The Laplace transform is a linear transformation between vector spaces of functions.
The Laplace transform is used to reformulate problems from differential equations to algebraic equations.
The Laplce transform is defined via an improper integral.
The Laplace transform is a function of t.
The Laplace transform is evaluated via a limit.
The Laplace transform is linear.
The Lapace transform of the function f(t) = 1 is s.
Exponential order means that the function grows faster than an exponential function.
A piecewise continuous function can have an infinite number of discontinuities.
Partial fractions is used on rational functions.