1617-257/HW-5: Difference between revisions

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'''Z. graded 8-1'''.
'''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). Among other things, one could have either delved into a proof of the IFT or argued that the function is locally injective so that one can employ the IFT locally.
'''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). Among other things, one could have argued that the function is locally injective so that one can employ the IFT locally.

Revision as of 17:31, 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). Among other things, one could have argued that the function is locally injective so that one can employ the IFT locally.