To solve Laplace's equation

on a rectangle , requires:

For the function defined by for and , the Fourier coefficient can be found by:

Choose all that apply:

Let be the curve parameterised by , for 1.

Let , where .   

Then the value of line integral

is...

Let be a scalar field and be a curve defined by the vector valued function , . Then the line integral of  along is given by: 

where

Consider the Example 1.4.18 from the lecture notes. The radius of the sphere is halved to R/2 units.

Find the volume of the small sphere:

a)

b)

c)

Based on your current understanding of each topic, which worksheet question(s) would you most like the workshop leader to demonstrate?

There is no wrong answer to this question. The collective responses will inform the discussion in the workshops.

Consider the Example 1.4.18 from the lecture notes. The radius of the sphere is halved to R/2 units.

Find the volume of the small sphere:

a)

b)

c)