1617-257/HW-5

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General grading scheme

Two problems graded out of 15 points each.


Comments

J.A.Z. graded problem 1 from section 8.

J.I. graded problem 5 from section 8. 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.