Day 30 in Mat360

Today:

• Announcements:
  • Section 3.1 homework: graded 1a,b,c, 6a, 9a, 10a (Mathematica code)
    • On 6: make sure that you use the right interpolator for the job!
    • Ditto on #9, 10
    • I'd be glad to have your code, so that others could use some of your strategies. Some of you are doing very nice things in Mathematica. Please email this to me, when you turn in your homework, if you don't mind.
  • Section 3.2 homework is not back yet.
  • Both sections 3.3 and 3.4 homeworks are due next time, Friday.
  • We'll start the "content quizzes" next Wednesday, since I didn't get the chance to propose a subject on Monday. I'll give you 15 minutes at the end of class.

• Section 4.1: Numerical Differentiation
  • section 4.1 summary (part a)

  • Problems:
    • 1a: for which values can we use a centered difference?
    • 3a
    • Implications for computing numerical derivatives -- which one might use to find the maximum or minimum of a function, numerically....

  • section 4.1 summary (part b)

  • Using linear algebra to derive derivative rules from Taylor Series: Mathematica code

• Richardson's Extrapolation
  • section 4.2 summary (in which we stay in our linear algebra frame of mind!)

  • #1a
  • #5
  • #12