Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.2 Change to Better Coordinates, #15 · Multivariable Calculus · Change of variables

The region … has straight sides …, …, …,

Change four-sided regions to squares.

The region $R$ has straight sides $x = 0$ , $x = 1$ , $y = 0$ , $y = 2 x + 3$ . Choose $a, b, c$ so that $x = u$ and $y = a u + b v + c uv$ change $R$ to the unit square $S$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.2 Change to Better Coordinates, #15

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