Day 40, Mat420: Real Analysis

• Announcements:
  • In-class corrections returned; sorry, I still haven't finished the takehome corrections.
  • You have an assignment due today.
  • You have one more assignment (due 12/7).

• Today we finish with section 4.2: Monotone and Inverse Functions
  1. Look over the proof of Theorem 4-13, and
  2. Look over the proof of Theorem 4-14.

  and then we'll begin with section 5.1: The Derivative.

  • Let's begin by showing that the function in our "Pathological Functions" handout (p. 802) is differentiable at 0 (and then not differentiable at any other point).

Links:

• "Pathological Functions" handout: a Nov. 2011 Monthly article.