Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.2 Change to Better Coordinates, #14 · Multivariable Calculus · Change of variables

Choose … so that the change …, … takes the previous …

Change four-sided regions to squares.

Choose $a, b, c, d$ so that the change $x = a u + b v$ , $y = c u + d v$ takes the previous $R$ into $S$ , the unit square $0 \leq u \leq 1$ , $0 \leq v \leq 1$ . From the stretching factor $J = a d - b c$ find the area of $R$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.2 Change to Better Coordinates, #14

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