Day 24 in Mat430

Last time: Through section 86

Next time: More Mobius, and Sine

Today:

Announcements

Collect: pp. 94--, #2, 4, 5, 6, 11
What did we decide about homework p. 99?
Two homeworks returned (p. 78, 89)
- 78:
- 89:
Test: Monday, 3/22

Today's activity, and new assignment:

Wed

3/17

87-88

Read 90 for this Friday/Wednesday of next week (exam Monday!)
With section 90 we'll finish with chapter 8; then I'll then give you a comic book version of chapter 9, and we'll jump to a few applications from chapter 10. Today we're going to polish up the Mobius transformation
Problems: to come....

Last time: sections 83-86 -- we're understanding some basic transformations
1. Linear (Affine) Transformation
2. ${T(z)=\frac{1}{z}}$
3. ${T(z)=\frac{1}{z}}$ maps circles and lines to circles and lines
4. Mobius transformations
Today: More mobius
- Mobius is one-one
- Extended, it's also onto
- It's invertible!
- Mapping the upper plane to a circle....

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