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Calculus IV Geometric Surfaces
N/A
12
Mathematics
Undergraduate 2
12/01/2010
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Term
z=x2+y2
 Definition
paraboloid
Term
Φ(u,v)=(ucos0,usin0,u2)
 Definition
parametrized paraboloid
Term
x2+y2+z2=R2
 Definition
sphere
Term
Φ(0,o)=(Rcos0sino,Rsin0sino,coso)
 Definition
parametrized sphere
Term
Φ(0,z)=(Rcos0,Rsin0,z)
 Definition
parametrized cylinder
Term

Φ(x,y)=(x,y,g(x,y))

 Definition
parametrized graph of z=g(x,y)
Term

Φ(u,v)=(ucosv,usinv,u)

 Definition
parametrized cone
Term
z2=x2+y2
 Definition
cone
Term
Green's Theorem
 Definition
OINTc=Pdx+Qdy=DBLINT(pdQ/pdx-pdP/pdy)dA
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