Michael Corral: Vector Calculus

212 Index
iterated integral ................... 102
J
Jacobi identity ...................... 30
Jacobian ........................... 119
joint distribution...................131
L
Lagrange multiplier.................96
lamina ............................. 124
Laplacian.....................178, 182
level curve...........................66
limit.................................67
vector-valued function .......... 52
line..................................31
intersection of planes ........... 38
parallel..........................34
parametric representation......31
perpendicular...................34
skew.............................34
symmetric representation.......32
through two points..............33
vector representation ........... 31
line integral...................136, 139
local maximum......................83
local minimum......................83
M
mass ............................... 124
matrix...............................27
mixed partial derivative.............73
Möbius strip ....................... 168
moment.......................124, 126
momentum..........................55
Monte Carlo method...............113
moving frame fields.................62
multiple integral...................101
multiply connected.................153
N
n-positive direction ................ 169
Newton’s algorithm ................. 89
normal derivative..................186
normal to a curve ................... 81
normal vector field.................168
O
orientable..........................168
orthonormal vectors.................64
outward normal....................160
P
paraboloid...........................44
elliptic...........................44
hyperbolic...................44, 84
of revolution.....................44
parallelepiped.......................24
volume..........................25
parameter.......................31, 60
parametrization.....................60
partial derivative....................71
partial differential equation.........74
path independence.......146, 154, 175
piecewise smooth curve............141
plane................................35
coordinate........................1
Euclidean.........................1
in space ......................... 35
line of intersection..............38
normal form.....................35
normal vector...................35
point-normal form...............35
tangent..........................75
through three points............36
position vector..............54, 55, 139
potential........................... 148
probability.........................128
probability density function........129
projection............................19
Q
quadric surface......................43
R
random variable ................... 128
Riemann integral..................135