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q3notes

# q3notes - Checklist for Quiz 3 Andrei Jorza The purpose of...

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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 take-home 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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q3notes - Checklist for Quiz 3 Andrei Jorza The purpose of...

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