Michael Corral: Vector Calculus

Index 211
right-handed ..................... 2
spherical...................47, 182
coplanar.............................26
correlation ......................... 134
covariance..........................134
critical point.........................83
cross product........................20
curl ...................... 169, 178, 182
curvature............................62
cylinder ............................. 42
D
density.............................124
derivative.............................3
directional.......................78
mixed partial....................73
partial...........................71
vector-valued function .......... 52
determinant.........................26
differential.........................139
differential form ................... 139
directed curve......................144
direction angles.....................19
direction cosines.....................19
directional derivative ............... 78
distance .............................. 6
between points.................6, 7
from point to line................33
point to plane............37, 41, 42
distribution function...............129
joint............................131
normal.........................130
divergence ............... 162, 177, 182
Divergence Theorem...............162
dot product..........................15
double integral................102, 105
polar coordinates .............. 121
doubly ruled surface.................45
E
ellipsoid...................43, 123, 164
elliptic cone ......................... 45
elliptic paraboloid...................44
Euclidean space ...................... 1
exact differential form...139, 154, 175
expected value.....................132
extreme point ....................... 83
F
flux.................................162
force.................................55
function...............................1
continuous ...................... 69
scalar............................53
vector-valued....................51
G
Gaussian blur.......................70
global maximum .................... 83
global minimum.....................83
gradient........................80, 182
Green’s identities..................186
Green’s Theorem...................150
H
harmonic...........................186
helicoid..............................49
helix........................51, 59, 167
hyperbolic paraboloid ............... 44
hyperboloid..........................43
one sheet........................43
two sheets.......................43
hypersurface.......................110
hypervolume.......................110
I
improper integral..................108
integral..............................59
double.....................102, 105
improper.......................108
iterated........................102
multiple........................101
surface....................156, 158
triple...........................110
irrotational.........................174