Math 005C Final Review
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110 Terms
find u x v
cross prod
parallelepiped (3D parallelogram), find (signed) volume
r = …
B dot…
intersect with z axis: …
equation of line, where r0 = …, v = …
equation of plane, where r0 = …, u = …, v = …, n = …
find a vector || to the line: …
write equation, draw in 3d @ given point (label everything)
y missing, therefore…
![<p>horiz. (|| xy plane [z = K], types of curves: …), vert (|| xz plane [y = K], || yz plane [x = K], type of curves: …)</p>](https://assets.knowt.com/user-attachments/e0792f06-27b3-435d-a881-b5690a4de16c.png)
horiz. (|| xy plane [z = K], types of curves: …), vert (|| xz plane [y = K], || yz plane [x = K], type of curves: …)
del r = …
dr = …, the part of d2r orthog. dr: …, the part of d3r orthog. dr & d2r: …
v, (mag. v)², mag v, T, dT/dS, K, N
central diff formulas, f’(x) ~=
central diff formulas
bowl, saddle
del z = …
dz = … (in terms of partial differentials, NOT partial derivs)
in terms of partial derivs
for f(x, y)
for f(x, y)
D = … (for f(x, y))
D pos, neg, 0
draw
name type of surface, express in cyl/sph coords with single var
find dS and dV for cyl and sph
for each vector field type: write equation, find deriv, draw
Green’s Theorem (2d curl ver.)
Green’s Theorem (2d divergence version)
