Checklist for Quiz 3
Andrei Jorza
November 20, 2009
The purpose of this checklist is to give you a brief overview of what happened in class since the midterm
and what kinds of things you might expect for the third takehome quiz.
1
Integrals
1.1
Double Integrals
1. The double integral as a volume under the graph.
2. Cavalieri’s principle and turning volumes into single integrals.
3. Iterated integrals and Fubini’s theorem.
4. Riemann sums and integrals over a rectangle when
f
is either continuous or bounded and has discon
tinuities a finite union of curves.
5. Properties of integrals.
6. Integrals over elementary regions.
7. Iterated integrals over elementary regions.
8. Fubini for elementary regions and transforming one iterated integral into another over
x
and
y
simple
regions.
In other words, changing the order of integration by changing the bounds on the iterated
integrals.
9. Mean value equality and inequality.
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 '08
 OBLOMKOV
 Integrals, Iterated Integrals, elementary regions

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