Change of Variables and a new idea

Before I get started with the main focus of today's post I would like to share a few links I've found that might prove helpful in understanding change of variables in multiple integrals. Here is one, and here is another. Here is a video:


An unexpectedly popular portion of the last post was the ability for you to submit solutions to some of the examples. Due to this popularity, I am going to give the class to opportunity to post solutions here at least once a week. I have emailed the entire class a username and password that will allow you to edit posts in order to post your solution. Indicate on your solution your name so I can give you credit. The first solution will fulfill the "participation" portion of your grade. Each additional solution will earn you some extra points. The following is a list in order of preference of how to post solutions:

1. Use LaTex to type up your solution, here is an online complier.  Then upload the pdf to google docs using the username and password I provided. Once in google docs you can get a link for the file and attach that to the example on the blog.
2. Use anything else you type up your solution and attach it to the example.
3. Handwrite your solution and take a picture, upload the picture, and link it to the example.

Here is an example of what I mean. Check out the source code here.

In the next day or so I'll make a whole post of current examples and you can post your solutions as you wish.