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Unformatted text preview: the assigned homework problems. Refer back to these examples if
you are unsure how to do a particular problem. Many of the exam problems will be of one of these
standard types. 16.4: Gre e n's The ore m
Green's Theorem for simply connected regions
Green's Theorem for regions with "holes"
www.math.illinois.edu/~ stefanm/math241- fa13- final.html 2/4 12/22/13 M ath 241, Section E1H, Fall 2013, Final Exam Infor mation Computing areas via Green's Theorem
Summary: Green's Theorem (from a previous semester) 16.5: Div e rge nce , Gradie nt, and Curl
Divergence (div), gradient (grad), and curl of a vector field
Identities for curl(grad(f))) and div(curl(F))
Curl test for a conservative field (3D version of "mixed partials" test)
Connected regions and simply connected regions
Vector forms of Green's Theorem: tangential version (involving curl)...
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