Unformatted text preview: the maximum/minimum could be at the boundary). 14.8: Lagrange multipliers. Be able to ﬁnd max/min of a function subject to a constraint. Be able to do this in 2 or 3 variables. Do not worry about more than one constraint. 15.1: Integration in two variables. Know what is an integral, know how to evaluate simple integrals (such as linear functions and constants) without using iterated integrals. Know how to estimate an integral using a partition. Know linearity of integral. Know Fubini’s theorem, and be able to evaluate integrals over rectangles using iterated integrals. 15.2: Integration over more general regions. Know the deﬁnitions. Be able to integrate over (horizontally/vertically) simple regions. Know that you can split an integral over a region by subdividing it into several regions. Know how to change the order of integration and how to describe a region in two ways if possible. 1...
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 Spring '08
 Helton
 Calculus, Continuity, Derivative, Limits, Iterated Integrals, directional derivatives

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