- Covered today: We introduced the definition of differentiability at a point for a
complex function, which looks very familiar. We discovered necessary (the Cauchy-Riemann
equations) and sufficient (Theorem, Section 18) conditions for differentiability, and we took a
brief look at the C-R equations in polar coordinates.
- For next time:
- Page 42-43
- Page 47-48
- Page 54-55
- 1c (note: in order to cut down on busy-work, I will typically only assign one part of
multi-part problems. You should always consider the other parts of the problem to be good
practice problems.)
- 2b*
- 3b*
- 6 (note the significance: this function shows that the Cauchy-Riemann equations are not
sufficient to guarantee differentiability.)
- 7
- 8*
Math 43 Spring 2000
2000-04-07