∫0(this is retarded) 1 dx

It is currently 17:42, and I am in the basement of the library. I have a test that I was going to take Friday.. er... Saturday... uh.. today... I guess tomorrow. I am sincerely dead. Let me tell you about the grand lewdities that are encompassed in my math test here.

1. Line Integrals.

• W=∫F·dr= ∫F(r(t))·r'(t)
• If F is a force field, this integral represents work performed in traversing the curve.
• Parametrization for r when broken up amongst multiple curves is given through (1-t)r₀+(t)r₁

2. Other coordinate systems

• Cylindrical Coordinates: x=r·cosθ y=r·sinθ x²+y²=r² and dV=drdθdz
  
• Spherical Coordinates: x=(ρ)cos(θ)sin(φ) y=(ρ)sin(θ)sin(φ) z=(ρ)cos(φ) and dV=dρdφdθ

3. Divergence, Gradient, Curl

• Divergence div(F)=∂M/∂x + ∂N/∂y +∂R/∂z = ∇·F
• Curl curl(F)=(∂R/∂y-∂N/∂z)i-(∂R/∂x-∂M/∂z)j+(∂N/∂x-∂M/∂y)k = ∇ x F

4. Green's Theorem

• ∫F·dr=∫∫_R(∂N/∂x-∂M/∂y)dA
• Area of R=1/2 ∫(-y)dx+x dy

5. Surface Integrals

• ∫∫_R(1+(f_x)²+(f_y)²)^1/2 dA=surface area of.. well... a surface
• ∫∫_R(φ(x,y,f(x,y))(1+(f_x)²+(f_y)²)^1/2 dA=integration of a function over a given surface

6. Stokes's Theorem

• ∫F·dr=∫∫_Scurl(F)·n dS
• I sincerely have no idea what this is used for...

7. The Divergence Theorem

• ∫∫_SF·n dS=∫∫∫_Udiv(F)dV
• Again, not a clue.

Let it be noted that there were supposed to be a few"C" subscripts after various integral signs, and also that some of the integral signs are supposed to have little circles in them, but 1. I was too lazy to go back and insert the subscripts after I figured out how to make them and 2. I didn't know how to make the fancier integral sign.

I am going to try to study some more now.

Have no fear of perfection, you'll never reach it.

The title of the day is from Salvador Dali. I think that he was quite mistaken. I am going to show you why:
If you can't notice why, I got a smoking 100 on this nasty. Go ahead. Click on it. Zoom in. Scrutinize her. If you look close enough, it looks like I actually got a 41 on the second problem.

Here is a bit more of the glorious day for you. I met up with Stennett after my classes, and we made a diligent effort to do our homework and study. Instead, we ended up sending a hackysack down the large spiral staircase in the JFSB. It was great. We also went back to his apartment to make some food. Here is another picture for you to see what we did.Yes, the burner is on. Yes, we cooked the chili (con carne with beans/with meat con frijoles). Yes, we ate pancakes with it. Yes, we are enlightened.

Then, I went to work. It was a busy, busy day. Wait, nope. Here is a picture of Dwill and I working.This photo's caption is "Dave is his own loan-shark." He just finished telling me how he had to pull money from one bank account to pay for fun things, and now he has to pay it back. He even gave himself a good interest rate. And now he just told me that he glued a wheat thin together with cheese.