0708-1300/Homework Assignment 11: Difference between revisions
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{{In Preparation}} |
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==Reading== |
==Reading== |
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==Doing== |
==Doing== |
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Solve the following problems from Bredon's book, but submit only the solutions of the problems marked with an "S" - problems |
Solve the following problems from Bredon's book, but submit only the solutions of the problems marked with an "S" - problem 1 on page 182, problems '''S1''', '''S2''', '''S3''' and '''S4''' on page 190, problems 1, 2 and '''S3''' on page 194 and problems 2 and 3 on page 198. |
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==Due Date== |
==Due Date== |
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==Just for Fun== |
==Just for Fun== |
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A function <math>f:S^n\to S^n</math> is called "odd" if <math>f(-x)=-f(x)</math>. Try to prove that the degree of an odd function <math>f:S^n\to S^n</math> is an odd integer. |
Latest revision as of 07:49, 18 March 2008
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Reading
Read, reread and rereread your notes to this point, and make sure that you really, really really, really really really understand everything in them. Do the same every week!
Also, read section 6-11 and 17 of chapter IV 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" - problem 1 on page 182, problems S1, S2, S3 and S4 on page 190, problems 1, 2 and S3 on page 194 and problems 2 and 3 on page 198.
Due Date
This assignment is due in class on Thursday March 27, 2008.
Just for Fun
A function is called "odd" if . Try to prove that the degree of an odd function is an odd integer.