0708-1300/Homework Assignment 4: Difference between revisions

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Find a ''geometric'' interpretation to the formula
Find a ''geometric'' interpretation to the formula
{{Equation*|<math>d\omega(X,Y)=X(\omega(Y))-Y(\omega(X))-\omega([X,Y])</math>.}}
{{Equation*|<math>d\omega(X,Y)=X(\omega(Y))-Y(\omega(X))-\omega([X,Y])</math>.}}
(Of course, you have to first obtain a ''geometric'' understanding of <math>[X,Y]</math>, and this in itself is significant and worthwhile).

Revision as of 17:21, 31 October 2007

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# Week of... Links
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In Preparation

The information below is preliminary and cannot be trusted! (v)

Reading

Read section 11 of chapter II and sections 1-3 of chapter V of Bredon's book three times:

  • First time as if you were reading a novel - quickly and without too much attention to detail, just to learn what the main keywords and concepts and goals are.
  • Second time like you were studying for an exam on the subject - slowly and not skipping anything, verifying every little detail.
  • And then a third time, again at a quicker pace, to remind yourself of the bigger picture all those little details are there to paint.

Doing

Solve the following problems from Bredon's book, but submit only the solutions of the problems marked with an "S":

problems on page(s)
S1, S2 100-101
S1, S2, S3 264

Due Date

This assignment is due in class on Thursday November 15, 2007.

Just for Fun

Find a geometric interpretation to the formula

.

(Of course, you have to first obtain a geometric understanding of , and this in itself is significant and worthwhile).

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