THE LAPLACE TRANSFORM
LEARNING GOALS
Definition
The transform maps a
function of time into a function of a complex
variable
Two important singularity
functions
The unit step and the unit
impulse
Transform pairs
Basic table with commonly
used transforms
Properties of the
transform
Theorem describing
properties. Many of them are useful as
computational tools
Performing the inverse
transformation
By restricting attention to
rational functions one can simplify
the inversion process
Convolution integral
Basic results in system
analysis
Initial and Final value
theorems
Useful result relating time
and s-domain behavior
