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GATE CSE - Important Keywords

Gradient
divergence
curl
Directional derivative
field
vector field
Irrotational vector field
solenoidal
solenoidal vector fields
Vector integration
integration
Greens theorem
Greens theorem in a plane
plane
Gauss divergence theorem
theorem
divergence
Stokes
Stokes theorem
simple cubes
cubes applications
Simple cubes applications
parallelopipeds
rectangular parallelopipeds
parallelopipeds
Laplace transform
Laplace
existence
condition for existence
elementary functions
Transform of elementary functions
transform
properties of Laplace transform
Transforms of derivatives
integrals functions
integrals
integrals of transforms
transforms
step
step function
unit step function
periodic
impulse
unit step function
impulse functions
step function
periodic functions
Laplace transform
Inverse Laplace transform
Convolution theorems
theorems
value theorems
Initial value theorems
final value theorems
ODE
linear ODE
linear ODE of second order
second order
Laplace transformation techniques
transformation techniques
variables
complex variables
Functions of a complex variable
Analytic
Analytic functions
Riemann
Cauchy
Cauchy Riemann equations
conditions Cauchy Riemann equations
analytic function
analytic
Harmonic properties
Harmonic properties of analytic function
orthogonal properties of analytic function
conjugate
Harmonic conjugate
mapping
Conformal mapping
bilinear
bilinear transformation
integration
Complex integration
integral formula
integral theorem
Cauchys integral theorem
Cauchys integral formula
expansions
series expansions
Taylors series expansions
Laurents series expansions
Singular points
residue theorem
Cauchy s residue theorem
real definite
integrals
definite integrals
Evaluation of real definite integrals
real definite integrals
contour
contour integrals
circle
unit circle
semi circle
Real axis
axis
poles on the real axis
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