Rose, to Klees: You're standing at the gate, holding a sword, fighting off divergent series, stopping them from entering your maths.
Alex: So we could rewrite that fraction as csc^2(x), and then we could rewrite that with a Taylor series ... Schwartz: Rewrite it with a WHAT? I don't understand the words you're saying ... Schwartz: Tay-- Tay-- Taylor series? What's that?
// In the middle of the Anal 1 quiz on series convergence Schwartz: I'm going to say this once, and only once. Schwartz: *cough* /Prereqs/.
// Entering the dungeon Schwartz: And here you have the INTEGRAL TROLL. Schwartz: And it says "Fi fie fo fum, I see an n that needs to be turned into a continuous x!"
Schwartz: As you watch your long, odd, ... I'm running out of descriptors. Schwartz: As you watch your long, odd, FLESHY mass of arm move ...
//Schwartz has students move back and forth to demonstrate the Alternating Series Test Schwartz: This is a Proof by Dance. It is the only Proof by Dance I know of in mathematics.
Kirk, writing: If a lim (n -> inf) S_n does not exist then we say the series "S" *diverges* (and is trash 🗑️) // later, conclusions about a divergent series Kirk: It's not really a number. It's trash. It's not really useful to us. // later, conclusions about a different, more interesting divergent series Kirk: It's trash. ... It's beautiful trash; trash can be beautiful. // later, he calls another divergent series trash, draws trash can, then draws smiley face on trash can Kirk: And here's Grouch from Sesame Street. Kirk: Very bad version of Grouch from Sesame Street.
//Talking about series in precalc c pd. 9 Rose: Now, you have to be careful when you talk about infinity. So put on your careful glasses. Shyaer: Put on your careful yarmulke! //Ben takes out a yarmulke and puts it on
//Stein is handing back a test on Infinite Series. Neel gets 100 (Meow!). Student: I didn't get the telescoping one... Neel: There was a telescoping series? I didn't notice. [Stein snatches Neel's test out of his hand.] I probably shouldn't have said that out loud... [Neel gets his test back with a score of 95.] Neel: -headdesk- //Later that class, Neel is tearing up his test. Stein (to Neel): What are you tearing up? ... Was that your test? [Neel nods] You have a final exam coming up in this class. You're going to need that to study. Why would you do that? Neel: To destroy evidence of my failings... Stein: What, did you get other stuff wrong? Neel: I dunno, I didn't look at it.