| 1.
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Use plane and space vectors to solve geometry and physics problems.
(I)
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| 2.
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Use space curves to analyze the motion of an object. (II)
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| 3.
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Use contour diagrams to analyze the behavior of a function of several
variables. (III)
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| 4.
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Use partial derivatives to solve optimization problems. (III)
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| 5.
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Set up and compute double and triple integrals in any order of
integration using rectangular coordinates. (IV)
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| 6.
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Set up and compute double and triple integrals using polar,
cylindrical, and spherical coordinates. (IV)
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| 7.
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Use line integrals to compute the work done by a vector field along a
curve. (V)
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| 8.
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Use surface integrals to compute the flux of a vector field through a
surface. (V)
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| 9.
|
Use multiple integrals to calculate line and surface integrals. (V)
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