- Reminder: you have three assignments due in three days next week -- try to keep up!
- Today's activity, and new assignment:
Fri 2/26 25, 28, 29 - Read 30-31 (chapter 3)
- problems to follow
- Definitions
- Analytic function (in a domain, at a point)
- Entire function
- Singular point
- Example (involving hyperbolic trig functions)
- Theorem about zero derivatives
- Example related to theorem
- Definition
- Theorem and big picture
- An example PDE
- Harmonic conjugates
- Examples
- Definition -- the extension of
into the complex plane
- The old familiar properties hold:
- There are some new things under the sun:
- f can be negative
- f is periodic (with imaginary period)
- Examples
- Definition -- a multi-valued function (no surprise, really)
- Branches
- Even so, many of the old familiar properties hold.