Monte Carlo Integration Fast in-class demonstration of the Monte Carlo technique of integration. This worksheet was done by the students in class. It looks at setting up integrals in polar coordinates and switching between rectangular and polar coordinates. Curves Parameterizing curves in R2 and R3 Sec. 16.3 Parametric Surfaces How to parametrize surfaces.
Special attention is given to surfaces of revolution.
Motion Parameterizing planetary motion under gravity. This is a demonstration worksheet and was done after Chapter 17. It solves for planetary motion with a flow line solution of a vector field in 4 dimensions. The orbits of Mars and Halley's comet are studied as examples. Plotting flow lines for vector fields in 2 and 3 dimensions.