Day 07 in Mat360

Today:

• Return 1.1 problems:
  • #2: assert continuity, and invoke the Intermediate Value Theorem (we don't ask for the root, just an interval containing one!).
  • #9: A couple of things:
    • How do we know that the third derivative is biggest on the endpoints?
    • int(|f(x)-P₂(x)|dx) is not equal to
      |int(f(x)-P₂(x)dx)| or
      int(|f(x)|dx)-int(|P₂(x)|dx) in general!

• Collect problems 1.2.

• Questions/Comments on old stuff?
  • A little intuition into the Taylor Series Expansion....

• Section 1.3:
  • section 1.3 summary

  • Motivation: Why recurrence relations?

  • Back to
  • #6c, 7d