MATH237 Study Guide - Final Guide: Unit Square

• School: University of Waterloo
• Department: Mathematics
• Course: MATH237
• Professor: Joseph J.West

Document Summary

Df (x, y)df 1(u, v) = i (c) verify that the jacobians satisfy. (x, y)(cid:21) 1: invent a transformation that maps the parallelogram bounded by the lines y = 3x . Estimate the area of the image of a small rectangle of area x y. (b)* find and sketch the image of the disc x2 + y2 1 under the map. Make a conjecture about the area of the image. Comment: for the sketch, try to resist the tempation to use a computer at rst. There is a way to get an idea of the shape by hand.