Day 28 in Mat360

Today:

• Announcements:
  • Section 3.2 homework is due today.
    • Evan had a question on
  • Let's make sections 3.3 and 3.4 both due next Friday.
  • Section 3.1 homework: grading 1a,b,c, 6a, 9a, 10a (sorry, not finished yet...)
  • Let's talk about quizzes....

• One last example for Splines:
  • On cheating the system: using redundant knots
  • Mathematica code, only cheating to fit splines with fewer than three knots.

• 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