Errata in Homework 1, Due Feb 7

The versions of the homework now posted on the web page include these corrections.
  • In Question 1, part 6, the question is only when xlower and xupper are adjacent IEEE floating point numbers, not other floating point numbers. In particular, they are binary.
  • In Question 4, part 3, the last sentence should have asked you to confirm numerically the same error bound that the first sentence asked you to prove. In particular, a factor of exp(2x) was missing from the error bound in the last sentence.
  • This is not a correction but a clarification: in Question 4, Parts 2 and 3, if you find it convenient to prove slightly smaller (better) upper bounds than the ones given by replacing the factors 3i-2 and 3(i-1) by something a little smaller, go ahead.