Mr. Monk Goes Back to School - S2-E1
Continuity mistake: When Monk is leaving Derek Philby's classroom, he is quite content to just pick up a piece of chalk (with his bare hands) to write on the blackboard, but earlier, he makes sure to use a chalk holder to do this and nearly has a panic attack when he gets chalk dust on himself.
Mr. Monk Goes Back to School - S2-E1
Deliberate mistake: When Monk is first teaching his class, the class goes for less than 10 minutes.
Mr. Monk Goes Back to School - S2-E1
Continuity mistake: At the school tower murder scene, Randy's coat is buttoned up over his tie, but changes suddenly when Stottlemeyer says, "OK, bring him up." The coat is immediately unbuttoned and open all the way in the very next shot.
Mr. Monk Goes Back to School - S2-E1
Character mistake: Sharona invites Monk home for dinner. Monk is playing with his food, and Sharona guesses it is because the potatoes are mixed together with the carrots. Sharona asks Kyle to fetch two plates (So Monk can separate the potatoes and carrots.) As he tilts the dinner plate, Monk succeeds in scraping all the carrots onto one dish - save for one stray potato - all the while speaking. He completes his thought without removing the stray potato. In all other instances, Monk cannot allow such a transgression. He either corrects it before saying his piece, or after. But he cannot let it go.
Mr. Monk Goes Back to School - S2-E1
Character mistake: When Kathy is presenting her model of General Robert E. Lee's surrender to General Ulysses S. Grant on April 9th, 1865, she incorrectly states that the surrender occurred "at the courthouse in Appomattox, Virginia." The surrender didn't take place at the actual courthouse, but rather at the McLean House, a private residence selected by Grant and his aides for the meeting of two of the greatest generals in American history. This is a common misconception as the village itself is called Appomattox Courthouse. (00:29:05)
Mr. Monk Goes Back to School - S2-E1
Other mistake: Derek tells Beth to meet in their "usual spot" the next day at 8am. The next scene has Derek sitting at his desk and it looks like the kids are already in deep with their SAT tests. Beth falls at 8:25am (as per the clock in the testing room.) There is no way that Derek could have killed Beth, put her on the minute hand (later in episode on the Monk recap, it has 8:15am. If Derek was proctoring a SAT test, I don't know of any that start around 8:20 and immediately in depth.
Mr. Monk Goes Back to School - S2-E1
Factual error: In the cold opening, Derek said that his wife is very smart and got a 1680 on the SAT. This episode takes place in 2003, the writing portion that was added to make the max (2400, not 1600) was in 2005.
Mr. Monk Goes Back to School - S2-E1
Continuity mistake: Mr Monk completes his name on the chalk board at the beginning of class, but when class is dismissed the 'k' in Monk is incomplete.
Suggested correction: After he wrote his name, he says "what's up with that k?" and erases it. He started to re-write the k when he got hit by the eraser, leaving it unfinished.