Day 34 in Mat360

Today:

• Announcements:
  • I'm returning some of the 3.4 homeworks -- for those of you who sent it via the net, I forgot to print them off! I'll do that right after class.

  • Homework 4.1 due today (4.2 due next Friday)

  • Note: Evan brought an error to my attention in the 3-point backwards difference formula for the derivative, in my page section 4.1b summary

  • Test Monday
    • Coverage:
      • section 2.6
      • chapter 3 (sections 3.1-3.4)
      • section 4.1.

    • It will again come in two parts. I'll give you a take-home part that will be due next Friday.

    • NB: You may have a 3x5 card with whatever on it for the in-class portion.

    • Here's test 2 from the last time I taught it (it was entirely in-class, and included section 4.2)

  • The quiz didn't seem to go any better this way: there was
    • much heartache,
    • gnashing of teeth, and
    • rending of garments.

    Some people got 6/10 -- that was a relatively good score....

    The Taylor series expansion (with error term) is the single most important analysis tool we have used, and it may lay claim to that title for all of numerical analysis. "Analysis" is part of the name of this course, and it ties us into calculus. Then we plow this theoretical tool back into the methods of calculus, to develop methods for modeling and calculation when other theoretical methods fail (e.g. finding antiderivatives, solving equations to find roots).

    You should know it by now....

• Section 4.4: putting the elements together into composite schemes
  • section 4.4 summary

  • comparing Simpson and Trapezoidal: