- We need to think about exam 1. How about the 12th?
- Hand in homework, p. 35
- Today's activity, and new assignment:
Wed 2/3 13-14 - Read sections 15, 16, 17
- Rotations, translations, scalings,....
- Mapping special curves, and straight lines (review of conic sections)
- hyperbolas to lines
- mappings to the coordinate axes
- and direction matters....
- Here's a rather sad applet....
- Mapping regions
- Mapping boundaries
- In this example, we map lines in the domain space to regions in the image space.
- The example shows a periodicity that our previous example didn't.
- Definition
- Limits are unique
- Examples, using the definition
- (Limits exist) iff (limits of components exist)
- Given that limits of f and g exist at
. Then limits of sums, products, and quotients exist, as expected (usual caveat for quotients -- denominator doesn't go to zero)