Outline For Final Exam
Outline for Exam 1 + Outline for Exam II +
1. Rotations with constant angular acceleration
2. Moment of inertia: point masses and table
3. Rotational kinetic energy
4. Curve sketching in polar coordinates
5 . Polar, cylindrical, and spherical coordinates: meaning of coordinates (r, theta, phi, etc.), graphs, converting between coordinate systems
6 . Double integrals in polar coordinates, triple integrals in cylindrical and spherical coordinates: determining limits of integration, computation, conversion from a double or triple integral in Cartesian coordinates, applications to computing
a. volume
b. mass from density
c. center of mass and centroids
d. moments of inertia
7. Waves
a. propagation of a pulse
b. sinusoidal waves
c. speed of a wave on a string