- Covered today: We began the process of extending all our favorite real-valued
functions of a real variable to complex-valued functions of a complex variable. Today, we
defined the exponential function, and the sine and cosine functions.
- For next time: (Note: there are lots of good problems in these sections, far
too many for me to assign all the interesting ones. You should glance at the unassigned problems
and convince yourself that you could do them.)
- Page 67-68
- 1c
- 3*
- 7*
- 8c
- 10*
- *Sketch the image of the set
under the transformation w=exp(z).
- Page 71-72
- 2 (note that this does not follow from Euler's formula - rather, this problem is a
verification that our definition is compatible with Euler's formula)
- 7
- 12*
- 14b*
Math 43 Spring 2000
2000-04-12