MATHEMATICA PACKAGES

<<Calculus`LaplaceTransform`

LaplaceTransform[ t^4 E^(-a t), t, s ]

InverseLaplaceTransform[%, s, t]

<<Calculus`FourierTransform`

?FourierTransform

FourierTransform[ E^(-t^2 + I b t), t, w ]

Simplify[%]

InverseFourierTransform[%, w, t]

<<Calculus`VectorAnalysis`

SetCoordinates[ Spherical[r,theta,phi] ]

field = 1/r Cos[ theta ]

Grad[ field ]

Div[ Grad[ field ] ]

Laplacian[ field ]

Curl[ Grad[ field ] ]

<<Algebra`SymbolicSum`

SymbolicSum[ n^(-s), {n,1, Infinity} ]

Plot[ Im[ Zeta[1/2 + I s] ], {s,0,40} ]