheldon is putting his mittens on at the table he his seen putting the first one on and the second one is on the table, the shot changes and the mitten is no longer on the table. He raises his hands and both hands have mittens on them. (00:01:55)
A Sneeze, Detention, and Sissy Spacek - S1-E13
Visible crew/equipment: When Sheldon is running away from Mary in the garage, the set lights are reflected in his helmet. (00:18:00)
Jiu-Jitsu, Bubble Wrap, and Yoo-Hoo - S1-E17
Plot hole: Near the start we see Sheldon using physics to try and take down Tam. This completely goes against all of Sheldon's phobias about touching people, especially socks. Even before this episode he has shown his displeasure at the thought of touching people. (00:05:00)
A Computer, a Plastic Pony, and a Case of Beer - S1-E12
Continuity mistake: When we see Sheldon in bed at the start he's either flat on his back or on his side depending on the shot. (00:03:45)
A Patch, a Modem, and a Zantac - S1-E6
Factual error: At the start of the episode when someone is talking at the podium, there's a a periodic table behind him on the wall. On the left of barium, 'Sc' for scandium is there instead of 'Cs' for cesium. (00:00:40)
Continuity mistake: When Sheldon and Missy are sitting at the table, Missy puts a paper in the basket in front of her. A couple of shots later when she says "sounds right" the paper has disappeared. In the next shot it reappears, in a different position than it was before. (00:06:20)
Freshman Orientation and the Inventor of the Zipper - S4-E6
Plot hole: Memaw gets a call from Dr. Sturgis saying that he has moved to Waxahatchie and would she please call him back. He does not say the new phone number, and this was well before cell phones were in widespread use by the general public, so it could only be a land line. Memaw calls him back, although she could not know the number.
Suggested correction: Just watched the clip. Sturgis calls Mary, leaves a message. She calls him back; I'd guess his local number. He says "I've taken a job there", which is what you say when you're not at the place yet (otherwise you'd say here). Says he won't be there when Sheldon starts college.
Suggested correction: Memaw could have caller ID, or she could have called information.
Caller ID was first available in December 1988, and it's unlikely that Memaw would have it that early. The story takes place before that time. It is possible that she called information, but when did she do it?
A Nuclear Reactor and a Boy Called Lovey - S2-E13
Continuity mistake: When Georgie is writing a letter to Veronica, the handwriting changes drastically from when we first see it to when we see it a few seconds later. Note Veronica's name. (00:10:30)
A Nuclear Reactor and a Boy Called Lovey - S2-E13
Continuity mistake: When George is talking to Veronica at the lockers, there is an extra behind him who is constantly appearing and disappearing at the lockers behind him. (00:02:00)
A Stunted Childhood and a Can of Fancy Mixed Nuts - S2-E10
Continuity mistake: When Missy and Paige are tying George's feet together, the position of their hands and the rope is constantly changing between all the camera angles. (00:08:20)
A Stunted Childhood and a Can of Fancy Mixed Nuts - S2-E10
Continuity mistake: When we see Missy and Paige in the bedroom, Paige has something in her hands that swaps position between two consecutive shots. (00:07:10)
A Stunted Childhood and a Can of Fancy Mixed Nuts - S2-E10
Visible crew/equipment: When Missy puts her sunglasses on in the car, a square stage light is reflected. (00:04:00)
An 8-Bit Princess and a Flat Tire Genius - S2-E8
Continuity mistake: Near the end, when Hershal is talking to George over a beer, the position of the two empty spots in the pack keeps changing. In some shots, the 2 beers are taken from one side, and in others, one is taken from each side. (00:15:30)