Last time we made the correspondence between points and the plane
and points on the sphere explicit, by coming up with an
equation for the one-to-one correspondence: Stereographic.nb
Examples: Let's look at #10 from your homework (which was
originally scheduled to be part of your exam)
#10, p. 54
Section 17: Continuity
I don't want to dwell on these issues: they're intuitively the same as we're accustomed to.
Continuity of Polynomials
Continuity of Rational functions
One thing especially to keep in mind: Compositions of continuous functions are continuous.
Section 18: Derivatives
Definition
Example: #3, p. 60
A seemingly bizarre example: Example 2, p. 55
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