AMATH 352
Autumn Quarter, 2003
This Thursday 10/23 I will not be able to make my usual office hours 9-10. Instead I will be in the MSCC lab 11-12 on Thursday. Sorry for any inconvenience.
Midterm 1 will be next Wednesday, October 29. As announced on the information sheet handed out the first day (and on the webpage), you may bring one page of handwritten notes (8.5x11 page, both sides) to the exam. You may bring a calculator. I will hand out a review sheet.
I also plan to have a review session before the exam, tentatively scheduled for Monday 10/27, 4:30 - 6:00pm.
A correction to problem 2(c): the last term in the expressions of x_1, x_2 should be epsilon^2 (instead of epsilon^3).
Clarification of Hint on Section 1.1 #9(a): "observe that this is an increasing function of x..." I should have said "observe that the expression for the error bound is an increasing function of xi ..." (where xi is the greek letter in this problem).
Note on Section 1.1 #14: Note that P(x) = x is the first-order Taylor polynomial approximating sin(x). But it is also the second-order Taylor polynomial approximating sin(x). (Why?) So it's possible to use either of two different remainder terms to approximate the error. Which gives a better estimate of the actual error?