Day 18 in Mat430

Last time: Sufficient conditions

Next time: Entire functions

Today:

Announcements
- Due today: Homework, pp. 59--, #1, 4, 6, 8, 9
- Today's activity, and new assignment:
  Wed 2/24 23-25
  
  Read 28-29 (first two sections of chapter 3)
  pp. 74-, #1cd, 2bc, 5, 7b (due Wed., 3/3)
  pp. 78-, #1c, 2, 5, 6, 8 (due Fri., 3/5)
Last time: Sections 21-22: sufficient conditions for differentiability and the equivalent version in polar coordinates.
Today we look at Analytic functions, and the associated harmonic functions.
- Section 23: Analytic Functions
  - 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
- Section 25: Harmonic functions
  - Definition
  - Theorem and big picture
  - An example PDE
  - Harmonic conjugates
  - Examples

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