1617-257/HW-5: Difference between revisions
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'''Z. graded 8-1'''. |
'''Z. graded 8-1'''. |
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'''I. graded problem 8-5'''. Many employed the inverse function theorem (IFT) inappropriately here (injectivity is a requirement for the statement of the IFT - otherwise, the conclusion that the function in question is invertible doesn't make sense in the first place). One way to proceed is to show that the function is locally injective |
'''I. graded problem 8-5'''. Many employed the inverse function theorem (IFT) inappropriately here (injectivity is a requirement for the statement of the IFT - otherwise, the conclusion that the function in question is invertible doesn't make sense in the first place). One way to proceed is to show that the function in question is locally injective which then allows one to employ the IFT locally. |
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Revision as of 16:46, 1 November 2016
General grading scheme
Two problems graded out of 15 points each.
Comments
Z. graded 8-1.
I. graded problem 8-5. Many employed the inverse function theorem (IFT) inappropriately here (injectivity is a requirement for the statement of the IFT - otherwise, the conclusion that the function in question is invertible doesn't make sense in the first place). One way to proceed is to show that the function in question is locally injective which then allows one to employ the IFT locally.
