This preview shows page 1. Sign up to view the full content.
Unformatted text preview: s of the diamond to find a transformation to a square. This works since the vertices are
connected linearly so I can use a linear transformation. Example:
This example is motivated by simplifying the integrand instead of the region of integration. Example:
This example you are given the substitution equations and need to find the Jacobian and the transformed area to
evaluate the integral. Last Example:
This is to show that the Jacobian also works for 101B: Evaluate the definite integral by a change of variables and the use of the Jacobian. Where Summary of Section 13.8
1 Find a transformation that will map a nonrectangular region represented by a double integral into a rectangular
region 2 Use your transformation and the Jacobian to set up the double integral with your new variables and evaluate...
View
Full
Document
This note was uploaded on 03/05/2014 for the course MATH 101c taught by Professor Loukianoff,v during the Spring '08 term at Ohlone.
 Spring '08
 Loukianoff,V
 Calculus, Integrals

Click to edit the document details