Tuesday, March 27, 2007

Look Upon My Schedule, Ye Mighty, And Despair

This week is beginning to resemble some sort of anti-Spring Break.

It's as if the gods of scheduling looked down upon me as I engaged in wanton time slaughter last week and decided to punish me for my hubris. And so they crafted the week of March 25th-31st, a kind of a dark mirror on all of human time-management. When I look upon this week I see reflected in it my own recklessness, all the wasted hours of Wii golf and Harry Potter come back to haunt me.

Gaze upon it, but remember, the schedule gazes also:

Monday:Tennis begins

Tuesday: School, then honor's band practice in St. Cloud--get home at 9:30

Wednesday: Calc test (goddamnit, I still don't understand the shell method), more tennis

Thursday: First ever in-class DBQ in Lang, Econ test, begin practice AP test in German, yet more tennis

Friday-Saturday: Catch a 6:30 bus to go practice for honors band, then all day at CLC band thing, then four hours of dead space, then honors band concert, get home at 9:30, go to Ubernachtung, stay up all night throwing spears at 9th graders, possibly go to part of 8-12 am tennis thing (I kinda doubt this; Hell, I don't even know exactly when it is)

I'm happy with the number of Watchmen and Sandman references in this post.

P.S.: I realize this schedule isn't really that bad, it just feels that way after break, so please don't leave any whiny college-is-so-much-busier-you-have-no-idea polemics in the comments. Unless if you reeeealy want to.



At 11:19 PM, March 27, 2007, Blogger constant_k said...

Oh man I almost forgot, sweet pun at lunch today.

So ashley was peeling the foil off the top of her yogurt and I noticed there was some writing on the underside.

Max: Hey, does that foil have a joke on it?
Ashley: No...
Max: That's too bad, because then it would have been a COMIC FOIL.


At 11:51 PM, March 27, 2007, Blogger Houley said...

i'm so busy i have no time to leave polemics.

At 12:32 AM, March 28, 2007, Blogger matt said...

im too busy i have no time to look up the word polemic

At 12:36 AM, March 28, 2007, Blogger Josh said...

college isn't all that busy

most of the time i'm just learning to shape plaster y'know

At 12:02 PM, March 28, 2007, Blogger mayah said...

despite the hell that is college half the time, the other half you sleep til 11 and waste time til 1 and then have two hours of class and you're done for the day...
sorry i couldn't help you w/ blong's so-called "shell-method" - it's been two years since i've done calc w/o application, thanks to calc/engineering classes and thermo and physics and all that neat stuff.

At 11:44 PM, March 28, 2007, Blogger Houley said...

this stuff is still relatively fresh in my mind.

shell method in a nutshell:

think of the integral as a summation of infinitely thin cylinders. each of these cylinders is so thin that its volume is just the same as its surface area, that is, 2(pi)rh. each cylinder has a unique radius r determined by its distance from your axis of rotation and a unique height h found between the function and the axis (or between two functions). Since your objective is to sum all the cylinders, your integral will encompass all possible radii; therefore, the "r" in 2(pi)rh becomes a dr in your integral, and the limits of your integral (the endpoints of your integration) will be the minimum and maximum radii. the 2(pi) is constant and can come out of the integral, leaving V = 2(pi)(integral from smallest radius to largest radius) h dr.

Of course, you're dealing with Xs and Ys and not r's, so knowing which one to pick can be helpful. The intelligent/real way to go about it is to determine along which axis your integration is being carried out; that is, along which axis does your radius lie. If it lies along the X-axis, your dr will be a dx, and your h will have to be written in terms of x throughout the integral; your function h should be solved in terms of "y=". The exact opposite is true in each case if your radius lies along the Y-axis.

The simple/confusing way of determining whether to use dx or dy is as following: disc is "same-same" and shell is "no-same-same" (you can remember this because "disc" is shorter than "shell" and "same-same" is shorter than "no-same-same"). What "no-same-same" means is that if you are revolving your function around an axis, you must use the letter of the opposite axis in your integral: a revolution around y is calculated using dx and vice versa.

I really don't know what "same-same" and "no-same-same" mean, but that's how Blong taught us, and it's stuck.

That's all for now. Tune in next week for "Disc vs. Shell: How Do I Know Which One To Use?!"


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