Math 233 Calculus 3, Spring 2005
Date: Sat, 9 Apr 2005 12:11:20 -0500 (CDT)
From: Ilya Krishtal <krishtal@math.wustl.edu>

List of skills for exam 3.

1.	Approximate the double integral using Riemann sums.
2.	Evaluate iterated integrals.
3.	Calculate the volume under a given surface.
4.	Compute double integrals.
5.	Evaluate double integrals by reversing the order of integration.
6.	Evaluate double integrals using polar coordinates.
7.	Find the average value of a function of 2 variables.
8.	Compute mass, moments, and the coordinates of the center of mass
	 of a lamina.
9.	Compute the moments of inertia of a lamina.
10.	Solve problems involving the joint probability density function of
	 2 random variables.
11.	Find the surface area of a parametric surface.
12.	Find the surface area of the solid of revolution.
13.	Evaluate triple integrals.
14.	Find the volume using triple integrals.
15.	Find the average value of a function of 3 variables.
16.	Evaluate triple integrals using cylindrical or spherical
	 coordinates.
17.	Evaluate the Jacobian of a transformation.
18.	Determine the image of a region under a given transformation and
	 compute its area.
19.	Make a change of variables in double/triple integrals.
20.	Compute line integrals with respect to the arc length.
21.	Compute line integrals of vector fields.
22.	Determine whether a region is open, connected, and simply
	 connected.
23.	Determine whether a 2D vector field is conservative.
24.	Find the potential function of a vector field.
25.	Compute line integrals using the corresponding FTC.
26.	Compute work using line integrals.
27.	Find mass, moments, center of mass of a thin wire.
28.	Compute line integrals using Green's Theorem.
29.	Compute the area of the region enclosed by a curve.
30.	Compute the flux integral.