1
Q
Surface
A
3D shape
2
Q
surface of r(t) = <cos(t), sin(t), t>
A
helix around a cylinder
3
Q
how many parameters do you need to describe surfaces?
A
2 (usually u and v)
4
Q
definition of a parametric surface
A
r(u,v)= <x(u,v), y(u,v), z(u,v)>
CALC 3
flashcards
Decks in class (21)
# Cards
-
3D space13
-
Vectors14
-
Dot Product11
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Cross Product19
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9.6: Functions and Surfaces12
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9.7: Cylindracal and Spherical Coordinates12
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10.1: Vector Functions and Space Curves11
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10.2: Derivatives and Integrals of Vector Functions12
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10.3: Arc Length and Curvature14
-
10.5: Parametric Surfaces4
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11.2: Limits and Continuity7
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11.3: Partial Derivatives8
-
11.4: Tangent Planes and Linear Approx5
-
11.5: Chain Rule3
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11.5: Implicit diff2
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11.6: Directional Derivatives6
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11.7: Min and Max Values8
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12.1: Double Integrals of rectangular regions7
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12.2: Iterated Integrals3
-
12.3: Double Integrals over general region2
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12.4: double integrals in polar coord3
