Daily Assignment for Wednesday, February 26

Due Friday, February 28 on Canvas.

• Can you identify any problems with Needham's §5.5.2 ?
• Explain the following : if \( f \) is \( \mathbb C \)-differentiable and there is a point \( z_0 \in \mathbb C \) such that the \( \mathbb R \)-derivative of \( f \) at \( z_0 \) vanishes in one direction then it vanishes in all directions. In other words, if there is a vector \( v \) such that \( Df(z_0) v = 0 \) then \( Df(z_0) = 0 \).
• Do exercises 1, 2, 5 on p. 293.
• Assign yourself a grade for this assignment :
  1. At least 60 minutes.
  2. About 45 minutes.
  3. About 30 minutes.
  4. About 15 minutes.
  Submit your grade as a submission comment with your assignment. This comment must be the first comment and it must be exactly 1 character long or the grade won't be registered.