From deep within the cave, monsters awaited
With such taxonomies as Rationalization, Fractions,
Linear Equations, and Quadratic Equations
And of course, Trigonometric and Exponential and Logarithmic Functions.
The resident tour guide had to calm the explorers’ fears.
It seemed like a horizon of despair
Only to see that in the Limit
As x approached some number a,
It wasn’t so bad. The cave continued sloping
Upward to new discoveries.
Yes, they took smaller and smaller steps, seeing exactly
How much closer they were to the surface.
The explorer’s height derivative was positive.
The confidence curve of the spelunkers appeared to be concave up.
Though a dip occurred as they encountered Related Rates.
And their tour guide even had a dip after a Rational Monster showed to be too complicated.
These steps began to add up for the explorers.
They have wondered how long, as they dutifully gave their number of steps per day.
Add ’em up, the tour guide admonishes.
And keep in mind that things can disintegrate
Once you have mastered the fundamental theorem.
You must use it wisely.
The cave got lighter and brighter.
A mysterious rock outcropping seemed to have
The same cross-sectional area throughout.
An elusive talisman that the tour guide
Had wanted to find to more easily
Demonstrate a solid of revolution
Without having to throw the vuvuzela about
Ugh, never revolve f(x) = 1/x about the x axis…
So nearly to the exit! The light is clearly visible.
But a smokescreen obscures the light.
Yes, said the tour guide.
Each of you must bravely face
The smoke and monster that lie ahead.
This is your final test
And remember that I have full confidence in your abilities.
Lincoln: 08 days
J-Term: 21 days
Israel: 173 days