fandomhigh | MATHS CLASSES: Friday 21.10

MATHS CLASSES: Friday 21.10

Charlie's desk is overflowing with papers today, and two of the blackboards are covered with x, y, brackets, equal signs and exclaimation points. Charlie seems a little frustrated but mostly cheerful. He tells you that he's moved his office hours to Tuesdays, and that four consecutive classes missed without an excuse now equals being kicked out of class. He then gives you a sheet of paper and tell you to go sit down.

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"Archie, Lisa, Kitty, Thomasina, Broots -- I need a TA. As you're in my advanced group, you get first shot at the position. If this is something you're interested in, please fill out this application (http://www.livejournal.com/users/charlieeppes/634.html). Then you may spend the rest of class telling me why e is irrational." Charlie beams.

"Umm... what do we do with the rest *sneeze* of class, then?

Oh, and Professor Eppes, I have a note for my absence on Wednesday from Dr. Wilson in the clinic. Sorry, I've been *cough* sick."

"Well done!" Charlie takes her paper and scans it, beaming. He winces a little at her coughs and nods. "Valid abscence that, I won't hold it against you." He eyes her for a moment. "You were absent the day we talked about what you want to be doing, right? Broots, Thomasina and Kitty were interested in computers, Archie in navigation... What about you?"

"My main interest is in medicine, actually, but one must be well-versed in math and science to properly study the field. Biomathematics is an interesting course of study. I am fairly fluent in computers, but surely not to the degree some of my fellow classmates are. I would also be interested in studying that kind of technology more in depth." Lisa smiles and sneezes again.

Charlie nods. "I believe I'll have your first project be computer related." He looks uncertain for a moment. "I wasn't quite sure who to contact to set it up, but I left a message on Dr. Carter's voicemail, in case she'll be able to help."

Thomasina has to think for a moment before remembering this one, but when she answers, it is with completel confidence. e's irrationality can be demonstrated through a proof based on its series expansion. If one supposes that e=a/b, and that a and b are positive integers, one can then demonstrate that for the number x=b!(e - Σ 1/n!) [b, n=0] x is not only an integer, but a positive integer that is less than 1. Since there are no positive integers less than 1, e is, of necessity, irrational.

[OOC: Please forgive my bastardised notation. The b obviously belongs over the Σ and the n=0 below it.]

"Excellent, Thomasina!" Charlie smiles.

((ooc: dude, like I'd know. *g*))

Thomasina smiles back, quite cheerfully. Thank you. That one's quite simple to prove - unlike Fermat's joke.

[OOC: Yeah, well, Charlie would. *g* So I'm just saying that the notation used to write that out does not in fact represent what Thomasina would have actually literally said accurately. It's not horrible, but it's not right either. And I'm obsessive, but feeling too lazy to dig out a means of making the notation correct for the purposes of posting one comment.]

(ooc: Oh he totally would. *agrees* And, hee! That's fine. I'm delighted that you're doing the excercise at all. Seeing students replying makes me all beam-y and things.)

[OOC: Hey, it's fun. And it's a delight and a pleasure to make you all beam-y and things. *grins and skritches the ~~Jake~~Charlie-mun*]

(ooc: *purrrr*)

[OOC: *g* Now get back in character, you. We wanna play with Charlie.]

((This was an actuall assignment for me a few days ago. Except, can't remember it anymore...))

Broots gives the correct answer and ponders becoming a TA.

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