 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2014/discrete-mathematics-continuous-mathematics-and-probability/6/a/i/solution

Differentiating the polynomial coordinate map gives

x_{u} = u, x_{v} = - v, y_{u} = u, y_{v} = v .

\frac{\partial ( x , y )}{\partial ( u , v )} = (u u - v v), det \frac{\partial ( x , y )}{\partial ( u , v )} = 2 uv .

 New to topics? Read the docs here!