Day 7 in Mat430

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!;)