Consider the double integral 

Which of these sketches depicts the region of integration?

Let be a region on the plane given in Cartesian coordinates  .    Suppose we introduce a new set of coordinates .  In the new coordinates, the region is given by .   Then a double integral over the region is transformed into the new coordinates as

where the Jacobian represents...

Based on your current understanding of each topic, which type(s) of question 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.

Evaluate the double integral     , where the domain of integration is the region between and . 

Let , and suppose that and are dependent on , with 

.

What is the derivative of with respect to , ?