Day 7 in
Mat430
Last time
: Topology
Next time
: Mappings
Today
:
Announcements
You have an assignment due next time.
Today's activity, and new assignment:
Wed
1/27
Sections 8 (5th), 11 (7th)
Now using reference only to the 7th edition: Read 12, 13
p. 35, #2, 3, 4 (justify all! -- answers are given). Due Wed, 2/3.
Homework returned -- sets 1 and 2. Comments:
Show work
Watch on the induction -- somewhere you need to use the anchor and/or hypotheses
no "i" in components
Invoke rules, theorems, and show steps
What is an ellipse?
Section 8 (end of 5th edition references, and chapter 1): Topology
Neighborhoods
Open/Closed/Boundary
Accumulation Points
Domains
Regions
Section 11 (7th edition; beginning of chapter 2): Functions of a complex variable
Definition
Examples
Components as functions of two variables (multivariate!)
Usual classes
Multi-valued functions and branches
Visualizing functions of a complex variable requires 4-D glasses!;)
Website maintained by
Andy Long
. Comments appreciated.